Hadronic photon-photon interactions at high energies
- 格式:pdf
- 大小:434.23 KB
- 文档页数:49
DESY06-023ISSN0418-9833 March2006Diffractive Photoproduction ofρMesonswith Large Momentum Transfer at HERAH1CollaborationAbstractThe diffractive photoproduction ofρmesons,ep→eρY,with large momentum trans-fer squared at the proton vertex,|t|,is studied with the H1detector at HERA using anintegrated luminosity of20.1pb−1.The photon-proton centre of mass energy spans therange75<W<95GeV,the photon virtuality is restricted to Q2<0.01GeV2and themass M Y of the proton remnant is below5GeV.The t dependence of the cross sectionis measured for the range1.5<|t|<10.0GeV2and is well described by a power law,dσ/d|t|∝|t|−n.The spin density matrix elements,which provide information on the he-licity structure of the interaction,are extracted using measurements of angular distributionsof theρdecay products.The data indicate a violation of s-channel helicity conservation,with contributions from both single and double helicity-flip being observed.The results arecompared to the predictions of perturbative QCD models.Submitted to Phys.Lett.BA.Aktas9,V.Andreev25,T.Anthonis3,B.Antunovic26,S.Aplin9,A.Asmone33,A.Astvatsatourov3,A.Babaev24,†,S.Backovic30,A.Baghdasaryan37,P.Baranov25,E.Barrelet29,W.Bartel9,S.Baudrand27,S.Baumgartner39,J.Becker40,M.Beckingham9, O.Behnke12,O.Behrendt6,A.Belousov25,N.Berger39,ot27,M.-O.Boenig6,V.Boudry28,J.Bracinik26,G.Brandt12,V.Brisson27,D.Bruncko15,F.W.B¨u sser10,A.Bunyatyan11,37,G.Buschhorn26,L.Bystritskaya24,A.J.Campbell9,F.Cassol-Brunner21, K.Cerny32,V.Cerny15,46,V.Chekelian26,J.G.Contreras22,J.A.Coughlan4,B.E.Cox20,G.Cozzika8,J.Cvach31,J.B.Dainton17,W.D.Dau14,K.Daum36,42,Y.de Boer24,B.Delcourt27,M.Del Degan39,A.De Roeck9,44,E.A.De Wolf3,C.Diaconu21,V.Dodonov11, A.Dubak30,45,G.Eckerlin9,V.Efremenko24,S.Egli35,R.Eichler35,F.Eisele12,A.Eliseev25, E.Elsen9,S.Essenov24,A.Falkewicz5,P.J.W.Faulkner2,L.Favart3,A.Fedotov24,R.Felst9, J.Feltesse8,J.Ferencei15,L.Finke10,M.Fleischer9,P.Fleischmann9,G.Flucke33,A.Fomenko25,G.Franke9,T.Frisson28,E.Gabathuler17,E.Garutti9,J.Gayler9,C.Gerlich12, S.Ghazaryan37,S.Ginzburgskaya24,A.Glazov9,I.Glushkov38,L.Goerlich5,M.Goettlich9, N.Gogitidze25,S.Gorbounov38,C.Grab39,T.Greenshaw17,M.Gregori18,B.R.Grell9,G.Grindhammer26,C.Gwilliam20,D.Haidt9,L.Hajduk5,M.Hansson19,G.Heinzelmann10, R.C.W.Henderson16,H.Henschel38,G.Herrera23,M.Hildebrandt35,K.H.Hiller38,D.Hoffmann21,R.Horisberger35,A.Hovhannisyan37,T.Hreus3,43,S.Hussain18,M.Ibbotson20,M.Ismail20,M.Jacquet27,L.Janauschek26,X.Janssen3,V.Jemanov10,L.J¨o nsson19,D.P.Johnson3,A.W.Jung13,H.Jung19,9,M.Kapichine7,J.Katzy9,I.R.Kenyon2,C.Kiesling26,M.Klein38,C.Kleinwort9,T.Klimkovich9,T.Kluge9,G.Knies9, A.Knutsson19,V.Korbel9,P.Kostka38,K.Krastev9,J.Kretzschmar38,A.Kropivnitskaya24, K.Kr¨u ger13,ndon18,nge38,ˇs toviˇc ka38,32,ˇs toviˇc ka-Medin30,ycock17,A.Lebedev25,G.Leibenguth39,V.Lendermann13,S.Levonian9,L.Lindfeld40, K.Lipka38,A.Liptaj26,B.List39,J.List10,E.Lobodzinska38,5,N.Loktionova25,R.Lopez-Fernandez23,V.Lubimov24,A.-I.Lucaci-Timoce9,H.Lueders10,D.L¨u ke6,9,T.Lux10,L.Lytkin11,A.Makankine7,N.Malden20,E.Malinovski25,S.Mangano39,P.Marage3,R.Marshall20,M.Martisikova9,H.-U.Martyn1,S.J.Maxfield17,A.Mehta17,K.Meier13,A.B.Meyer9,H.Meyer36,J.Meyer9,V.Michels9,S.Mikocki5,cewicz-Mika5,stead17,D.Mladenov34,A.Mohamed17,F.Moreau28,A.Morozov7,J.V.Morris4,M.U.Mozer12,K.M¨u ller40,P.Mur´ın15,43,K.Nankov34,B.Naroska10,Th.Naumann38,P.R.Newman2,C.Niebuhr9,A.Nikiforov26,G.Nowak5,K.Nowak40,M.Nozicka32,R.Oganezov37,B.Olivier26,J.E.Olsson9,S.Osman19,D.Ozerov24,V.Palichik7,I.Panagoulias9,T.Papadopoulou9,C.Pascaud27,G.D.Patel17,H.Peng9,E.Perez8,D.Perez-Astudillo22,A.Perieanu9,A.Petrukhin24,D.Pitzl9,R.Plaˇc akyt˙e26,B.Portheault27,B.Povh11,P.Prideaux17,A.J.Rahmat17,N.Raicevic30,P.Reimer31,A.Rimmer17,C.Risler9,E.Rizvi18,P.Robmann40,B.Roland3,R.Roosen3,A.Rostovtsev24,Z.Rurikova26,S.Rusakov25,F.Salvaire10,D.P.C.Sankey4,E.Sauvan21, S.Sch¨a tzel9,S.Schmidt9,S.Schmitt9,C.Schmitz40,L.Schoeffel8,A.Sch¨o ning39,H.-C.Schultz-Coulon13,F.Sefkow9,R.N.Shaw-West2,I.Sheviakov25,L.N.Shtarkov25,T.Sloan16,P.Smirnov25,Y.Soloviev25,D.South9,V.Spaskov7,A.Specka28,M.Steder9,B.Stella33,J.Stiewe13,U.Straumann40,D.Sunar3,V.Tchoulakov7,G.Thompson18,P.D.Thompson2,T.Toll9,F.Tomasz15,D.Traynor18,P.Tru¨o l40,I.Tsakov34,G.Tsipolitis9,41, I.Tsurin9,J.Turnau5,E.Tzamariudaki26,K.Urban13,M.Urban40,ik25,D.Utkin24, A.Valk´a rov´a32,C.Vall´e e21,P.Van Mechelen3,A.Vargas Trevino6,Y.Vazdik25,C.Veelken17, S.Vinokurova9,V.V olchinski37,K.Wacker6,G.Weber10,R.Weber39,D.Wegener6,1C.Werner12,M.Wessels9,B.Wessling9,Ch.Wissing6,R.Wolf12,E.W¨u nsch9,S.Xella40, W.Yan9,V.Yeganov37,J.ˇZ´aˇc ek32,J.Z´a leˇs´a k31,Z.Zhang27,A.Zhelezov24,A.Zhokin24, Y.C.Zhu9,J.Zimmermann26,T.Zimmermann39,H.Zohrabyan37,and F.Zomer271I.Physikalisches Institut der RWTH,Aachen,Germany a2School of Physics and Astronomy,University of Birmingham,Birmingham,UK b3Inter-University Institute for High Energies ULB-VUB,Brussels;Universiteit Antwerpen, Antwerpen;Belgium c4Rutherford Appleton Laboratory,Chilton,Didcot,UK b5Institute for Nuclear Physics,Cracow,Poland d6Institut f¨u r Physik,Universit¨a t Dortmund,Dortmund,Germany a7Joint Institute for Nuclear Research,Dubna,Russia8CEA,DSM/DAPNIA,CE-Saclay,Gif-sur-Yvette,France9DESY,Hamburg,Germany10Institut f¨u r Experimentalphysik,Universit¨a t Hamburg,Hamburg,Germany a11Max-Planck-Institut f¨u r Kernphysik,Heidelberg,Germany12Physikalisches Institut,Universit¨a t Heidelberg,Heidelberg,Germany a13Kirchhoff-Institut f¨u r Physik,Universit¨a t Heidelberg,Heidelberg,Germany a14Institut f¨u r Experimentelle und Angewandte Physik,Universit¨a t Kiel,Kiel,Germany15Institute of Experimental Physics,Slovak Academy of Sciences,Koˇs ice,Slovak Republic f 16Department of Physics,University of Lancaster,Lancaster,UK b17Department of Physics,University of Liverpool,Liverpool,UK b18Queen Mary and Westfield College,London,UK b19Physics Department,University of Lund,Lund,Sweden g20Physics Department,University of Manchester,Manchester,UK b21CPPM,CNRS/IN2P3-Univ.Mediterranee,Marseille-France22Departamento de Fisica Aplicada,CINVESTAV,M´e rida,Yucat´a n,M´e xico j23Departamento de Fisica,CINVESTAV,M´e xico j24Institute for Theoretical and Experimental Physics,Moscow,Russia k25Lebedev Physical Institute,Moscow,Russia e26Max-Planck-Institut f¨u r Physik,M¨u nchen,Germany27LAL,Universit´e de Paris-Sud,IN2P3-CNRS,Orsay,France28LLR,Ecole Polytechnique,IN2P3-CNRS,Palaiseau,France29LPNHE,Universit´e s Paris VI and VII,IN2P3-CNRS,Paris,France30Faculty of Science,University of Montenegro,Podgorica,Serbia and Montenegro e31Institute of Physics,Academy of Sciences of the Czech Republic,Praha,Czech Republic h 32Faculty of Mathematics and Physics,Charles University,Praha,Czech Republic h33Dipartimento di Fisica Universit`a di Roma Tre and INFN Roma3,Roma,Italy34Institute for Nuclear Research and Nuclear Energy,Sofia,Bulgaria e35Paul Scherrer Institut,Villigen,Switzerland36Fachbereich C,Universit¨a t Wuppertal,Wuppertal,Germany37Yerevan Physics Institute,Yerevan,Armenia38DESY,Zeuthen,Germany39Institut f¨u r Teilchenphysik,ETH,Z¨u rich,Switzerland i40Physik-Institut der Universit¨a t Z¨u rich,Z¨u rich,Switzerland i241Also at Physics Department,National Technical University,Zografou Campus,GR-15773 Athens,Greece42Also at Rechenzentrum,Universit¨a t Wuppertal,Wuppertal,Germany43Also at University of P.J.ˇSaf´a rik,Koˇs ice,Slovak Republic44Also at CERN,Geneva,Switzerland45Also at Max-Planck-Institut f¨u r Physik,M¨u nchen,Germany46Also at Comenius University,Bratislava,Slovak Republic†Deceaseda Supported by the Bundesministerium f¨u r Bildung und Forschung,FRG,under contract numbers05H11GUA/1,05H11PAA/1,05H11PAB/9,05H11PEA/6,05H11VHA/7and 05H11VHB/5b Supported by the UK Particle Physics and Astronomy Research Council,and formerly by the UK Science and Engineering Research Councilc Supported by FNRS-FWO-Vlaanderen,IISN-IIKW and IWT and by Interuniversity Attraction Poles Programme,Belgian Science Policyd Partially Supported by the Polish State Committee for Scientific Research,SPUB/DESY/P003/DZ118/2003/2005e Supported by the Deutsche Forschungsgemeinschaftf Supported by VEGA SR grant no.2/4067/24g Supported by the Swedish Natural Science Research Councilh Supported by the Ministry of Education of the Czech Republic under the projects LC527and INGO-1P05LA259i Supported by the Swiss National Science Foundationj Supported by CONACYT,M´e xico,grant400073-Fk Partially Supported by Russian Foundation for Basic Research,grants03-02-17291and04-02-1644531IntroductionDiffractive vector meson production in ep interactions with large negative four-momentumtransfer squared at the proton vertex,t,provides a powerful means to probe the nature of thediffractive exchange.It has been proposed as a process in which Quantum Chromodynamics(QCD)effects predicted by the BFKL evolution equation[1,2]could be observed.Theoreti-cally,the large momentum transfer provides the hard scale necessary for the application of per-turbative QCD(pQCD)models.In such models,diffractive vector meson production is viewed,in the proton rest frame,as a sequence of three processes well separated in time:the intermedi-ate photonfluctuates into a q¯q pair;the q¯q pair is involved in a hard interaction with the protonvia the exchange of a colour singlet state,and the q¯q pair recombines to form a vector meson.Atleading order(LO),the interaction between the q¯q pair and the proton is represented by the ex-change of two gluons.Beyond LO,the exchange of a gluon ladder has to be considered which,in the leading logarithm(LL)approximation,can be described by the BFKL equation.Thetreatment of the formation of the vector meson,which is a non-perturbative process,involves aparameterisation of the meson wavefunction.At high|t|,the t dependence of vector meson production and of the spin density matrix elementshas been measured in photoproduction by ZEUS[3](ρ,φ,J/ψ)and H1[4,5](J/ψ,ψ(2s)).H1has also measured the t dependence of the spin density matrix elements for theρmeson at high|t|in electroproduction[6].The data on light vector meson production(ρ,φ)at large|t|indicate a violation of s-channel helicity conservation(SCHC),i.e.the non-conservation of the helicitybetween the exchanged photon and the vector meson.This is in contrast to measurements ofthe heavier J/ψmeson,where s-channel helicity is seen to be conserved[3,4].This paper presents new measurements of the diffractive production ofρmesons at large|t|,inthe range1.5<|t|<10GeV2:ep→eρY;ρ→π+π−,(1) in the photoproduction regime,i.e.Q2≃0GeV2where Q2is the modulus of the squared four momentum carried by the intermediate photon.The system Y represents either an elastically scattered proton or a low mass dissociated system.A clean signature and low background rates make this process experimentally attractive and it is possible to precisely determine the kine-matics of the process through an accurate measurement of the vector meson four momentum. The dependence on t of the cross section is measured and the spin density matrix elements are extracted,which provide information on the helicity structure of the interaction.2Perturbative QCD ModelsPerturbative QCD calculations at leading order(two-gluon exchange)have been performed for high|t|vector meson photoproduction in[7].For light vector mesons,these calculations indicate that,although the initial photon is transversely polarised,the vector meson is produced predominantly in a longitudinal state.Intuitively,this can be understood as follows.Since the light quark and antiquark have opposite helicities(chiral-even configuration),the pair must be in4an orbital momentum state with projection L z=±1onto the photon axis,in order to conserve the photon spin projection.The hard interaction between the dipole and the gluon system doesnot affect the dipole size nor the quark and antiquark helicities,but modifies the dipole line offlight.This implies a damping by a factor∝1/|t|of the probability of measuring the valueL z=±1for the projection of the dipole angular momentum onto its line offlight,and hence of transversely polarised vector meson production.However,in contrast to these pQCD expectations,experimental observations indicate that lightvector mesons are produced predominantly in a transverse polarisation state[3].Asfirst realisedin[8]an enhanced production of transversely polarisedρmesons can be accounted for by thepossibility for a real photon to couple to a q¯q pair in a chiral-odd spin configuration even in thecase of light quarks1.The data presented in this paper are compared to two theoretical predictions:afixed order cal-culation in which the hard interaction is approximated by the exchange of two gluons2,and aLL calculation in which it is described according to the BFKL evolution.In both cases,thechiral-odd component of the photon wavefunction is obtained by giving the quarks a“con-stituent quark mass”m=m V/2,where m V is the mass of the vector meson,and a set of QCD light-cone wavefunctions for the vector meson[11]is used.The BFKL calculation is described in[9,10].The BFKL resummation cures some possibleinstabilities which might affect the two-gluon predictions[1].The expansions on the light-coneof the relevant hadronic matrix elements are performed up to twist-3,i.e.next-to-leading twist.The leading logarithm nature of the calculation prevents an absolute prediction for the normal-isation of the cross sections,due to the presence of an undefined energy scaleΛ.In[9,10]thisscale is allowed to run with t according toΛ2=m2V−γt,whereγis a free parameter.The value of the strong coupling constant isfixed since this is appropriate in the LL approximation andhas proved successful[12,13]in describing previous data.The parameter values,as obtainedfrom afit to the ZEUS data in[3],are:γ=1.0andαBF KL=0.20[14].s3Data Analysis3.1Event SelectionThe data used for the present analysis were taken with the H1detector in the year2000andcorrespond to an integrated luminosity of20.1pb−1.In this period,the energies of the HERA 1Note that in the case of heavy vector mesons,the relevant non-relativistic wavefunction,with equal sharing of the photon longitudinal momentum by the two heavy quarks,ensures that the amplitude for producing a longitu-dinally polarised meson vanishes.Only the chiral-odd amplitude,which is naturally present due to the non-zero quark mass,remains.Hence heavy vector mesons are expected to be transversely polarised,as confirmed by the experimental observations.2The two-gluon model predictions for the kinematic region considered here were provided by the authors of[9,10].The model differs from that proposed in[8]in the way the chiral-odd configurations are introduced.5proton and positron beams were920GeV and27.5GeV,respectively.The kinematic domain of the measurement is:Q2<0.01GeV275<W<95GeV1.5<|t|<10GeV2M Y<5GeV(2) where W is the photon-proton centre of mass energy and M Y is the mass of the proton remnant system.The relevant parts of the detector,for which more details can be found in[15],are the central tracking detector(which covers the polar angular range20◦<θ<160◦),the liquid argon (LAr)calorimeter(which covers the polar angular range4◦<θ<154◦)and an electron tagger located at44m from the interaction point,which detects the scattered positron at a small angle to the backward direction3.The44m electron tagger is a2×3array ofˇCerenkov crystal calorimeters used to select photoproduction events in the range Q2<0.01GeV2.The trigger system used in this analysis selects events with an energy deposit greater than10GeV in the 44m electron tagger,at least one charged track with a transverse momentum above400MeV in the central tracker and a reconstructed interaction vertex.Additionally,there is a veto on the amount of energy deposited in the forward region of the LAr.Events corresponding to reaction(1),in the kinematic range defined by relations(2),are se-lected by requesting:•the reconstruction of an energy deposit of more than15GeV in the44m electron tagger (the scattered positron candidate);•the reconstruction in the central tracking detector of the trajectories of exactly two oppo-sitely charged particles(pion candidates)with transverse momenta larger than150MeV and polar angles within20o<θ<155o.In order to ensure a well understood trigger efficiency,at least one track is required to have a transverse momentum above450MeV;•the absence of any localised energy deposit larger than400MeV in the LAr calorimeter which is not associated with either of the two reconstructed tracks.This cut reduces backgrounds due to the diffractive production of systems decaying into two charged and additional neutral particles.Further,it limits the mass of the proton dissociative system to M Y<∼5GeV which ensures that the events lie within the diffractive regime M Y≪W.Restricting the analysis to low values of M Y also reduces the uncertainties arising from the parametrisation of the M Y dependence of the cross section;•events in the mass range0.6<Mππ<1.1GeV and discarding events with M KK<1.04GeV,where Mππand M KK are the invariant masses of the two selected tracks when considered as pions or kaons respectively(no explicit hadron identification is performed for this analysis).The latter cut reduces the background due to diffractive production ofφmesons.3In the H1convention,the z axis is defined by the colliding beams,the forward direction being that of the outgoing proton beam and the backward direction that of the positron beam.Transverse and longitudinal momenta are defined with respect to the proton beam direction.6Thefinal sample consists of2628events.Further details of this analysis may be found in[16].3.2Kinematics and Helicity StructureThe three momentum of theρmeson is computed as the sum of the two charged pion candidate momenta.The variable W is reconstructed from theρmeson,rather than from the energy of the scattered positron candidate which is less precisely measured by the electron tagger,using the Jacquet-Blondel method[17]:W2≃2E p(Eρ−p z,ρ)(3) where E p is the energy of the incoming proton and Eρand p z,ρare the energy and longitudinal momentum of theρmeson,respectively.In the photoproduction regime,the variable t is well approximated by the negative transverse momentum squared of theρmeson,t≃−p2t,ρ.The measurement of the production and decay angular distributions provides information on the helicity structure of the interaction.Three angles are defined[18]as illustrated in Fig.1:Φis the angle between theρproduction plane(defined as the plane containing the virtual photon and theρmeson)and the positron scattering plane in theγp centre of mass system;θ∗is the polar angle of the positively charged decay pion in theρrest frame with respect to the meson direction as defined in theγp centre of mass frame andφ∗is its azimuthal angle relative to the ρproduction plane.In this paper,the distributions of the anglesφ∗andθ∗are analysed(the angleΦis not acces-sible in photoproduction)giving access to the spin density matrix elements r0400,Re[r0410]and r041−1[19].For aρmeson decaying into two pions,the normalised two-dimensional angular distribution[19],averaged overΦ,is1σd2σd cosθ∗dφ∗=34π 12(1−r0400)+12(3r0400−1)cos2θ∗−√ r0410 sin2θ∗cosφ∗−r041−1sin2θ∗cos2φ∗ .(4)Integrating over cosθ∗orφ∗further reduces this distribution to the one dimensional distributionsdσd cosθ∗∝1−r0400+(3r0400−1)cos2θ∗(5)anddσdφ∗∝1−2r041−1cos2φ∗.(6) The spin density matrix elements are defined as bilinear combinations of the helicity amplitudesMλγλV ,whereλγ,λV=−,0,+are the respective helicities of the photon and the vector me-son.For photoproduction,where the photon is quasi-real,the longitudinal photon polarisation component is negligible and only the transverse polarisation states remain.The photon-meson transitions can thus be described in terms of three independent helicity amplitudes M++,M+0,7M +−4,which correspond to no change in helicity (no-flip),a single change in helicity (single-flip)and a double change in helicity (double-flip),respectively.In this case,the matrix elements are related to the helicity amplitudes byr 0400=|M +0|2|M ++|2+|M +0|2+|M +−|2(7)r 0410=12M ++M ∗+0−M +−M ∗+0|M ++|2+|M +0|2+|M +−|2(8)r 041−1=12M ++M ∗+−+M +−M ∗++|M ++|2+|M +0|2+|M +−|2.(9)Under s -channel helicity conservation,only the amplitude M ++is non-zero and consequentlythe r 0400,r 0410and r 041−1matrix elements should all be zero.In contrast,both the BFKL and two-gluon models predict a violation of SCHC.In the case of the LL BFKL model,the helicity amplitudes are predicted to follow a hierarchical structure with |M ++|>|M +−|>|M +0|[9,10].3.3Monte Carlo SimulationA Monte Carlo simulation based on the DIFFVM program [20]is used to describe the diffrac-tive production and decay of ρmesons,and to correct the data for acceptance,efficiency and smearing effects.The Q 2and W dependences of the cross section are taken from previous mea-surements [21].The t dependence is taken according to the power law measured in the present analysis following an iterative procedure.The simulation includes the angular distributionscorresponding to the measurements of the present analysis for the r 0400,r 041−1and the Re [r 0410]matrix elements.The M Y spectrum is parameterised as d σ/d M 2Y ∝f (M 2Y )/M 2.15Y [22],wheref (M 2Y )=1for M 2Y >3.6GeV 2and,at lower masses,is a function which accounts for the production of excited nucleon states.Other angular distributions and correlations are taken in the s -channel helicity conservation approximation.The mass distribution is described by a rel-ativistic Breit-Wigner distribution,the mass and the width of the ρbeing fixed [23],including skewing effects resulting from the interference with open pion pair production [24,25]taken from the current analysis.For studies of systematics uncertainties,all simulation parameters have been varied within errors (see section 3.5).The DIFFVM simulation is also used for the description of the ω,φand ρ′backgrounds (see next section).Here the t distributions are described using the same parameterisation as for the ρmeson and the angular distributions are kept in the SCHC approximation,which is justified by the smallness of these contributions.All generated samples are passed through a detailed simulation of the detector response based on the GEANT3program [26],and through the same reconstruction software as used for the data.Figure 2presents the observed and simulated distributions for several variables of the se-lected sample of events.The simulated distributions,which include the amounts of background 4The three corresponding amplitudes M −−,M −0and M −+are not independent since they satisfy M ++=M −−,M +−=M −+and M +0=−M −0due to parity symmetry.8discussed in section3.4,are normalised to the number of observed events.Reasonable agree-ment is observed for all distributions,showing that the Monte-Carlo simulations can reliably be used to correct the data for acceptance and smearing effects.The structure in theφ∗distribution (Fig.2f)is due to the low geometrical acceptance of the central tracking detector in the case where the angle between theρmeson production and decay planes is small(φ∗∼0◦or180◦), which leads to the emission of one of the pions at a small angle relative to the beam direction.3.4BackgroundsDiffractive photoproduction ofω,φandρ′mesons5can fakeρproduction through the decay channels:ω→π+π−π0,φ→π+π−π0,φ→K0S K0L,ρ′→ρ±π∓π0,ρ±→π±π0,(10) if the decay photons of theπ0or the K0L mesons are not detected6.This happens in the cases where the energy of the neutral particle is deposited in an inactive region of the detector,is associated to the charged pion tracks,or is below the noise threshold.Diffractive photoproduc-tion ofωandφmesons also gives the same topology as that of theρmeson within the detector through the decay channelsω→π+π−,φ→K+K−.(11)To estimate the corresponding backgrounds,theω,φandρ′cross sections were taken from measured ratios to theρcross section in the Q2range relevant for the analysis:σω/σρ=0.106±0.019[27],σφ/σρ=0.156+0.029−0.019[3]andσ(ρ′→ρ±π∓π0)/σρ=0.2±0.1.In thelatter case,the ratio is obtained from the ratioσ(ρ′→ρ0π+π−)/σρ=0.10±0.05,measured in electron[28]and muon[29]scattering off a liquid hydrogen target,under the assumptionσ(ρ′→ρ+π−π0)+σ(ρ′→ρ−π+π0)σ(ρ′→ρ0π+π−)=2.(12)The background contributions in the selected kinematic domain(2)and for the selectedρmass range are estimated and subtracted separately for each measurement interval using the Monte Carlo simulations.In total,the backgrounds amount to0.5%,0.2%and1.2%forω,φandρ′production,respectively.5The detailed structure[23]of theρ′state is not relevant for the present study.The nameρ′is,therefore,used to represent both theρ′(1450)and theρ′(1700).In the DIFFVM simulation,theρ′mass and width are taken as 1450MeV and300MeV,respectively.6The contribution from background processes leading to more than two charged particles in thefinal state is negligible.93.5Systematic UncertaintiesThe systematic uncertainties on the measurements are estimated by varying the event selection, the parameters of theρMonte Carlo simulation and the properties of subtracted backgrounds. The following sources of systematic error are taken into account:•Uncertainties in theρsimulationThe uncertainty on the input t distribution,used to compute acceptances and smearing ef-fects and to adjust the measurements to the mean t value for each t interval,is taken into account by varying the exponent of the Monte Carlo power law by±0.5.The uncertainty in the modelling of the dissociative proton system Y is estimated by reweighting the pro-ton remnant mass distribution by factors(1/M2Y)±0.3[22].For the angular distributions, the spin density matrix elements are varied around the values measured in the current data according to the spread of the observed results with t by±0.03for r0400,±0.02forRe[r0410]and+0.02−0.04for r041−1.Finally,in the low|t|region where non-zero skewing is ob-served in theρline shape,the skewing parameter is varied according to the uncertainty of thefit to the invariant mass distribution(see section4).•Uncertainties on the background distributionsThe amount of background is varied by changing the ratio of the background cross sec-tions to theρcross section according to their uncertainties,as quoted in section3.4.The t dependence of theρ′distribution,which provides the largest background contribution, is further varied using weighting factors of(1/|t|)±2.0.•Uncertainties in the detector descriptionUncertainties on the detailed p t and angular dependences of the trigger efficiencies are taken into account by varying them within their estimated errors.The uncertainty on the tracking acceptance at large angles is estimated by varying the cut on the polar angle of the reconstructed tracks between150◦and160◦.The threshold for the detection of energy deposits in the LAr that are not associated to the two pion candidates is varied between 300MeV and500MeV.Finally,the influence of the uncertainty in the description of the electron tagger acceptance is estimated by shifting the acceptance range in W by3%.For the measurement of the t dependence,the largest sources of systematic uncertainty are the slope of the t distribution in the MC,the variation of the LAr energy threshold and the variation of the upperθcut.Additionally,for the measurement of the spin density matrix elements, the parameterisation of the matrix elements in the MC provides a significant effect.For each contribution,the relative effect on the extracted t slope is less than±1%,and the effect on the measured spin density matrix elements is less than±0.015.The total systematic error on the cross section is obtained by adding the individual contribu-tions,which are considered as uncorrelated,in quadrature.Correlated systematics which affect only the normalisation cancel since only normalised cross sections are presented here.For the extraction of the t slope and the spin density matrix elements,the systematic error is obtained by repeating the appropriatefit after shifting the data points according to each individual sys-tematic uncertainty.Again,the individual contributions are added in quadrature.10。
a r X i v :h e p -e x /0510064v 2 1 D e c 2006Study of K −→π0e −νγdecay at ISTRA+setup are presented.4476events of this decay have been observed.The branching ratio (R)is found to be R =Br (K −→π0e −Br (K −→π0e −νe γ)νe )=(0.47±0.02(stat )±0.03(syst ))·10−2.For the cuts E ∗(γ)>30MeV and θ∗eγ>20◦,used in most theoretical papers Br =(3.06±0.09±0.14)·10−4.For the asymmetry A ξ(for the same cuts as in Table.2)we get A ξ=−0.015±0.021.At present time it is the best estimate of this asymmetry.%newpage1IntroductionThe decay K −→π0e −νγdecay amplitudes are calculated at order ChPTO (p 4)in [1],and branching ratios are evaluated in [3].Recently next-to-leading O (p 6)corrections were calculated for the corresponding neutral kaon decay [4].The matrix element for K −→π0e√u (p ν)γν(1−γ5)v (p l )(1)+F νu (p ν)γν(1−γ5)(m l −p l −q )γµv (p l )≡ǫµA µ.First term of the matrix element describes Bremsstrahlung of kaon and direct emis-sion(Fig.1a).The lepton Bremsstrahlung is presented by second term in r.h.s.of Eq(1)and (Fig.1b).The K−→π0eνγdecay defined as1ξπeγ=(3)N++N−Where N+and N−are number of events withξ>0andξ<0T-odd correlation vanishes at tree level of SM[10],but the SUSY theory gives rise to CP-odd(T-odd)observables already at tree level[11,12,13].T-odd asymmetry value for SU(2)L×SU(2)R×U(1)model and scalar models was estimated in Ref[14].In this letter we presentfirst results of the analysis of the K−→π0eThe decay products are deflected by the spectrometer magnet M2with thefield in-tegral of1Tm.The track measurement is performed by1-mm-step proportional cham-bers(P C1÷P C3),2-cm-cell drift chambers(DC1÷DC3),and by four planes of the 2-cm-diameter drift tubes DT.The photons are measured by lead-glass electromagneticcalorimeter SP1which consists of576counters.The counter transverse size is5.2×5.2cmand length is about15X0.To veto low energy photons the decay volume is surroundedby eight lead-glass rings.Lead-glass electromagnetic calorimeter SP2is also used as apart of the veto system.3Event selectionDuring physics run in November-December2001350M events were logged on tapes.Thisinformation is complemented by260M events generated with Geant3[16].The MonteCarlo simulation includes a realistic description of the experimental setup:the decay volume entrance windows,the track chamber windows,gas mixtures,sense wires and cathode structures,Cherenkov counters mirrors and gas mixtures,the showers develop-ment in the electromagnetic calorimeters,etc.The detailed discussion of the simulation and reconstruction procedure is given in our previous publications[17,18].Events with one negative track detected in tracking system and four showers detectedin electoromagnetic calorimeter SP1are selected as candidates for K−→π0eνγdecay. One of this showers must be associated with the charged track.Events with vertex inside interval400<z<1650cm,and transverse radius less than10cm is selected for further analysis.The probability of the vertexfit,CL(χ2),is required to be more than10−4.Absenceof signals in veto system above noise threshold is required.The electron identification is done using E/P ratio of the energy of the cluster asso-ciated with the track to momentum of this track given by tracking system.This ratio must be inside interval0.80-1.15(see Fig.3).Another cut used for the suppression of the π−contamination is that on the distance between the charged track extrapolation to the front plane of the electoromagnetic detector and the nearest shower.This distance must be less than2,5cm.The effective mass m(γγ)within±30MeV fromπ0table mass(Fig.4)is required.At the end,the convergence of the2C K−→π0e−νeγare:(1)K−→π−π0π0where one of theπ0photons is not detected andπ−decays to eνor is misidentified as an electron.Figure2:The side view of the ISTRA+detector05001000150020002500300035004000450000.20.40.60.811.2 1.4 1.6 1.82E/p ratioe n t r i e s p e r 0.02cut cutFigure 3:E/P ratio for the real data.Dot-ted line is our fit of background.1000200030004000500000.050.10.150.20.25m γγe n t r i e s p e r 0.001cut cutFigure 4:γγmass for the real data.(2)K −→π−π0with “fake photon”and π−decayed or misidentified as electron.Fake photon clusters can come from π-hadron interaction in the detector,external bremsstrahlung upstream of the magnet,accidentals.All these sources are included in our MC calcula-tions.(3)K −→π0eνwith extra photon.The main source of extra photons is an electron interactions in the detector.(4)K −→π−π0γwhen π−decays or is mis-identified as an electron.(5)K −→π0π0eνwhen one γis lostFrom Fig.3it is seen that in raw data background contamination from channels with charged pion in final state is about 15%.Requirement on the missing energy in the decay reduces mainly background chan-nel(4).Cut1:E miss >0.5GeVFor the suppression of the background channels (1-5)we use a cut on the missing mass squaredM 2(π0eγ)=(P K −P π0−P e −P γ)2.For the signal events this variable corresponds to the square of the neutrino mass and must be zero within measurement accuracy (see Fig.5).Cut2:−0.01<M 2(π0e −γ)<0.01For the suppression of the background channel(1)we also use a cut on the missing mass squared M 2(π−π0)=(P K −P π−−P π0)2For the background(1)events this variable corresponds to π0mass,for the signal events distribution of this variable is rather wide (see Fig.6).Cut3:The events with 0.009<M 2(π−π0)<0.024are cutted out.The dominant background to K e 3γarises from K e 3with extra photon.The back-ground (3)is suppressed by requirement on the angle between electron and photon in the laboratory frame θeγ(see Fig.7)The distribution of the K e 3-background events has5001000150020002500-0.05-0.04-0.03-0.02-0.0100.010.020.030.040.05M 2(πe γ) GeV 2e n t r i e s p e r 0.001cut cuta)20406080100-0.05-0.04-0.03-0.02-0.0100.010.020.030.040.05M 2(πe γ) GeV2e n t r i e s p e r 0.005cut cutb)Figure 5:Missing mass M 2(π0e −γ)distribution;a)for the real data b)for the backgroundchannel(1).50010001500200025003000-0.1-0.08-0.06-0.04-0.0200.020.040.060.080.1M 2(π-π0) GeV 2e n t r i e s p e r 0.001cutcuta)50100150200250300-0.1-0.08-0.06-0.04-0.0200.020.040.060.080.1M 2(π-π0) GeV2e n t r i e s p e r 0.001cut cutb)Figure 6:missing mass distribution M 2(π−π0)a)for real data;b)for the background (1)10310400.0050.010.0150.020.0250.03θe γe n t r i e s p e r 0.0005a)cut 101010θe γe n t r i e s p e r 0.0005Figure 7:Distribution over θeγ-the angle between electron and photon in lab.system.a)real data;b)MC background (histogram)and signal(points with errors)CutbackgroundNumber of events selected329013742810035−0.01<M 2(π0e −γ)<0.01252872329371530.002<θeγ<0.0301603R exp×102experiment14568219213νeγ)/Br(K−→π0e−50100150200250300350400E *γ, GeVe n t r i e s p e r 0.05Figure 9:The distribution of the events over E ∗γ-the energy of the photon in the kaon rest frame.Histogram corresponds to the data,points with errors-total signal plus background MC.To obtain the branching ratio of the K π0e −νe γ)νe )=(1.81±0.03(stat )±0.07(syst ))·10−2(4)for E ∗γ>10MeV and θ∗eγ>10◦.Systematic errors are estimated by variation of the cuts of Table 1.For comparison with previous experiment the branching ratio with cuts E ∗γ>10MeV,0.6<cosθ∗eγ<0.9is calculatedR =Br (K −→π0e −Br (K −→π0e −νe γ)νe )=(0.64±0.02(stat )±0.03(syst ))·10−2.(6)Using PDG value for K e 3decay branching for K −→π0e −νe γ)|<0.8·10−4in the SU (2)L ×SU (2)R ×U (1)model[14]and A ξ=−0.59·10−4in the Standard Model[10]The authors would like to thank D.S.Gorbunov,V.A.Matveev and V.A.Rubakov,for numerous discussions.V.V.Braguta,A.A.Likhoded,A.E.Chalov for program of matrix element calculation.The work is supported in part by the RFBR grants N03-02-16330 (IHEP group)and N03-02-16135(INR group)and by Russian Science Support Founda-tion(INR group).References[1]J.Bijnens,G.Echer and J.Gasser,Nucl.Phys.B396(1993)81;[2]A.Pitch,Rep.Prog.Phys.58(1995)563;[3]L.Maiani,G.Pancheri and N.Paver,The Second DAFNE Physics Handbook,(INFN-LNF-Divisione Ricerca,SIS-Ufficio Pubblicazioni,Frascati(Roma)Italy,ISBN88-86409-02-8).[4]J.Gasser et.al.,arXiv:hep-ph/0412130[5]N.Cabibo Phys.Rev.Lett10(1963)531[6]M.Kobayashi,T.Maskawa Progr.Theor.Phys.49(1973)652.[7]C.Jarlskog Z.Phys.C29(1985)491.[8]G.F.Farrar and M.E.Shaposhnikov,Phys.Rev.Lett70(1993)2833[Erratum ibid71(1993)210][arXiv:hep-ph/9305274];P.Het and Sather,Phys.Rev D51(1995)379 [arXiv:hep-ph/9404302];M.Carena,M.Quiros and C.E.Wagner,Phys.Lett.B380(1996)81[arXiv:hep-ph/9303420][9]J.Gevas,J.Iliopolus,J.Kaplan Phys.Lett.20(1966)432.[10]V.V.Braguta, A.A.Likhoded, A.E.Chalov,Phys.Rev.D65(2002)054038[arXiv:hep-ph/0106147][11]Y.Kuzuruki Phys.Lett.,B193(1987)339.[12]A.Bartl,T.Kernreiter and W.Porod Phys Lett.,B538(2002)59.[13]N.Oshimo Mod.Phys.Lett.A4(1989)145.[14]V.V.Braguta, A.A.Likhoded, A.E.Chalov Phys.Atom.Nucl.67:1003-1009,2004,Yad.Fiz.67:1025-1032,2004[arXiv:hep-ph/0305067][15]V.N.Bolotov et.al.,IHEP preprint8-98,1998.[16]R.Brun et al.,Preprint CERN-DD/EE/84-1.[17]I.V.Ajinenko et al.,Yad.Fiz65(2002)2125;I.V.Ajinenko et al.,Phys.At.Nucl.,66(2003)2064I.V.Ajinenko et al.,Phys Lett.,B574(2003)14.O.P.Yuschenko et al.,Phys Lett.,B589(2004)111.[18]I.V.Ajinenko et al.,Yad.Fiz66(2003)107;I.V.Ajinenko et al.,Phys.At.Nucl.,66(2003)105O.P.Yuschenko et al.,Phys Lett.,B581(2004)159.[19]V.V.Barmin et.al.,SJNP55(1991)547,53(1991)976.[20]V.N.Bolotov et.al.,JETPL42(1985)481,Yad.Fiz44(1986)108.[21]F.Romano et.al.,Phys Lett.,36B(1971)525.5001000150020002500e n t r i e s p e r 0.001cut cuta)20406080100e n t r i e s p e r 0.005cut cut b)50010001500200025003000e n t r i e s p e r 0.001cutcut a)50100150200250300e n t r i e s p e r 0.001cut cutb)。
University of Hamburg, Institute of Mineralogy and PetrologyRaman and IR spectroscopy in materials science.Symmetry analysis of normal phonon modesBoriana MihailovaOutline1. The dynamics of atoms in crystals. Phonons2. Raman and IR spectroscopy :most commonly used methods to study atomic dynamics3. Group theory analysis :phonon modes allowed to be observed in IR and Raman spectra6, hexagonalKLiSO4a mode involving SO4translations and Li motions vs K atomscrystals :Harmonic oscillatorψψ2diatomic chainq) q)qachain in 1Dqachain in 3Delectromagnetic waveanti-Stokes Stokesdifferent interaction phenomena different selection rules !IR activityIsolated TOThree techniques of selection rule determination at the Brillouinor input, then clickCa: (6b) 0 0 0C : (6a) 0 0 0.25 O : (18e) 0.25682 0 0.25Calcitenumber of operation of each classPoint group normal modessymmetry operationscharactersselection rulesIR-activeμz≠0μx, μy≠0rotation (inactive)Ca: (6b) :C : (6a) :O : (18a) :A1u+ A2u+ 2E uA2g+ A2u+ E g+ E uA1g+ A1u+ 2A2g+ 2A2u+ 3E g+ 3E u+ acoustic(N= 6:3 +6:3+18:3 = 10) Total: 10A + 10E = 30 3N= 30Γopt= A1g(R) + 2A1u(ina) + 3A2g(ina) + 3A2u(IR)+ 4E g(R) + 5E u(IR) 5 Raman peaks and 8 IR peaks are expected(xz,yz)Raman-activeαxx= -αyy≠αxynon-zero componentsαxz≠αyzαxx= αyy≠αzzacoustic: A2u+E u(the heaviest atom)4 5213Solution:chemical B-site disorderBOstretching6A 1gE gxy T 2g T 2g T 1uInfrared transmissioncubicnon-cubicLO-TO splitting: sensitive to local polarization fields induced by point defectsBi12SiO20:XRaman shift / cm-10.0940.4760.899×1018cm-3undoped Raman shift / cm-1different types of atoms in the same crystallogr. position,mf =ωT > T CGroup theory:predicts the number of expected IR and Raman peaksone needs to know: crystal space symmetry + occupied Wyckoff positions Deviations from the predictions of the group -theory analysis:•☺LO-TO splitting if no centre of inversion (info included in the tables)•☺one-mode –two-mode behaviour in solid solutions•☺☺☺local structural distortions (length scale ~ 2-3 nm, time scale ~ 10-12s)• Experimental difficulties (low-intensity peaks, hardly resolved peaks)ConclusionsWhat should we do before performing a Raman or IR experiment?。
Photoinduced Electron TransferReactions: A Fascinating World of PhotophysicsIn everyday life, we often encounter a variety of chemical reactions from simple combustion to complex metabolic processes. However, some of the most interesting reactions that take place in nature are the photoinduced electron transfer (PET) reactions. PET reactions have been the subject of research for many years, and they continue to intrigue chemists, physicists, and biologist alike. In this article, we delve deeper into this fascinating world of photophysics.What are PET Reactions?In essence, photoinduced electron transfer reactions are a type of chemical reaction where an electron is transferred from one molecule to another upon absorption of light. In other words, PET reactions involve the transfer of an electron from an excited state to a ground state molecule. These types of reactions are widely prevalent in nature and are involved in several critical biological processes, including photosynthesis and cellular respiration.How Do PET Reactions Work?The process of a PET reaction can be thought of as a two-step process. In the first step, a photon is absorbed by a molecule, which excites it to a higher energy state. This step is known as photoexcitation. In the second step, the excited molecule interacts with another molecule, which accepts the excited-state electron. This step is known as electron transfer. The end result of a PET reaction is the creation of two new molecules, one of which has an extra electron that it did not possess before the reaction took place.Key Features of PET ReactionsPET reactions are essential for a wide range of biological and chemical processes. Some of the notable features of these reactions include:1. Efficient Energy Transfer: PET is an efficient way to transfer energy between molecules. By transferring energy via electron transfer, the energy is transferred with almost 100% efficiency.2. Selectivity: PET reactions can occur selectively between specific pairs of molecules. This selectivity makes them useful tools for chemical synthesis.3. Sensitivity to Environment: The rate and efficiency of a PET reaction can be influenced by the environment in which the reaction occurs, including temperature, solvent, and concentrations of the reactants.Applications ofPET reactions have broad applications in chemical, biological, and environmental sciences. Here are some of the important applications of PET reactions:1. Solar Energy Conversion: PET reactions play a crucial role in solar energy conversion. In photovoltaic devices, PET reactions are utilized to convert light energy into electrical energy.2. Sensing: PET reactions can be used to sense various biological molecules and environmental pollutants. For example, PET-based sensors are used to detect glucose levels in diabetic patients.3. Chemical Synthesis: PET reactions provide an efficient way to synthesize complex organic molecules. The selectivity and sensitivity of these reactions make them useful in developing new drugs, materials, and catalysts.Future of PET ReactionsPET reactions continue to be a subject of intense research in several scientific fields. Advances in experimental and computational techniques have shed more light on the fundamental mechanisms of these reactions. In the future, the use of photoinducedelectron transfer reactions is expected to expand further into new areas of application, including optoelectronics and nanotechnology.ConclusionIn conclusion, photoinduced electron transfer reactions represent a fascinating world of photophysics. These reactions play a crucial role in several natural processes, ranging from photosynthesis to cellular respiration. Furthermore, they have broad applications in various scientific fields, including solar energy conversion, sensing, and chemical synthesis. With their selectivity, efficiency, and sensitivity to the environment, PET reactions are poised to play an ever-more significant role in future scientific research and technology.。
论文题目(英文题目要译成中文)期刊名倾斜极化磁多层膜的铁磁共振理论Phys. Rev. B Rapid response mechanism of pi cell(Pi 盒的快速响应机制)Appl. Phys. Lett.Response times in Pi-cell liquidcrystal displaysLiq. Cryst.弱锚定垂面排列液晶显示器的响应时间液晶与显示栅状表面液晶盒的光学属性计算物理中文图形12864点阵液晶显示模块与51单片机的并行接口电路及C51程序设计现代显示Monte Carlo 模拟空间各向异性势向列相液晶微滴计算物理基于修正Gruhn-Hess 两体势模型的内禀锚定研究Physics letters. A基于分级模型的钾离子通道选择性通透机制的研究IEEE 会议论文考虑视轴方向的个性化眼模型的构建光学学报基于个性化模型的人眼色差对视功能影响的研究光子学报The study of wavelength-dependentwavefront aberrations based onindividual eye model (基于个性化眼模型的人眼波像差随波长变化的研究)Optik 基于个体眼光学结构的角膜与晶状体的像差补偿研究光学学报The lower-valence coexistingferrimagnetic Cr2VX (X=Ga, Si, Ge,Sb) Heusler compounds: A first-principles study低价共存的赫斯勒合金Cr2VX(X=Ga, Si, Ge, Sb)的第一性原理研究Ab initio investigation of half-metalstate in 钾通道的结构:钾离子传导和选择性的分子基础《科学》杂志精选论文基于离子通道选择性的水合碱金属阳离子结构的研究中国物理快报Physica BScripta Materialiazinc-blende MnSn and MnC闪锌矿结构的MnSn和MnC的半金属态的从头计算研究用临界点附近的涨落讨论Landau相变理论的适用范围河北工业大学学报“建设国家级实验教学示范中心的探索与实践”《全国高等学校物理基础课程教育学术研讨会论文集》坚持创新教育实验教学理念建设物理实验教学示范中心《第五届全国高等学校物理实验教学研讨会论文集》创建国家级实验教学示范中心及其辐射示范作用的研究与实践《实验技术与管理》大学生自主创新教育应适应社会需求性与尊重学生选择性《第五届全国高等学校物理实验教学研讨会论文集》坚持创新教育实验教学理念建设物理实验教学示范中心《物理实验》(特刊)《关于如何提高基础物理实验课质量的探讨》《科学时代》带电粒子致细胞失活的理论模型中国原子能科学研究院年报2007Two-photon spectroscopic behaviorsand photodynamic effect on the BEL-7402 cancer cells of the newchlorophyll photosensitizer《中国科学》(一种新型叶绿素光敏剂的双光子光谱特性B 辑及其对BEL-7402肝癌细胞的双光子光动力效应)(英文版)Tunneling effect of two horizons froma Gibbons-Maeda black holeChinese Physics LettersTunneling Effect from a Non-static Black Hole with the Internal GlobalMonopole International Journal of TheoreticalPhysicsTunneling effect of two horizons from a Reissner-Nordstrom black hole International Journal of TheoreticalPhysics用新乌龟坐标计算任意直线加速带电黑洞的熵北京师范大学学报自然科学版液晶与显示Physica BTheoretical Models of Cell Inactivation by Ionizing Particles(带电粒子致细胞失活的理论模型)Annual Report of China Institute of Atomic Energy 2007片剂硬度测试仪的液晶显示界面设计克尔黑洞的内视界隧道效应北京师范大学学报自然科学版Order Parameter of theAntiferroelectric Phase Transition ofLead Zirconate,Ferroelectric LettersSymmetry of the AntiferroelectricLead ZirconateFerroelectric LettersInvestigation of Ferroelectric PhaseTransition of Rochelle SaltFerroelectrics 锆酸铅的反铁电相对称性研究人工晶体学报方硼盐本征铁电相变的研究河北工业大学学报The synchronization ofFitzHugh--Nagumo neuronnetwork coupled by gapjunctionChinese Physics BStudy of intrinsic anchoring in nematicliquid crystals based on modifiedGruhn-hess pair potential(基于修正的Gruhn-hess两体势研究向列相液晶的内禀锚定)Phys. Lett. AThe Electrod Effect in LCD Cell(LCD盒中的电极效应)电子器件聚合物稳定向列相液晶显示的上升时间常数现代显示全Heusler 合金Cr2MnAl的第一性原理研究Appl. Phys. Lett.大范围Mn掺杂Heusler-型 Cr3Al的半金属化合物的理论设计J. Appl. Phys.局域键近似下的固体材料热驱动下的弹性软化J. Phys. D: Appl. Phys. Heusler 相 Co2YBi 和半-Heusler 相CoYBi (Y=Mn, Cr)的带结构计算J. Magn. Magn. Mater含时外势作用下玻色-爱因斯坦凝聚的非自治孤子自旋极化电流导致的铁磁金属多层膜中的铁磁共振J. Appl. Phys.“液晶显示器件物理专业方向”的实验设置实验技术与管理混合排列向列相边缘场效应电光特性的模拟计算现代显示Opt. Commun.个性化视觉矫正中人眼波前像差测量数据的修正研究Photonics and Optoelectronics MeetingsDynamical Model of P53-Mdm2-P14/19ARF Network to Radiation inPopulation of Cells 电离辐射作用下多细胞P53-Mdm2-P14/19ARF 网络动力学模型机械波的半波损失条件问题探析河北工业大学成人教育学院学报地方工科高校大学物理课程建设的探索与实践2009年全国高等学校物理基础课程教育学术研讨会论文集A death-survival switch in cell: cross talk between Akt and p53International Conference on Bioinformatics and Biomedical EngineeringModeling of ATM accumulation and ATM-mediated oscillation of p53International Conference on Bioinformatics and Biomedical EngineeringFunctions of oligochitosan inducedprotein kinase in tobacco mosaic virusresistance and pathogenesis related proteins in tobacco (壳寡糖诱导蛋白激酶在烟草对烟草花叶病毒抗性和病理相关蛋白中的作用)Plant Physiology and Biochemistry Neutrino Oscillation in the Space-Time with a Global Monopole 有拓扑缺陷时空的中微子振荡Thermodynamics Properties of theInner Horizon of a Kerr-Newman Black Hole K-N 黑洞的内视界的热性质Tunneling Effect of Two Horizonsfrom a Reissner-Nordstrom Black Hole R-N 黑洞的双视界的隧穿效应太赫兹波在空芯椭圆波导中的传播特性Photonics and Optoelectronics Meetings (POEM) 2008:TerahertzScience and Technology自旋波背景下单轴各向异性铁磁中磁振子密度的新特性Ann. Phys. (New York)BIC-TA2009International Journal of TheoreticalPhysicsInternational Journal of Theoretical Physics International Journal of TheoreticalPhysicsNeutrino oscillationinterference phase in Kerrspace--time克尔时空的中微子振荡干涉相位指形场驱动垂面排列模式的响应机制,Liq. Cryst.,两块栅状表面基板构成的向列相液晶盒的阈值属性Chinese Physics B 挠曲电效应对向列相液晶盒电光效应的影响计算物理双轴向列相液晶在沟槽表面的弹性形变和稳定性Liquid Crystals用光学导波方法区分液晶盒中的预倾角与弱锚定现代显示栅状表面液晶盒的光学特性现代显示平面和高斯光束的非线性吸收系数β的微分分析Photonics and OptoelectronicsMeetingsModel for influences of magneticfields on intracellular calcium oscillations(磁场对细胞内钙振荡影响的理论研究)Commun. Theor. Phys.液晶与显示Chinese Physics B太赫兹波在空芯椭圆波导中的传播特性Photonics and Optoelectronics Meetings (POEM) 2008:Terahertz Science and Technology平行排列向列相液晶的导波研究太赫兹波在空芯镀不同介质膜圆波导中的传播特性Photonics and Optoelectronics Meetings (POEM) 2008:Terahertz Science and TechnologyStability Control System for Four-In-Wheel-Motor Drive Electric Vehicle.The Sixth International Conference onFuzzy Systems and Knowledge Discovery, Tianjin, China, 14–16August ,2009.Propagation characteristics of THzradiation in hollow ellipticalwaveguide Pro. of SPIE光电混合机器人视觉系统中光寻址空间光调制器的噪声处理光子学报A First Principles study on the fullHeusler Compond Compond利用慢度曲面研究晶体的纯模轴人工晶体学报演化网络的拓扑结构河北工业大学学报帐篷映射归宿的完整性探析天津师范大学学报用二进制讨论面包师变换的动力学特性河北工业大学学报克尔-纽曼时空的中微子振荡Class. Quantum Grav.史瓦西-德西特是空的中微子振荡干涉相位Commun. Theor. Phys.Quantitative deviation of the two-photon absorption coefficient based onthree pulse model Chinese Optics LettersTwo-photon absorption coefficientdeviation from the application of laserultra-short pulse models Chinese Physics lettersTwo-photon absorption coefficient inrelation to the typical pulse models oflaser Optics CommunicationsAppl. Phys. Lett.MnAlCr 2MnAl Cr 2罗伯特-沃克度规的中微子振荡和振荡长度的宇宙学蓝移Int J Theor Phys Domain-wall solutions of spinor Bose-Einstein condensates in an opticallattice,Phys. Rev. ANonautonomous bright and darksolitons of Bose-Einstein condensateswith Feshbach- managed time-dependent scattering lengthOpt. Commun.Formation of combined solitons intwo-component Bose-Einsteincondensates Chin. Phys. BBright and Dark Soliton Solutions inGrowing Bose-Einstein CondensatesChin. Phys. B 基于三种激光脉冲模型的双光子吸收系数偏离量研究CHINESE OPTICS LETTERS 扭曲向列相液晶显示器中的响应时间现代显示基于128_64点阵液晶显示的智能温度控制器的设计与实现实验室科学基于TRIZ 原理的航空用毛巾卷圈机折卷部件创新设计机械设计液晶全漏导模的实验研究物理实验温度对向列相液晶阈值电压的影响现代显示FlexoelectricEffectinaHAN-IPSCell Grey Solitons and Soliton interactionof Higher Nonlinear SchrödingerEquation Can. J. Phys.Screw-pitch effect and velocityoscillationof a domain wall in aferromagnetic nanowire driven byspin- polarized current J.Phys.: Condens. MatterTwo-photon absorption coefficient inrelation to the typical pulse models oflaser与若干激光典型超短脉冲模型相关的双光子吸收系数Quantitative deviation of two-photonabsorption coefficient based on threelaser pulse models基于三种激光脉冲模型的双光子吸收系数之间的量化差别Approach dealing with the pulseprofile of pump laser in Z-scanJournal of Optics Z-扫描中处理泵浦激光脉冲时域结构的一种方法曾用名:Journal of Optics A :Pure and Applied Optics双面高斯形刻槽金属纳米光栅表面等离子体传感芯片设计IEEE,Photonics and OptoelectronicA first-principles study onthelower-valencecoexisting Cr2TiX (X ¼ Al,Ga,Si, Ge, Sn,Sb) HeusleralloysJournal of Magnetism and Magnetic Materials 基于修正的Gruhn-Hess 两体势模型研究弯曲形变向列相液晶盒计算物理表面沟槽诱导双轴向列相液晶的弹性畸变液晶与显示LCD 点状缺陷分析与研究现代显示温度对向列相液晶阈值电压的影响现代显示离子与通道相互作用对NaK 通道通透特性影响的研究物理学报Extracelluar Potassium ions Play Important Roles in the Selectivity of Mutant KcsA Channel 2011 4th International Conference on Biomedical Enginerrint andInformaticsFlexibility Between the Linker of theCD and G-Loops Determines the Gating Dynamics of Hte Kir2.1ChannelBiophysical Journal Direct or Indirect Regulation ofCalcium-Activated Chloride Channel by CalciumJ Membrane Biol.离子与通道相互作用对NaK 通道通透特性影响的研究物理学报Characteristics and molecular basis ofcelecoxib modulation on Kv7potassium channelsBr. J. Pharmacol.Direct or Indirect Regulation ofCalcium-Activated Chloride Chinese Optics Letters Optics CommunicationsThe Journal of Membrane BiologyChannel by CalciumFabrication of subwavelength metallic structures using laserinterference lithographyPhotonics and Optoelectronics,IEEEENonautonomous helical motion ofmagnetization in ferromagneticnanowire driven by spin-polarizedcurrent and magnetic fieldEur. Phys. J. BMatter rogue wave in Bose-Einsteincondensates with attractive atomicinteractionEur. Phys. J. DNeutrino Oscillations in the de Sitterand the Anti-de Sitter Space-Timethe Anti-de Sitter Space-TimeSpin-Rotation Coupling in theTeleparallelism Description in HighSpeed Rotation SystemInt J Theor PhysA TETRAD DESCRIPTION ONTHE DIRACSPIN-ROTATION EFFECTOCB模式液晶器件的优化液晶与显示A high-transmittance verticalalignment liquid crystal display usinga fringe and in-plane electrical fieldLiquid CrystalsFast-response vertical alignmentliquid crystal display driven by in-plane switching, Liquid CrystalLiquid Crystals Low voltage and high transmittanceblue-phase LCDs with double-side in-plane switching electrodesLiquid CrystalsThe Journal of Membrane BiologyPhase diagram of magneticmultilayers with tilted dual spintorques J. Appl. Phys.Combined periodic wave and solitarywave solutions in two-componentBose-Einstein condensatesChin. Phys. BInt J Theor PhysInternational Journal of ModernPhysics D混和排列向列相液晶盒中挠曲电效应引起的电压漂移Commun. Theor. Phys.指导教师负责制的资助选课教学模式河北工业大学学报-社会科学版栅状基板表面几何参数对向列相液晶盒指向矢的影响Commun. Theor. Phys.液晶全漏导模透射率的实验研究大学物理实验离子与通道相互作用对NaK 通道通透特性影响的研究物理学报Extracelluar Potassium ions Play Important Roles in the Selectivity of Mutant KcsA Channel 2011 4th International Conference on Biomedical Enginerrint andInformaticsThe Difference Analysis of Nonlinear Absorption Coefficient β in the Beam Sections of Plain and Gaussian Distribution Nonlinear AbsorptionCoefficient βin the Beam Sections of Plain andGaussian DistributionEffects of Magnetic Fields on the Synchronization of Calcium Oscillations in Coupled Cells Journal of Computational and Theoretical NanoscienceOptimal design of hollow elliptical waveguide for THz radiationJournal of Physics: Conference Series,2011,Volume:276,No.1012229Approach dealing with the pulse profile of pump laser in Z-scantechniqueJournal of Physics: Conference Series,2011,Volume:276,No.1012229Propagation characteristics of THz radiation in hollow rectangle metalwaveguideJournal of Physics: Conference Series,2011,Volume:276,No.1012229ProcSPIE,作者(名次)时间李再东2008孙玉宝,马红梅,张志东3月孙玉宝(2)7月马红梅,王娜红,孙玉宝2月叶文江2008.9李志广2008.7第1张艳君2008.52张艳君2008安海龙(2)May-08刘铭1Feb-08刘铭1Aug-08刘铭1Jun-08刘铭1Aug-08安海龙(1)李佳120082008-3-1安海龙(1)Nov-08李佳12008王双进(第一作者)2008.1魏怀鹏(排名1)、李再东、安莉、张志东、展永,2008.7魏怀鹏(排名1)、张志东、展永2008.1魏怀鹏(排名1)、张志东、展永2008.11,温春东,魏怀鹏(排名2),段雪松,孔祥明,丁军锋,甄芳芳2008.1魏怀鹏(排名1)、张志东、展永2008.11魏怀鹏第一作者2008.4曹 天光1Jun-08ZHAO PeiDe et al第一作者(论文通讯联系人)任军12008.5任军12008.3任军1Jul-08任军12008年2月淮俊霞(第一作者)李佳120082008.6曹 天光1Jun-08Jun-08任军12008年10月周国香12008周国香12008周国香12008周国香12008周国香12008展永12008张志东,张艳君2008.1张志东,赵金良2008.1刘丽媛(学生),刘艳玲(学生),张志东2008.9盖翠丽甄晓玲王纪刚张志东李佳(1)2009李佳(1)2009李佳(1)2009李佳(1)2009李再东第二(通信作者)李再东第二2009张志东,范志新20092008.72008.6李再东第三(通信作者)刘铭(1)2009.03柳辉(1)2009.3柳辉(2)2009.7.Liu Hui (4)2009.7Liu Hui (4)2009.6Liu Hui (8)2009.8刘铭(5)2009任军(第一作者)2009年8月2009.03Liu Hui (1)2009.1任军(第一作者)2009年2月任军(第一作者)2009年7月马红梅,孙玉宝9月叶文江12009.1叶文江12009.1叶文江22009.8叶文江12009.3叶文江22009.11张勇(2)2009.03张玉红(第一)2009叶文江2任军(第一作者)Dec-092009.12张勇(1)2009.032009.03张勇(2)张玉红(第二)2009赵培德第一作者2010通讯联系人第一期赵培德第七2009赵培德第一作者通讯联系人赵培德第二作者通讯联系人周国香第二2009,1周国香第二2009,10周国香第二2009,6周国香第三2009,7周国香第三2009,8任军(1)2010年3月任军(1)2010年4月20092009周国香第三2009,5任军(1)2010年9月李再东,李秋艳,贺鹏斌,梁九卿,刘伍明,傅广生2010李秋艳,李再东,李录,傅广生2010李秋艳,李再东(*),姚淑芳,李录,傅广生2010李秋艳,李再东,贺鹏斌,宋伟为,傅广生。
ar X i v :h e p -p h /9509373v 1 22 S e p 1995Groupe d’AnnecyLaboratoired’Annecy-le-Vieux dePhysique des Particules Groupe de Lyon Ecole Normale Sup´e rieure de Lyon∗URA 14-36du CNRS,associ´e e `a l’Ecole Normale Sup´e rieure de Lyon et `a l’Universit´e de Savoie.1IntroductionThe photon,in it’s high-energy interactions with hadrons,behaves very much like a hadron,however with cross sections reduced strongly against pure hadronic cross sections. Besides this soft hadronic interaction,usually described using the Vector Dominance Model(VDM),the photon has a direct(QED)pointlike interaction with the hadronic constituents and it has the resolved hard interaction between it’s hadronic constituents and the hadronic constituents of the target.At moderate energies these hard interac-tions of the photons do not change significantly the general picture of photon-hadron and photon-photon interactions,this is often forgotten if only the hard part of the pho-ton interaction is discussed.Even at high energies,hadronic interactions of photons are characterized by soft multiparticle production.Since the soft component of hadron pro-duction cannot be understood purely on the basis of perturbative QCD,one has to rely on models to calculate the multiparticlefinal states.The Dual Parton Model(DPM) (a recent review is given in Ref.[1])has been very successfully describing soft hadronic processes in hadron-hadron collisions.Observations like rapidity plateaus and average transverse momenta rising with energy,KNO scaling violation,transverse momentum-multiplicity correlations and minijets pointed out that soft and hard processes are closely related.These properties were understood within the two-component Dual Parton Model for hadron-hadron interactions by Aurenche et al.[2,3,4,5,6,7,8].Assuming an universal behavior of soft hadronic interactions,it is possible to extent the Dual Parton Model to hadronic interactions involving photons.First studies of photon-hadron interactions in the framework of the two-component Dual Parton Model were done by Engel[9,10,11].This reaction was studied within other models by various authors, one example is the work by Schuler and Sj¨o strand[12,13].Here we apply the model described in[9,11]to the study of hadronic photon-photon interactions.In Section II we give a brief introduction to the Dual Parton Model used to describe photon-hadron and photon-photon collisions,a complete account of the model can be found in[9,11].An overview of the model realization in the Monte Carlo event generator phojet is given.We study with phojet hadron-hadron and photon-hadron collisions and compare to data in Section III.In Section IV we compare the properties of minimum bias hadron production as calculated with phojet in hadron-hadron,photon-hadron and photon-photon collisions.In Section V we discuss the properties of hadron production via photon-photon collisions at present and future electron-positron colliders.A Summary is given in Section VI.2The event generator phojetThe realization of the Dual Parton Model with a hard and a soft component in phojet is similar to the event generator dtujet-93[2,8]simulating p-p and p-¯p collisions up to very high energies.In the following,we restrict our discussion of the model to the basic ideas rather than giving the complete expressions for all the formulae and quantities entering the model. More detailed descriptions of the model are given in[9,11].In the model,the dual nature of the photon is taken into account by considering the1physical photon state as a superposition of a ”bare photon”and virtual hadronic states having the same quantum numbers J P C =1−−as the photon.Since the properties of the high-mass hadronic fluctuations of the photon are not well known,it is necessary to introduce some approximations for calculations.To keep the model as simple as possible,two generic hadronic states |q ¯q and |q ¯q ⋆ have been introduced to describe the hadronic piece of the photon.The low-mass state |q ¯q corresponds to the superposition of the vector mesons ρ,ωand φand a π+π−background.The state |q ¯q ⋆ is used as an approximation for hadronic states with higher masses (e.g.ρ′,ω′or ρ′′).The physical photon reads|γ =f 2q ¯q −e 2f q ¯q |q ¯q +ef 2q ¯q 2g I P ,q ¯q (0)g I P ,q ¯q (0)s f 2q ¯q 2g I R,q ¯q (0)g I R,q ¯q (0)s 1+δk,l f γ,i (x 1,Q 2)f γ,j (x 2,Q 2)dσQCD i,j →k,l (ˆs ,ˆt )where fγ,i(x1,Q2)is the distribution of the parton i in the photon and the sum includes all possible parton configurations i,j,k,l.(iii)single direct interactionsσs-dir(s,p cutoff⊥)= dxdˆt i,k,l fγ,i(x,Q2)dσQCDγ,i→k,l(ˆs,ˆt)dˆtΘ(p⊥−p cutoff⊥).(6)For simplicity,we have written the cross section formulae only for the low-mass state |q¯q .Similar expressions are used for interactions involving the|q¯q⋆ state.If not explicitly stated,all the calculations have been done using the leading order GRV parton distribution functions for the proton[16]and the photon[17].Assuming Gaussian distributions in impact parameter space,the amplitudes for the different processes can be calculated from the cross sections given above.The amplitudes corresponding to the one-pomeron exchange between the hadronic fluctuations are unitarized applying a two-channel eikonal formalism similar to[18,2].In impact parameter representation,the eikonalized scattering amplitude for resolved photon interactions has the structurea res(s,B)=if2q¯q2 1−e−χ(s,B) (7)with the eikonal functionχ(s,B)=χS(s,B)+χH(s,B)+χD(s,B)+χC(s,B).(8) Here,χi(s,B)denotes the contributions from the different Born graphs:(S)soft part of the pomeron and reggeon,(H)hard part of the pomeron(D)triple-and loop-pomeron, (C)double-pomeron graphs.To get the photon-photon scattering amplitude,the resolved and the direct amplitude given by perturbative QCD are summed up.The complete expressions will be given in[11].The probabilities tofind a photon in one of the generic hadronic states,the coupling constants to the reggeon and pomeron,and the effective reggeon and pomeron intercepts cannot be determined by basic principles.These quantities are treated as free parameters. It was shown in[9]that it is possible tofix the free parameters by a globalfit to proton-proton and photon-proton cross sections and elastic slope parameters.In Fig.1we show the model predictions for the inelastic photon-photon cross section(including quasi-elastic vector meson production).The diffractive cross sections of quasi-elastic vector meson production(ρ,ωandφ),single diffraction dissociation and double diffraction dissociation are given in Fig.2.In order to show the strong dependence of the model extrapolations on the parton densities of the photon,the cross sections have been calculated with two different parametrizations of the parton distribution functions.3Once the free parameters are determined,the probabilities for the differentfinal state configurations are calculated from the discontinuity of the elastic photon-photon scattering amplitude(optical theorem).The total discontinuity can be expressed as a sum of graphs with k c soft pomeron cuts,l c hard pomeron cuts,m c triple-or loop-pomeron cuts,and n c double-pomeron cuts by applying the Abramovski-Gribov-Kancheli cutting rules[19,20]. In impact parameter space one gets for the inelastic cross sectionσ(k c,l c,m c,n c,s,B)=(2χS)k cl c!(2χD)m cn c!exp[−2χ(s,B)](9)with d2B∞k c+l c+m c+n c=1σ(k c,l c,m c,n c,s,B)≈σtot−σqel,(10)whereσtot andσqel denote the total cross section and the cross section of quasi-elastic vector meson production,respectively.We use here the conventions of[9]treating the triple-and loop-pomeron cross sections(and henceχD)as negative quantities.In[2] the negative sign is explicitly written in the cross section formulae(9).Since the triple-,loop-,and double-pomeron graphs are objects involving several pomerons,a further resummation is done[2,11]to allow for the probability interpretation of Eq.(9).In the Monte Carlo realization of the model,the differentfinal state configurations are sampled from Eq.(9).For pomeron cuts involving a hard scattering,the complete parton kinematics andflavors/colors are sampled according to the Parton Model using a method similar to[21],extended to direct processes.For pomeron cuts without hard large momentum transfer,the partonic interpretation of the Dual Parton Model is used: photons or mesons are split into a quark-antiquark pair whereas baryons are approximated by a quark-diquark pair.The longitudinal momentum fractions of the partons are given by Regge asymptotics[22,23,24,25].One obtains for the valence quark(x)and diquark (1−x)distribution inside the protonρ(x)∼1x(1−x)1.5(11)and for the quark antiquark distribution inside the photonρ(x)∼1x(1−x).(12)For multiple interaction events,the sea quark momenta are sampled from aρ(x)∼1d2p⊥∼exp(−βp⊥).(14)4The energy-dependent slope parameterβis calculated from the requirement to have a smooth transition between the transverse momentum distributions of the soft constituents and the hard scattered partons.For diffraction dissociation or double-pomeron scattering,the parton configurations are generated using the same ideas described above applied to pomeron-photon/hadron/pomeron scattering processes.Hence,a diffractive triple-pomeron or loop-pomeron cut can involve hard scattering subprocesses resulting in a rapidity gap event with jets.According to the kinematics of the triple-or loop-pomeron graphs,themass of the diffractively dissociating systems is sampled from a1/M2αI P(0)D distribution.The momentum transfer in diffraction is obtained from an exponential distribution with mass-dependent slope(see Ref.[9]).For the parton distributions of the pomeron,the CKMT parametrization with a hard gluonic component[27,28]is used.Finally,the fragmentation of the sampled partonicfinal states is done by forming color neutral strings between the partons according to the colorflow.For soft processes,the colorflow is approximated using the expansion of QCD for large numbers of colors and flavors.This leads to the two-chain configuration characterizing a cut pomeron(as shown in Fig.3(a),(b))and a one-chain system for a cut reggeon.In hard interactions the colorflow is taken from the matrix elements directly[29].The leading contributions of the matrix elements give a two-chain structure which corresponds to a cut pomeron.For example,a cut of a single hard pomeron graph(hard gluon-gluon scattering)is shown in Fig.3(c).This method is also applied to the direct photon interactions.The chains are fragmented using the Lund fragmentation code jetset7.3[30].3Hadron-hadron and photon-hadron collisions with phojetHadron production in hadron-hadron collisions has been extensively studied within the two-component Dual Parton Model using the dtujet model[2,8]in p-p and¯p-p colli-sions and using the dpmjet-ii model[31]in hadron-hadron,hadron-nucleus and nucleus-nucleus collisions.Hadron production in photon-hadron collisions is being studied in detail using the phojet model by Engel[10,11].We present here only a few comparisons of phojet results with hadron-hadron and photon-hadron data in order to illustrate, that the model as formulated in phojet is very well able to describe these channels.This is certainly required,if we want to apply the model to photon-photon reactions,where nearly no experimental data are available.For photon-photon collisions we have to rely on the predictive power of the model.3.1Hadron-hadron collisionsIn Figs.4and5we compare the transverse momentum distributions and pseudorapidity distributions with the results from collider experiments[32,33,34].The rise of the plateau with the collision energy is understood within the model by one of its most important ingredients:the production of multiple soft interactions and multiple hard interactions (minijets)rises with energy.The transverse momentum distributions as measured at col-5lider energies show besides the soft,exponentially damped,low p⊥component of hadron production the rise of the perturbative hard component with increasing energy.This be-comes more and more important with rising energy for minimum-bias hadron production.Discussing the changes in hadron production with rising energy,we should indicate, that phojet in its present version should not be applied for hadron-hadron,photon-√hadron or photon-photon collisions at collision energies beyond4Comparison of minimum-bias hadron production in hadron-hadron,photon-hadron and photon-photon collisionsIn this Section we compare the model predictions for inelastic hadron production in proton-proton,photon-proton and photon-photon collisions atfixed center-of-mass(CMS)√energiesfor the three channels.x r=(p /|p |)2E/√s.Significant differences between the three channels are only found in the region near x r=1or-1.The reason is the single diffrac-tive component,which in the p-p andγ-p case leads to the diffractive protons,which are obviously missing inγ-γcollisions.In Fig.14we compare the seagull effect in the three channels.Wefind due to the direct processes in photon-photon collisions,the rise of p⊥ with rising Feynman x F is more prominent in photon-photon collisions than in proton-proton collisions.In photon-proton interactions wefind backwards,in the proton fragmentation region,agreement with the p-p collision and in forward direction,the photon fragmentation region,agreement with photon-photon collisions.In Figs.15and16we plotfirst logarithmically and then linearly the transverse energy distribution dE⊥/dη.Roughly,these distributions should be equivalent to the pseudo-rapidity distribution dN/dηmultiplied with the average transverse energy per particle. We observe characteristic differences,which can be understood from the features already discussed.The transverse energy distribution is wider in photon-photon collisions than in proton-proton collisions.The transverse energy distribution rises at allηfrom p-p over γ-p toγ-γ.Forγ-p the distribution agrees backwards with p-p and forwards withγ-γ.For p-p or¯p-p collisions the transverse energy distribution atη=0is known from ISR experiments and experiments at the CERN collider.The values calculated with phojet agree well with these measurements.At HERA it was found,that practically the same transverse energy atη=0is found like in p-p interactions and in collisions of real or virtual photons with protons[38].This observation agrees well with our results in Figs. 15and16.Finally in Fig.17we plot the transverse energy distributions dN jet/dE⊥jet of jets found in the Monte Carlo events from phojet.The jets are searched on hadron level using a cone jetfinding algorithm with the cone radius R=1.Wefind again:high E⊥jet jets are more prominent inγ-γcollisions.5Hadron production in photon-photon collisions at present and future electron-positron colliders5.1Photonflux calculation5.1.1BremsstrahlungTheflux of quasi-real photons is calculated using the equivalent photon approximation (improved Weizs¨a cker-Williams spectrum[39,40,41]).Within this approximation the ep→eX photoproduction cross section is given bydσep2π 1+(1−y)2P2min−2m2e y 1P2max.(16)8Here,y and P2=−p2γdenote the energy fraction taken by the photon from the electron and the photon virtuality.αem is thefine structure constant.Taking the kinematic limit P2min,kin as lowest photon virtuality allowed one gets with the electron mass m e andP2min,kin=m2e y22π 1+(1−y)2m2e y2−2(1−y)dy1dy2=fγ,e(y1)fγ,e(y2)σγγ(s,0).(19) 5.1.2BeamstrahlungIn case of Gaussian beams,the effective beamstrahlung spectrum has been estimated by Chen et.al.[42].The dependence of this spectrum on the particle-bunch parameters can be expressed by the beamstrahlung parameter Y:Y=5r2e EN eΓ(1/3)y−2/3(1−y))−1/3e−κy/(1−y)· 1−w˜g(y)Nγ 1−e−Nγ˜g(y)+w 1−12(1−y)2/3 1−y+(1+y)κ).The average number of photons Nγemitted per electronis given byNγ=5α2emσz m e√5.1.3Photonemission by laser-backscatteringDepending on the polarization of the laser light,various photon spectra can be produced [44,45,46].Here we consider only the case of unpolarized laser radiation.Furthermore, we assume that the laser frequency is chosen to be below the pair-creation threshold at the optimal point.Then,the spectrum of backscattered photons can be written as[43]f laserγ,e(y)=−0.544y3+2.17y2−2.63y+1.09s γγ=5GeV(phojet would however run without problems even down to√s=175GeV for the phase II of the LEP collider.Of course here we have only to consider the equivalent photonspectrum.Assuming anti-tagging of the scattered electons and positrons we restrict the photon virtuality to satisfy P2≤1.75GeV2/c2.The average photon-photon energy at LEP-II with the given electron-positron energy will be√s γγ=25GeV.Wefind,thatthe average properties are rather well represented by photon-photon collisions at√s γγ=10GeV.The plot gives thevisible energy distribution without restrictions and in a second curve the visible energy obtained if we demand at least one jet with E⊥jet≥5GeV and impose the visible energy cut E visible≤50GeV within the acceptance region given above.We observe:nearly each event with a visible energy above30GeV contains at least one jet with E⊥jet≥5GeV.6Conclusions and summaryThe phojet model can be used to calculate hadronic events in hadron-hadron,photon-hadron and photon-photon collisions.The model is found to agree well with data inhadron-hadron and photon-hadron collisions,the predictions for photon-photon collisions do not need any new parameters.Multiple soft and multiple hard interactions(minijets)lead to a rise of the rapidity plateau,which agrees in hadron-hadron and photon-hadron collisions very well with the rise of the plateau observed experimentally.Minimum bias hadron production in hadron-hadron,photon-hadron and photon-photon collisions of the same CMS energy is remarkably similar.To see this,one has to restrict the comparison to inelastic events and to exclude also the diffractively produced vector mesons in reactions involving photons.The only striking differences appear in the trans-verse momentum distribution or distributions,where the transverse momentum behavior is essential.This difference can be understood to be due to the direct photon interaction contribution and due to the photon structure function being considerably harder than hadronic structure functions.phojet can be applied also to photon-photon interactions in electron-hadron and electron-electron or electron-positron colliders.Photon spectra according to the equiva-lent photon approximation,according to beamstrahlung spectra and backscattered laser radiation in linear electron-positron colliders are implemented at present.It is easy to implement other similar photon spectra.With these possibilities phojet should be a tool suitable to study the photon-photon background to other interesting reactions at such colliders.AcknowledgementsThe authors are grateful to P.Aurenche for many helpful discussions and suggestions. They acknowledge the hospitality and support by LAPP,Annecy-le-Vieux,most of the re-sults presented were obtained during stays at LAPP and they acknowledge the invitations to sessions of LEP-II and linear collider study groups by the conveners of these studies. One of the authors(R.E.)was supported by the Deutsche Forschungsgemeinschaft under contract No.Schi422/1-2.References[1]A.Capella,U.Sukhatme,Chung I Tan and J.Tran Thanh Van:Phys.Rep.236,225(1994).[2]P.Aurenche,F.W.Bopp,A.Capella,J.Kwiecinski,M.Maire,J.Ranft and J.TranThanh Van:Phys.Rev.D45,92(1992).[3]A.Capella,J.Tran Thanh Van and J.Kwiecinski:Phys.Rev.Lett.58,2015(1987).[4]F.W.Bopp,A.Capella,J.Ranft and J.Tran Thanh Van:Z.Phys.C51,99(1991).[5]F.W.Bopp,D.Pertermann and J.Ranft:Z.Phys.C54,683(1992).[6]R.Engel,F.W.Bopp,D.Pertermann and J.Ranft:Phys.Rev.D46,5192(1992).[7]S.Roesler,R.Engel and J.Ranft:Z.Phys.C59,481(1993).[8]F.W.Bopp,D.Pertermann,R.Engel and J.Ranft:Phys.Rev.D49,3236(1994).[9]R.Engel:Z.Phys.C66,203(1995).[10]R.Engel:Photoproduction within the Dual Parton Model,Talk given at XXIXthRencontre de Moriond,in Proceedings of the XXIXth Rencontre de Moriond,Meri-bel,France,Page321,ed.by J.Tran Thanh Van,Edition Frontieres,Gif-sur-Yvette, 1994.[11]R.Engel:to be published.[12]G.A.Schuler and T.Sj¨o strand:Nucl.Phys.B407,539(1993).[13]G.A.Schuler and T.Sj¨o strand:Phys.Rev.D49,2257(1994).[14]bridge,J.Kripfganz and J.Ranft:Phys.Lett.70B,234(1977).[15]D.W.Duke and J.F.Owens:Phys.Rev.D26,1600(1982).[16]M.Gl¨u ck,E.Reya and A.Vogt:Phys.Rev.D45,3986(1992).[17]M.Gl¨u ck,E.Reya and A.Vogt:Phys.Rev.D46,1973(1992).[18]A.Capella,J.Kaplan and J.Tran Thanh Van:Nucl.Phys.B105,333(1976).[19]V.A.Abramovski,V.N.Gribov and O.V.Kancheli:Yad.Fis.18,595(1973).[20]K.A.Ter-Martirosyan:Phys.Lett.B44,377(1973).[21]K.Hahn and J.Ranft:Phys.Rev.D41,1463(1990).[22]A.Capella,U.Sukhatme and J.Tran Thanh Van:Z.Phys.C3,329(1980).[23]A.Capella,U.Sukhatme,C.I.Tan and J.Tran Thanh Van:Z.Phys.C10,249(1980).[24]A.B.Kaidalov:Phys.Lett.116B,459(1982).[25]A.B.Kaidalov and K.A.Ter-Martirosyan:Phys.Lett.117B,247(1982).[26]F.W.Bopp and R.Engel:Effects of unitarity corrections in deep inelastic scatteringat HERA,Siegen University SI95-05,1995.[27]A.Capella,A.Kaidalov,C.Merino and J.Tran Thanh Van:Phys.Lett.B343,403(1995).[28]R.Engel,J.Ranft and S.Roesler:Phys.Rev.D52,1459(1995).[29]H.U.Bengtsson:mun.31,323(1984).[30]H.U.Bengtsson and T.Sj¨o strand:mun.46,43(1987).[31]J.Ranft:Phys.Rev.D51,64(1995).[32]C.Albajar et al.:Nucl.Phys.B335,261(1990).[33]G.J.Alner et al.:Z.Phys.C33,1(1986).[34]F.Abe et al.:Phys.Rev.D41,2330(1990).[35]EHS-RCBC Collaboration:J.L.Bailly et al.:Z.Phys.C35,295(1987).[36]OMEGA Photon Collab.:R.J.Apsimon et al.:Z.Phys.C43,63(1989).[37]H1Collab.:I.Abt et al.:Phys.Lett.B328,177(1994).[38]H1Collab.:S.Aid et al.:Comparison of Deep Inelastic Scattering with Photopro-duction at HERA,DESY95-156,1995.[39]C.F.von Weizs¨a cker:Z.Phys.88,612(1934).[40]E.J.Williams:Phys.Rev.45,729(1934).[41]S.Frixione,M.Mangano,P.Nanson and G.Ridolfi:Phys.Lett.B319,339(1993).[42]P.Chen,T.L.Barklow and M.E.Peskin:Phys.Rev.D49,3209(1994).[43]M.Drees and R.M.Godbole:Z.Phys.C59,591(1993).[44]I.F.Ginzburg,G.L.Kotkin,V.G.Serbo and V.I.Telnov:Nucl.Instrum.Methods205,47(1983).[45]I.F.Ginzburg,G.L.Kotkin,V.G.Serbo and V.I.Telnov:Nucl.Instrum.Methods219,5(1984).[46]V.I.Telnov:Nucl.Instrum.Methods294,72(1990).[47]R.Brinkmann:SBLC and TESLA general design overview,Presentation at theLinear Collider workshop,Gran Sasso,Italy,1995.[48]PLUTO Collab.:M.Feindt et al.:Talk given at7th International Workshop onphoton-photon interactions,Paris,1986.[49]TPC/2γCollab.:H.Aihara et al.:Phys.Rev.D41,2667(1990).[50]CELLO Collab.:H.J.Behrend et al.:Z.Phys.C51,365(1991).[51]PLUTO Collab.:C.Berger et al.:Phys.Lett.149B,421(1984).[52]D.Bintinger et al.:Phys.Rev.Lett.54,763(1985).[53]G.A.Schuler and T.Sj¨o strand:Low-and high-mass components of the photondistribution functions,CERN-TH/95-62,1994.[54]G.A.Schuler and T.Sj¨o strand:Preprint CERN–TH.7193/94,presented at theWorkshop on Two Photon Physics,Paris(1994).[55]T.Kafka et al.:Phys.Rev.D16,1261(1977).[56]A.E.Brenner et al.:Phys.Rev.D26,1497(1982).[57]LEBS-EHS Collaboration:M.Aguilar-Benitez et al.:Z.Phys.C50,405(1991).[58]EHS–RCBC Collaboration:J.L.Bailly et al.:Z.Phys.C35,309(1987).Table1Comparison of average quantities characterizing hadron production in non-diffractive p–p,γ–p andγ–γcollisions at cms energies between10and200GeV.All average transverse momenta are given in GeV/c.√Quantityγ–p1011.211.7n ch 6.5310 2.17 2.88n¯p0.063100.390.42<p⊥>π−0.33100.410.47<n>softch. 1.19100.0.0020n tot16.6209.6410.00nπ− 3.78200.0860.20<p⊥ch>centr.η0.38200.320.38<p⊥>¯p0.4520 1.26 1.31<n>minijets0.00255024.826.9n ch15.550 5.49 6.53n¯p0.27Continuation of Table1√Quantityγ–p500.380.46<p⊥>π−0.35500.440.57<n>softch. 1.68500.00960.17n tot46.220023.327.6nπ−10.942000.460.67<p⊥ch>centr.η0.422000.350.42<p⊥>¯p0.53200 1.59 1.29<n>minijets0.36Table2Average photon–photon energies and weight factors inµb for the three photon spectra and two linear collider energies.√Photon spectrum sγγ5005050016.750025210001051000411000509=25GeV.sγγQuantityγγat25GeV15.6n ch10.13.74nπ− 4.120.17<p⊥>π−0.370.50<n>softch. 1.440.035Weight(µb)Figure 1:Inelastic photon-photon cross sections as calculated in the model compared with experimental data at low energies [48,49,50,51,52].The two curves from the model were calculated using the GRV LO photon structure function [17]and the SaS 2M photon structure function [53].The differences between both curves at high energy demonstrate the uncertainties of the predictions due to the limited data available on the photon structure function.Our curve calculated with the SaS 2M structure function agrees practically with the cross section calculated with the same structure function but using another model by Schuler and Sj¨o strand [54].Figure 2:Diffractive cross sections as calculated with phojet using the GRV LO photon structure function [17]and the SaS 2M photon structure function [53].The upper curve is for each of the three cross sections the one obtained with the GRV LO structure function.Figure 3:Unitarity cut of a one-pomeron graph:the unitarity sum including all possible final states is subdivided into final states with low-p ⊥partons and into final states with at least one parton satisfying p ⊥≥p cutoff⊥.Figure 4:Comparison of transverse momentum distributions of charged hadrons with collider data at√s =200GeV.Figure 6:Comparison of Feynman x F distributions of π+-mesons produced in proton-proton collisions at 205and 175GeV.The experimental data are from Kafka et al.[55]and from Brenner et al.[56].The data from both experiments agree rather well with each other.The calculation uses the Dual Parton Model phojet .Figure 7:Comparison of Feynman x F distributions of π−-mesons produced in proton-proton collisions at 400and 360GeV.The experimental data are from the Aguilar-Benitez et al.[57]and from the EHS-RCBC Collaboration [58].The data from both experiments agree rather well with each other,in fact most of the data points of [58]are below the [57]data.The calculation uses the Dual Parton Model phojet .Figure8:Comparison of the seagull effect in the reaction p+p→h−+X at360GeV.The data are from the EHS-RCBC Collaboration[35].The calculation uses the Dual Parton Model phojet.Figure9:Comparison of the transverse momentum distribution of charged hadrons with 0≤x F≤1as calculated with phojet at the average photon energy of140GeV with data.The data are from the OMEGA Collaboration[36]measured with a tagged photon beam in the energy band110-170GeV.Figure10:Comparison of the transverse momentum distribution of charged hadrons produced by quasi-real photons in electron-proton collisions at HERA[37]with the pho-jet calculation[10].The data and the calculation is in the pseudorapidity region-1.5≤ηlab≤1.5.Figure11:Comparison of the inclusive pseudorapidity cross section of charged hadrons produced by quasi-real photons in electron-proton collisions at HERA[37]with the pho-jet calculation[10].√Figure12:We compare at the collision energy√s=200GeV the radial x r=2E/s=200GeV the average transverse momentum of charged hadrons produced in proton-proton,photon-proton and photon-photon collisions as function of the Feynman x F variable(seagull effect).The calculation was done with phojet for inelastic collisions,excluding in photon-proton collisions the V-p and in photon-photon collisions the V-V diffractive contributions.20。