Comparison of White Dwarf Mass Determinations

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arXiv:astro-ph/0503111v1 4 Mar 200514thEuropeanWorkshoponWhiteDwarfsASPConferenceSeries,Vol.999,2005D.Koester,S.Moehler

ComparisonofWhiteDwarfMassDeterminationsS.BoudreaultandP.BergeronD´epartementdePhysique,Universit´edeMontr´eal,C.P.6128,SuccursaleCentre-Ville,Montr´eal,Qu´ebec,Canada,H3C3J7

Abstract.Whitedwarfmassescanbedeterminedinseveralways.HerewecomparemassesobtainedfromBalmerlinespectroscopywiththosederivedfromtrigonometricparallaxmeasurementsforanensembleofcoolhydrogen-atmospherewhitedwarfs.

1.FittingTechniqueOurphotometricandspectroscopicsampleiscomposedofallDAstarsinthetrigonometricparallaxsampleofBergeron,Leggett,&Ruiz(2001;BLRhere-after).Werestrict,however,ouranalysistoobjectsabove6500K(52stars),forwhichthespectroscopicmethodofdeterminingatmosphericparametersre-mainsreliable.ThesampleisfirstanalyzedbyfittingtheopticalBVRIandinfraredJHKphotometryusingthemethoddescribedinBLRandreferencestherein.OnlyTeffandthesolidangleπ(R/D)2areconsideredfreeparameters,where(R/D)istheratiooftheradiusofthestartoitsdistancefromEarth.Thedistancesareobtainedfromthetrigonometricparallaxmeasurements,andtheresultingradiiareconvertedintomassesusingtheevolutionarymodelsofFontaine,etal.(2001)withthickhydrogenlayers.SpectroscopicobservationshavebeensecuredfortheDAstarsinoursampleusingtheSteward2.3-mtele-scopeequippedwiththeBoller&Chivensspectrograph.ThehighBalmerlinespectraarefittedwithagridofmodelatmospheresfollowingtheprocedurede-scribedinBergeron,etal.(1992).TheresultingTeffandloggvaluesarethenconvertedintomassesusingthesameevolutionarymodelsasabove.

2.ComparisonofSpectroscopicandPhotometricStellarParametersWecompareinFigure1(leftpanel)thespectroscopicandphotometrictemper-aturesforall52starsinoursample.Theagreementbetweenthespectroscopicandphotometrictemperaturesforoursampleisexcellent,withtheexceptionofWD2329+267,amagneticwhitedwarfwhoselineprofilesexhibitstrongZeemansplitting,WD1606+422,asuspecteddoubledegenerate(BLR),andWD1824+040,aconfirmeddoubledegenerate(Maxted&Marsh;1999).Thecomparisonofspectroscopicandphotometricmassesforour52objectsisdis-playedinFigure1(rightpanel).Thevectorshowninthefigureindicateshowthemasseswouldbeaffectedifthinhydrogenlayermodelswereusedinsteadofthickhydrogenmodelstoderivemasses.Formostobjectsthemassdeter-minationsyieldsignificantlydifferentresults,ascanbeseenbythesizeofthe

12BoudreaultandBergeronFigure1.Comparisonofthespectroscopicandphotometrictemperature(leftpanel)andmasses(rightpanels)forour52whitedwarfs.

uncertainties(crossinupperleftcorner).Ingeneral,thespectroscopicmassesarelargerthanthoseinferredfromphotometryandtrigonometricparallaxes.OneobviousexceptionisLHS4033near1.35M⊙,forwhichbothestimatesagreeperfectly(seealsoDahnetal.;2004).Interestinglyenough,thereappearstobealargenumberoflowmass(M<0.5M⊙)starsinthephotometricmassdistributionthatisnotobservedinthespectroscopicdistribution.Thissug-geststhatthelowmasscomponentmaybecontaminatedbyunresolveddoubledegenerates,whichwouldappearasoverluminous,andthusinterpretedaslowmasswhitedwarfswhenanalyzedwiththephotometrictechnique.

Figure2.Comparisonofthespectroscopicandphotometricmassesforthe13objectsbelowMphot=0.48M⊙(circles)byassumingthattwowhitedwarfsofequaltemperaturesandradiicontributetothetotalluminosity(triangles).

3.UnresolvedDoubleDegeneratesIfweredoouranalysisforthe13objectsbelowMphot=0.48M⊙inFigure1byassumingthattwowhitedwarfsofequaltemperaturesandradiicontributeComparisonofWhiteDwarfMassDeterminations3tothetotalluminosity,weobtaintheresultsshowninFigure2.Ofcourse,thespectroscopicmassdeterminationsarenotaffectedsincebothstarsareassumedtobeidentical.Weseethatinmostcases,butnotall,itispossibletorec-oncilethespectroscopicandphotometricmasses.OneoftheobjectsinFigure2isL870-2,awell-knowndoubledegeneratewithalmostidenticalatmosphericparameters.

4.ThePresenceofHeliumintheAtmospheresofCoolDAStarsThemassdiscrepancyfortheDAstarsinoursamplecanalsobeexplainedintermsofthepresenceofheliumintheatmospheresofcoolDAstars,broughttothesurfacebythehydrogenconvectionzone,andspectroscopicallyinvisibleattheselowtemperatures.Indeed,asdemonstratedbyBergeronetal.(1990),thepresenceofheliumtendstoincreasetheatmosphericpressure,whichwouldbeinterpretedasresultingfromahighsurfacegravity(orhighmass)whenanalyzedwithpurehydrogenmodels.Toillustratemorequantitativelytheef-

Figure3.Comparisonofthespectroscopicandphotometricmassesas-sumingapurehydrogenatmosphere(circles)andamixedcompositionofN(He)/N(H)=1(triangles).