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Magnetically Dominated Strands of Cold Hydrogen in the Riegel-Crutcher Cloud

Magnetically Dominated Strands of Cold Hydrogen in the Riegel-Crutcher Cloud
Magnetically Dominated Strands of Cold Hydrogen in the Riegel-Crutcher Cloud

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Magnetically Dominated Strands of Cold Hydrogen in the Riegel-Crutcher Cloud N.M.McClure-Gri?ths,1J.M.Dickey,2B.M.Gaensler,3,4A.J.Green,5and Marijke Haverkorn 6,7ABSTRACT We present new high resolution (100′′)neutral hydrogen (H i )self-absorption images of the Riegel-Crutcher cloud obtained with the Australia Telescope Com-pact Array and the Parkes Radio Telescope.The Riegel-Crutcher cloud lies in the direction of the Galactic center at a distance of 125±25pc.Our observations resolve the very large,nearby sheet of cold hydrogen into a spectacular network of dozens of hair-like ?laments.Individual ?laments are remarkably elongated,being up to 17pc long with widths of less than ~0.1pc.The strands are rea-sonably cold,with spin temperatures of ~40K and in many places appearing to have optical depths larger than https://www.doczj.com/doc/1e9464875.html,paring the H i images with obser-vations of stellar polarization we show that the ?laments are very well aligned with the ambient magnetic ?eld.We argue that the structure of the cloud has been determined by its magnetic ?eld.In order for the cloud to be magnetically dominated the magnetic ?eld strength must be >30μG.Subject headings:ISM:structure —ISM:clouds —ISM:magnetic ?elds —radio lines:ISM

1.Introduction

Recent high resolution surveys of neutral hydrogen(H i)in the Galactic Plane show that the structure of the warm atomic medium varies signi?cantly on arcminute scales.The detailed structure of cold H i,however,is much more elusive.Most of our knowledge of cold H i comes from observations of H i absorption towards continuum sources(e.g.Heiles &Troland2003,2005).Although these measurements are e?ective for determining gas temperature,they have limited applicability to structural studies because they only trace gas along single lines of sight towards an irregularly distributed array of background sources. Another probe of cold H i is H i self-absorption(HISA)towards bright background H i emission.This is not,strictly speaking,self-absorption,but absorption of background H i emission by cold foreground H i.Surveys like the Canadian Galactic Plane Survey(CGPS; Taylor et al.2003)and the Southern Galactic Plane Survey(SGPS;McClure-Gri?ths et al. 2005)have revived studies of HISA,showing that it is a good probe of the structure of cold H i on small scales(e.g.Gibson et al.2000;Kavars et al.2005).Although these studies are able to image HISA over large areas,and have better estimates of the background emission than lower resolution surveys,it remains di?cult to unravel the structure of the cold foreground H i from variations in the background emission.

One of the most famous examples of a large scale HISA feature is the Riegel-Crutcher (hereafter R-C;Riegel&Crutcher1972)cloud in the direction of the Galactic center.The R-C cloud was?rst discovered by Heeschen(1955)in his survey of H i at the Galactic center and he suggested that the cloud was very extended.Subsequent observations by Riegel&Jennings(1969)showed that the cold cloud extends over~40degrees of Galactic longitude and~10degrees of latitude.It has even been suggested that the cloud is part of a much larger structure,Lindblad’s Feature A,spanning the full360deg of Galactic longitude (Lindblad et al.1973).Estimates of the temperature of the cloud show that despite its striking appearance it is not exceptionally cold,with most estimates of spin temperature ranging between35-45K(Montgomery et al.1995;Riegel&Crutcher1972;Riegel& Jennings1969;Heeschen1955).By measuring Ca II lines in the spectra of OB stars Crutcher &Riegel(1974)determined that the cloud is between150and180pc distant.Further Na I observations by Crutcher&Lien(1984)helped constrain the distance to125±25pc,with an estimated thickness of1to5pc.

The R-C cloud provides us with one of the best opportunities for imaging the cold neutral medium(CNM)over a large area.The H i background towards the center of the Galaxy is amongst the brightest anywhere in the Galaxy;this direction provides an ideal bright,high column density background against which to image the CNM.Here we present new high resolution(~100′′)H i images of the R-C cloud,which allow us to study the

structure of the CNM on scales of0.06pc to22pc.In this paper we explore the relationship

of the R-C cloud to the ambient magnetic?eld and discuss its implications for the structure

of the CNM throughout the Milky Way.

This paper is structured as follows:in§2we discuss the data taking and reduction

strategy used.In§3we present images of the R-C cloud and in§3.1we derive optical depth

and column density maps.We present evidence of an associated magnetic?eld in§4.In

§5.1we discuss the strength of the magnetic?eld and its e?ect on the structure of the cloud. In§5.2and5.3we comment on the structure of the R-C cloud,its similarity to molecular

clouds and the implications for models for the structure of the CNM.

2.Observations and Data Analysis

The data presented here were obtained as part of an extension to the Southern Galactic

Plane Survey(SGPS;McClure-Gri?ths et al.2005).Between late2002and early2004

the SGPS was extended to cover100deg2around the Galactic Center.The SGPS Galactic

Center(GC)survey,like the main SGPS,is a survey of the21-cm continuum and H i spectral

line emission in large regions of the Galactic Plane.The GC survey covers?5?≤l≤+5?and?5?≤b≤+5?.The main goal of the SGPS GC survey is to study the structure and dynamics of H i in the inner~1kpc of the Galaxy,a topic which we will defer to a future paper.

The GC survey combines data from the Australia Telescope Compact Array(ATCA)

and the Parkes Radio Telescope for full sensitivity to angular scales from10degrees down

to the100′′resolution of the data.The Parkes data were observed and imaged as part of the

main SGPS survey and are fully described in McClure-Gri?ths et al.(2005).The ATCA

data were taken in a slightly di?erent manner than the data for the rest of the SGPS.For

completeness we describe the full ATCA GC survey parameters here.

The ATCA is an interferometer of six22m dishes situated near Narrabri,New South

Wales,Australia.ATCA data were obtained during eight observing sessions between2002

December and2004June.An additional day of make-up observations was scheduled in2004

November to?ll in gaps in the u-v coverage.The ATCA has linear feeds that receive two

orthogonal linear polarizations,X and Y,and can observe at two intermediate frequencies

(IFs)simultaneously.As in the SGPS,all data were recorded using a correlator con?guration

that records the autocorrelations,XX and Y Y,in1024channels across a4MHz bandwidth,

as well as the full polarization products,XX,Y Y,XY,and Y X,in32channels across a

128MHz bandwidth.The?rst IF was centered at1420MHz to observe the H i line and

the second was centered at1384MHz.Here we describe only the narrow-band H i data and reserve discussion of the continuum data for a future paper.

Observations were made using six east-west array con?gurations with maximum base-lines between352m and750m.Most baselines,in multiples of15m,between31m and 750m were sampled by the combination of the con?gurations EW352,EW367,750A,750B, 750C,and750D.The observing arrays and dates are given in Table1.The100deg2?eld was covered by a total of967individual pointings;948pointings were newly observed and the remaining19pointings were taken from the SGPS Phase I.All pointings were distributed on a common hexagonal pattern with a separation of19′between adjacent pointings.The ob-servations were made in snap-shot mode with60s integrations per pointing.Each pointing was observed approximately30times for a total integration time of~30min per pointing.

The primary?ux calibrator,PKS B1934-638,was observed once per day for bandpass and absolute?ux calibration,assuming a?ux at1420MHz of14.86Jy(Reynolds1994).

A secondary calibrator,PKS B1827-360,was observed approximately every45minutes for complex gain and delay calibration.Data editing and calibration were completed within the MIRIAD data reduction package using standard techniques(Sault&Killeen2004).

The967pointings were linearly combined and imaged using a standard grid-and-FFT scheme.The mosaicing process uses the joint approach,where dirty images are linearly combined and jointly deconvolved(Sault et al.1996).The joint imaging and deconvolution process improves the sensitivity to large angular scale structures,increasing the maximum scale sampled from~23′for a single pointing observation to~30′for the mosaiced image (McClure-Gri?ths et al.2005).The deconvolution uses a maximum entropy method,which is very e?ective at deconvolving large-scale emission.The maximum entropy algorithm in MIRIAD does not deconvolve the dirty beam from areas of“negative emission”,such as continuum sources observed in absorption.The Galactic center region contains many very strongly absorbed continuum sources that would not be deconvolved in standard processing. To reduce the confusing sidelobe levels observed around these sources we modeled the sources and subtracted them from the u-v data prior to imaging.Although we were not able to completely remove the sources,the resultant sidelobes were signi?cantly reduced and do not adversely a?ect the analysis of the H i cube presented here.

Finally,the deconvolved ATCA image cube was combined with the Parkes data cube to recover information on angular scales larger than~36′.This combination was performed using the MIRIAD task IMMERGE,which Fourier transforms the deconvolved ATCA and Parkes images,reweights them such that the Parkes image is given more weight for large angular scales and the ATCA image more weight for small angular scales.The weighted, Fourier transformed images are linearly combined and then inverse Fourier transformed(Sta-

nimirovi′c2002).The?nal datacube has a resolution of100′′and is sensitive to angular scales

up to the10?image size.The rms brightness temperature sensitivity in the combined cube

is~2K.The rms increases to~3K in the~1deg2immediately surrounding the Galactic

center because the broad H i line emission contributes to the ATCA system temperature.

Here we present only the part of the H i data cube pertaining to the Riegel-Crutcher cloud,

the full SGPS GC dataset will be published in a future paper.

3.Results

An H i image at an LSR velocity of4.95km s?1from the?nal,combined H i data

cube is shown in the left panel of Figure1.The Riegel-Crutcher(R-C)cloud is visible as

the large black swath that extends from upper left to the bottom right of the image.In

order to estimate the properties of the cloud itself,and to better examine its structure,we

need to separate it from the background H i emission.There are many ways of estimating

the unabsorbed H i emission,T o?,including using averages of spectra observed adjacent

to the cloud or interpolating across the absorption with a linear,parabolic or high-order

polynomial?t.Each technique has its limitations;for very extended features like the R-C

cloud,o?cloud spectra are too distant from the on-cloud positions to accurately re?ect the

unabsorbed emission.High order polynomial interpolations across the absorption pro?le

can give good estimates for T o?,but these are computationally expensive for many spectra.

Depending on the line pro?le a simple linear?t can also give a reasonable approximation to

the o?-cloud emission,with minimal computational e?ort.For simplicity we have chosen to

interpolate across the absorption with a linear?t.An example of an interpolated spectrum

and the di?erence between the absorbed and unabsorbed spectra,?T≡T on?T o?,is shown in Figure2.For each pixel in the GC cube with an absorption depth of more than8K

we searched for the edges of the absorption feature,interpolated between those edges and

replaced the intermediate channels with the interpolated spectrum.The result is a cube of

unabsorbed emission,T o?.The right panel of Fig.1shows the unabsorbed emission for the

same velocity channel as the left panel.Although the interpolation is not perfect,it has

removed the bulk of the R-C cloud.

Velocity channel images of the di?erence,?T,between the observed and the unabsorbed

cubes are shown in Fig.3.Here we show only velocity channels between3.3km s?1and7.4

km s?1,which cover the majority of the R-C cloud at these longitudes.The images have a

channel separation of0.82km s?1.The bulk of the cloud is observed in the top-left corner

of the image,from there the cloud extends to higher longitudes and latitudes,not covered

by the SGPS.In this region the cloud appears fairly smooth in structure.Extending from

the bulk of the cloud towards the lower right of the image is a wispy elongated structure. Unlike the dense top of the cloud,the tail appears to be resolved into a network of narrow ?laments,or strands,all roughly aligned.We emphasize that the edges of these?laments are real self-absorption features and are not simply places where the background emission drops away.The ensemble of?laments has a distinct curvature to it and resembles a rope of gas made up of individual strands.The individual strands appear to be mostly unresolved or in some cases marginally resolved.They have widths of between2′and5′,which,at a distance of125pc,correspond to physical widths of0.07?0.2pc.Some?laments can be traced across the majority of the image;the longest continuous?lament is7.?7,or16.9pc. Many of the?laments have aspect ratios in the range50-170:1.

3.1.Properties of the Cloud

Deriving the temperature and density of an H i cloud is non-trivial.In theory these can be derived from solutions of the radiative transfer equation.In practice,though,the radiative transfer equation cannot be solved for the complicated H i pro?les observed in the Galaxy.To derive the spin temperature,T s,and optical depth,τ,of the R-C cloud we must make some simplifying assumptions.Here we use the four-component model outlined in Gibson et al. (2000)and Kavars et al.(2003).This model assumes that all of the continuum emission,T c, originates behind the HISA cloud,but allows for both foreground and background H i with spin temperature and optical depths of T s,fg,τfg and T s,bg,τbg respectively.In this model,the radiative transfer equation can be solved for the di?erence between the observed brightness temperature on,T on,and o?the cloud,T o?.In the di?erence between on and o?cloud the direct contribution to the brightness temperature from the foreground cloud is the same and cancels out.The on-o?di?erence is given by:

?T≡T on?T o?= T s?T s,bg 1?e?τbg ?T c 1?e?τ .(1) All variables,with the exception of T c,are functions of velocity,v.We make a further assumption thatτfg andτbg are small.As in Gibson et al.(2000)we use the variable,p,to describe the fraction of the H i emission originating behind the self-absorption cloud.These assumptions allow us to solve equation(1)for the optical depth,

τ=?ln 1??T

scales is only10%of the mean continuum emission for a given latitude and not deemed important for the rough temperature analysis presented here.Included in equation(2)are the parameters T o?and p,which are not directly observed and must therefore be estimated. For T o?we use the interpolated cube described above.Although the technique of linear in-terpolation across the absorption feature can underestimate the absorption in the line wings, we?nd that the errors introduced are small when compared to?T.As our analysis does not rely heavily on accurate linewidths,this does not signi?cantly a?ect our results.To estimate p we assume that because the R-C cloud is at a distance of only125pc and lies just beyond the edge of the Local Bubble(Crutcher&Lien1984),there is very little foreground H i emission and the majority of the H i emission will be behind the cloud.We therefore assume that p is constant across the cloud and that it is equal to one,which will give a lower limit for the optical depth.We discuss the implications onτfor non-unity values of p in§3.1.2.

It is clear from equation(2)that the optical depth and spin temperature of the cloud are degenerate.Numerous authors have explored methods of constraining either T s orτ, including some e?orts applied speci?cally to the R-C.For example,Montgomery et al.(1995) estimated T s=35K by assuming that all of the measured linewidth,?v,for the narrowest absorption line can be attributed to random kinetic motions,so that T s=T k=21.6(?v)2K. This equation must be used with care,however,because it ignores all turbulent motions, which is not always an appropriate assumption.Spin temperature values estimated this way should be considered only as upper limits.This method also demands an accurate measurement of the line-width,which as Levinson&Brown(1980)caution,can be di?cult to attain for an H i self-absorption feature.

In some circumstances the line shape itself can be used to decouple T s andτ.Assuming a Gaussian optical depth of width?v,centered at v c,

τ(v)=τ0exp[?2ln4(v?v c)2/?v2],(3)

the absorption pro?le de?ned by equation(1)will?atten in the core asτ>1.In this

equation?v is related to the line dispersion,σ,as?v=

are also overlaid for comparison.Fitting all saturated pro?les in the GC dataset we?nd that the spin temperatures lie in the range30-65K.Because of the errors involved in this method for deriving spin temperatures these are only estimates of the https://www.doczj.com/doc/1e9464875.html,paring the range of spin temperatures that we estimate with those estimated by Montgomery et al. (1995)and Crutcher&Lien(1984)we have chosen to adopt a spin temperature of T s=40 K for the R-C cloud.It is heartening to note that this is the same value that Heeschen (1955)found in his original work on this feature.

The?t to the line pro?le also gives us an estimate for the observed line width,σobs.We assume that the measured linewidth is related to the thermal and turbulent linewidths by σobs= 8ln2σobs~3.5km s?1.For40K gas the thermal linewidth isσth~0.6km s?1,which allows us to approximate the turbulent linewidth as σturb~1.4km s?1.

3.1.1.Density and Pressure

The column density of the H i line is related to the spin temperature and optical depth by:

N HI=1.83×1018T s τ(v)dv cm?2,(4) which is valid for smallτ.Using a constant value for T s across the cloud we can solve equation (2)for the optical depth as a function of position and velocity,which may be integrated to produce a column density image for the R-C cloud.We use a constant value of T s=40K across the?eld.An image of column density in the R-C cloud is shown in Figure5.The mean column density over the entire structure is2.0±1.4×1020cm?2.The densest regions are in the body of the cloud at positive latitudes and longitudes.There we measure column densities of~4×1020cm?2,whereas the individual?laments have lower column densities of~1×1020cm?2.

These estimates for the column density and spin temperature allow us to make some order-of-magnitude estimates for the density and thermal pressure of the cloud,assuming a cloud thickness,?s.Crutcher&Lien(1984),based on stellar absorption measurements, estimate that the thickness of the R-C cloud is1-5pc.However,our images show that the individual?laments have plane-of-sky widths of less than~0.1pc.It is therefore possible that the strands are cylindrical and that the thickness of the strands is similar to the strand width,?s~0.1pc.We therefore use?s=0.1pc to estimate the H i number density,n H, and thermal pressure,P th/k=N HI T s/?s=n H T s in the individual?laments.The mean H i

density and pressure of the?laments are460cm?3and1.8×104K cm?3,respectively.The cylindrical geometry for the strands is more intuitive than a collection of edge-on ribbons. Nevertheless,the data do not exclude an edge-on ribbon scenario.If the?laments are edge-on sheets of width?s~1pc,as suggested from the lower limit of Crutcher&Lien(1984) then the mean H i density and pressure of the?laments are46cm?3and1.8×103K cm?3, respectively.For the upper left of the cloud we suggest that the smoothness is indicative of many?laments integrated along the line of sight.We therefore assume that the width of the base is1?5pc,as estimated by Crutcher&Lien(1984).Assuming?s=1?5pc,the H i density in the base is~25?130cm?3,and the pressure is(1?5)×103K cm?3.

The thermal pressure of the?laments in the R-C cloud is almost an order of magnitude larger than that expected for the CNM near the Sun,which is believed to be only P th~4000K cm?3(Wol?re et al.2003).While it is at?rst disconcerting to estimate pressures that are so far out of thermal equilibrium,these pressures are not exceptional.Jenkins&Tripp (2001)found that as much as25%of the neutral carbon bearing ISM has thermal pressures in the range P/k=103.5?4.0K cm?3and with a few percent having pressures larger than P/k=104.0K cm?3.In most areas of the ISM the thermal pressure is a small fraction of the total pressure.We can estimate the total pressure in the R-C cloud as P=σ2ρincluding both the thermal and turbulent motions,whereρis the mass density assuming10%Helium,ρ=1.4m H n H.Forσ≈1.5km s?1and an average number density of n H~460cm?4,the total pressure in the?laments is P/k~2×105K cm?3.Again the total pressure is about a factor of ten larger than total pressure(thermal plus all non-thermal components)for the general ISM in the midplane(Boulares&Cox1990).

3.1.2.Density and Pressure Caveats

It is worth taking note of some of the caveats to the density and pressure estimates given above.These estimates rely on assumptions made about T s,p,and?s.Our column density image assumes a constant spin temperature across the cloud.This is almost certainly not true,but in the absence of saturation in the H i pro?les it is not possible to solve for T s and τfor all positions.Letting T s vary randomly around the image about a mean40K with a variance of10K we found that the densities measured do not vary signi?cantly from those determined here.

The exact value of T s=40K assumed for the spin temperature has an e?ect on the densities and pressures derived.The cosmic microwave background sets an absolute mini-mum value for T s≥2.73K,which results in column densities about an order of magnitude smaller than those derived for T s=40K.Such a low spin temperature is highly unlikely in

almost all Galactic environments where the UV radiation?eld and cosmic ray heating raise

the temperature well above the CMB background.If we assume that T s=30K,which is

at the lower end of values estimated by previous authors,then the derived column densities

are a factor of~0.6smaller than for T s=40K.Values of T s>40K result in unde?ned

values ofτtowards regions where|?T|is large.

The assumed value of p can signi?cantly e?ect the derived optical depth and column

density.By assuming p=1we have minimized the optical depth for any given value of T s

and therefore minimized the densities and pressures calculated.In addition,values of p≈1

are most likely given the close proximity of the cloud.If we decrease p to an unlikely value

of0.8it has two main e?ects:?rst,the optical depth becomes unde?ned over large areas of

the map and second,the derived column densities are typically a factor of two larger than

for p=1.

Finally,the assumed cloud thickness has a large impact on the derived densities and

pressures.We have assumed a thickness for the?laments that is an order of magnitude

smaller than previous estimates by Crutcher&Lien(1984).However,Crutcher&Lien

(1984)used stellar absorption measurements at distances bracketing the cloud to estimate

its thickness.Those measurements did not have subparsec precision and they would not

have been able to exclude a thickness of less than1pc.At the other extreme,if we adopt

the Crutcher&Lien(1984)upper limit of?s=5pc for the?laments,the derived pressures

and densities will be a factor of?fty smaller than those derived for?s~0.1pc.This would

present a very unusual ribbon-like geometry for the R-C?laments,which we do not believe

is likely.

4.The Magnetic Field Structure

The?laments observed here,though curved,have virtually no wiggles.This taughtness

suggests that the gas structure may be dominated by some process other than turbulence,

such as a magnetic?eld.To explore this suggestion we have searched for the orientation of

the magnetic?eld associated with the R-C cloud.We used the Heiles(2000)compilation

of optical measurements of stellar polarization to determine the magnetic?eld direction.

From Heiles(2000)we extracted all stars at distances of less than2kpc in the region

?5?≤l≤+5?,?5?≤b≤+5?.To ensure reliable polarization angle measurements we further constrained the selection to stars with polarized intensity greater than1%of the

total intensity;56stars met the criteria.In Figure6we have overlaid polarization vectors

on the H i?T image of the R-C cloud at v=4.95km s?1.Vectors are shown at the position

of each polarized star,oriented with the polarization angle,1θp.The length of the vectors is

proportional to the measured fractional polarized intensity of the star,with a vector of5%

fractional polarization shown in the key at the bottom-left.In the regions covered by the

cloud there is a remarkable agreement between the orientation of the polarization vectors

and the direction of the cloud’s?laments.By contrast,in the area l≥?2?and b≤?3?

there is very little absorption associated with the cloud and these regions show disordered

polarization vectors.Referring only to the area covered by the cloud(l>?3?,b>?3?)the

mean polarization angle is θp =53?±11?.The polarization angle for polarization arising from polarization of background starlight is parallel to the magnetic?eld direction such that

the angle of the magnetic?eld,θB,also equals53±11?.

Stellar polarization measurements probe the magnetic?eld integrated along the line of

sight,which can lead to a superposition of structures in the observed vectors.Because we

initially included all stars out to2kpc distance it is also possible that the magnetic?eld

orientation observed is not associated with the R-C cloud,but located behind it.To test

this we examined only stars out to a distance of200pc and found that,although the sample

size is smaller,the mean polarization angle agreed with θp =53?to within the standard deviation of the full sample.This suggests that the dominant magnetic structure along this line of sight lies within200pc and the very good alignment with the R-C H i strands suggests that they are related.

5.Discussion

5.1.Magnetic Field Strength

Measurements of stellar polarization do not directly yield a measurement of the strength of the magnetic?eld.However,Chandrasekhar&Fermi(1953)suggested that the variance in an ensemble of polarization measurements can be used to estimate the strength of the ?eld.This method is often applied to measurements of starlight polarization due to dust (e.g.Andersson&Potter2006)and has been tested against theoretical MHD models by Heitsch et al.(2001)and Ostriker et al.(2001).The technique assumes that turbulence in the magnetized medium will randomize the magnetic?eld and that the stronger the regular ?eld is,the less it is disturbed by https://www.doczj.com/doc/1e9464875.html,ing the Chandrasekhar-Fermi(C-F)method, as modi?ed by Heitsch et al.(2001),the strength of the magnetic?eld in the plane of the

sky can be estimated as:

B 2=ξ4πρσ2v

ergs cm?3,(6)

?s

where?v is in km s?1and?s is in pc.Considering just the?laments of the R-C cloud, where N H~1×1020cm?2,?v~3.5km s?1,and?s≈0.07pc if the?laments are cylinders, then the kinetic energy density is K=3.7×10?11ergs cm?3.If the?laments are edge-on ribbons instead of cylinders then the kinetic energy density will be smaller.

If we approximate the?laments as cylinders of r=?s/2and length L,then the total gravitational energy is given by W=?GM2/L(Fiege&Pudritz2000)and the gravitational energy density is:

G=Gπ(1.4m H n H r)2,(7) For the R-C?laments,the gravitational energy density is G~3×10?15ergs cm?3.The

gravitational energy density is very small compared to the kinetic energy density;these ?laments are clearly not self-gravitating.

Finally,the magnetic energy density is M=|B tot|2/8π,where B tot≥B meas.Given negligible gravitational energy density,for the magnetic?eld to dominate the structure observed in the R-C cloud,M>K.For K~3.7×10?11ergs cm?3the magnetic?eld strength must be B tot>30μG.The agreement between the magnetic?eld strength derived assuming magnetic dominance and with the C-F method is surprisingly good.One can use this result and Eq.5to solve forξfor the R-C cloud.A?eld strength of>30μG implies that the correction factor,ξ,for this cloud should be>0.12.

To better understand the magnetic?eld of the R-C cloud we would also require mea-surements of the line-of-sight magnetic?eld strength.Most measurements of magnetic?elds in the CNM have been made using Zeeman splitting(e.g Heiles&Troland2005),which probes the line-of-sight component of the?eld.Heiles&Troland(2005)?nd a median CNM magnetic?eld strength of6.0±1.8μG over a wide range of Galactic environments.This is considerably lower than the values estimated here for the R-C cloud.It is important to note,however,that the density of the R-C cloud is larger than typical CNM values.In fact, the magnetic?eld strength estimated is more consistent with values obtained for molecular clouds with densities similar to that of the R-C cloud(Crutcher1999).However,for these measurements it is usually assumed that gravitational contraction compresses the magnetic ?eld lines leading to an increase in density and magnetic?eld strength.There is no evidence for such action in the R-C cloud and it is therefore curious that it should exhibit such a high magnetic?eld strength.

https://www.doczj.com/doc/1e9464875.html,ments on the Structure of the CNM

The structure of the cold neutral medium(CNM)is very di?cult to study.For many years we have harbored the notion that the CNM was distributed in isotropic clouds as described in the McKee&Ostriker(1977)paradigm.However,there is a fair amount of evidence against this model.For example,high resolution H i absorption measurements towards pulsars and radio galaxies?nd very small-scale variations in the H i that seem to require unreasonably high thermal pressures if we assume they are spherical.Heiles(1997) invoked geometry to explain this“tiny scale atomic structure”(TSAS),suggesting instead that these measurements probe cold gas in thin sheets viewed edge-on or?laments viewed end-on.Although the sheet or?lament description is appealing because of its resolution of the overpressure problem,it has not been readily adopted,owing largely to the lack of ob-servational evidence for counterparts aligned perpendicular to the line of sight.These sheets

or?laments are predicted to have very low column densities,rendering them unobservable (Heiles1997).There is evidence that on larger scales the CNM is indeed in large-scale?la-ments of sheets.In the few examples where we can image large areas of the CNM through H i self-absorption,such as in the CGPS and SGPS(Gibson et al.2005;Kavars et al.2005),the CNM seems extended,with complicated structure that is far from isotropic.H i absorption measurements towards closely separated continuum sources support this view with similar absorption components that suggest extended CNM clouds with aspect ratios~10?200 (Heiles&Troland2003).With our images we?nd that the cold medium of the R-C does not resemble the spherical clouds of McKee&Ostriker(1977)but instead is structurally much closer to the Heiles(1997)description of?laments.Our?laments di?er from those proposed by Heiles(1997)in that they are viewed side-on,rather than end-on.Although the size scales represented by the R-C cloud are more than two orders of magnitude larger than those observed in TSAS,the R-C cloud presents evidence that the CNM on small scales is structured in?laments with extreme aspect ratios.

https://www.doczj.com/doc/1e9464875.html,parison with Molecular Clouds

As much as60%of the H i self-absorption features observed in the inner Galactic plane have some association with molecular gas as detected by12CO emission(Kavars et al.2005). Comparing the H i data with data from the low resolution(30′)12CO survey(Dame et al. 1987),there is some indication for associated CO emission at high latitudes around v≈3.5 km s?1.Without CO data of comparable resolution to the H i it is di?cult to make a clear association between the H i self-absorption?laments and CO emission.Although CO emission in the dense base of the R-C cloud seems reasonable,CO emission in the?laments would be surprising.The?laments’column densities of~1×1020cm?2should account for only~0.05mag of visual extinction,which is below the extinction limit generally required to shield CO from photo-dissociation(van Dishoeck&Black1988).

Despite the lack of clear molecular emission in the?laments it may be informative to compare the?lamentary structure of the R-C cloud with that seen in molecular clouds. Kavars et al.(2005)suggest that gas probed by H i self-absorption may?ll the evolutionary gap between di?use atomic clouds and molecular clouds.The density of the R-C cloud ?laments,n~460cm?3is much higher than most H i self-absorption features(Kavars et al.2005)and indeed most of the CNM(Heiles&Troland2003),it is instead closer to the low end of molecular cloud densities(Crutcher1999).Morphologically,the R-C cloud is reminiscent of the structure observed in some molecular clouds.Molecular clouds have long been observed to have elongated?lamentary structure similar to that observed in the

R-C cloud.Good examples of?lamentary molecular clouds are the Taurus,ρOphiuchus and Orion molecular clouds,which show long molecular?laments with dense clumps along their lengths(e.g.Mizuno et al.1995;Falgarone et al.2001).Although it is not clear how ?lamentary structure develops in molecular clouds,it is expected that magnetic?elds play an important role in establishing and maintaining their structure.

Far-infrared polarization observations of?lamentary molecular clouds show that very often the polarization vectors are oriented either along or perpendicular to the?laments (Matthews&Wilson2000).This bimodal distribution has often been attributed to helical magnetic?elds that wrap around the?laments(Carlqvist&Kristen1997;Fiege&Pudritz 2000).However,reliably inferring the three dimensional magnetic?eld structure from plane-of-sky dust polarization measurements is di?cult.Some of the most promising evidence for helical magnetic?eld structure has come from Zeeman measurements of Orion A(Robishaw &Heiles2005),which show the?eld reversing direction on opposite sides of the?lament.

A fundamental di?erence between?lamentary molecular clouds and the R-C cold H i ?laments is that molecular clouds are in general self-gravitating.Depending on the?eld geometry the magnetic?eld in molecular clouds can provide crucial support against gravi-tational collapse.For example,for?elds aligned along the direction of elongation(poloidal ?elds)the magnetic?eld provides an outwards pressure to counter the gravitational con-traction.For helical?elds the situation is more complex with the net pressure e?ect at the surface of the cloud depending on the relative strengths of the poloidal and azimuthal com-ponents.For helical?elds where the azimuthal component dominates the magnetic pressure acts inwards.

For the R-C cloud the true con?guration of the magnetic?eld is crucial to de?ning the cloud life-time.It is also particularly di?cult to distinguish the?eld con?guration within the cloud from the con?guration of the ambient?eld from the stellar polarization alone.If the?eld within the?laments is poloidal or helical with a dominant poloidal component,as the observed polarization vectors suggest,then the magnetic?eld has the e?ect of increasing the total pressure.The over-pressurized?laments should be short-lived with radial crossing times on the order of4×104yr.If,on the other hand,the?eld within the?laments is actually helical and has places where the azimuthal?eld dominates,then the magnetic pressure may stabilize against the thermal pressure and could even lead to collapse and fragmentation of the?laments.Unfortunately it is impossible to infer the true internal magnetic?eld con?guration from the starlight polarization data of these multiple superimposed?laments. Zeeman measurements of the line-of-sight magnetic?eld component are needed to understand the dynamical future of the R-C cloud.

6.Conclusions

We have presented new high resolution H i self-absorption images of part of the Riegel-Crutcher(R-C)cold cloud at a distance of125pc in the direction of the Galactic center. These images,which are part of the SGPS Galactic Center survey,cover the area?5?≤l≤5?,?5?≤b≤5?with an angular resolution of100arcseconds.The data reveal extraordinary

?lamentary structure within the R-C cloud.The cloud seems to be composed of a network of aligned narrow?laments that merge into a smooth mass at the upper left of the cloud. The?laments are very elongated,with the most extreme example only0.07pc wide and over 16pc https://www.doczj.com/doc/1e9464875.html,ing saturated absorption pro?les in the cloud we estimate a spin temperature for the cloud of T s~40K,which is similar to values previously estimated by Crutcher& Riegel(1974)and Montgomery et al.(1995).Adopting a spin temperature of40K for the entire cloud we created images of the optical depth and column density of the cloud,?nding an average column density of~2×1020cm?2.If the individual?laments of the cloud are approximated as cylinders,then their average thermal pressure is~2×104K cm?3.

From measurements of the polarization of starlight from Heiles(2000)we have shown that the?laments in the R-C cloud are aligned with the magnetic?eld of the https://www.doczj.com/doc/1e9464875.html,ing the Chandrasekhar-Fermi method we have roughly estimated the magnetic?eld strength to be~60μG.By comparing ratios of gravitational,kinetic and magnetic energy densities we show that the?laments are not self-gravitating.We suggest that the excellent alignment between the?laments and the magnetic?eld,as well as the straightness of the?laments,is evidence that the magnetic?eld dominates over thermal and turbulent motions within the cloud.For the magnetic energy density to exceed the kinetic energy density the magnetic ?eld must be>30μG.Given the uncertainties associated with the Chandrasekhar-Fermi method the two?eld strengths are fully consistent.

Directly imaging the structure of the CNM is always di?cult.The R-C cloud,because it is in front of the bright,high column density H i background towards the Galactic center, provides us with a unique opportunity to directly image the CNM.In this case the CNM appears highly?lamentary and most closely resembles the high aspect ratio?laments sug-gested by Heiles(1997)to explain Tiny Scale Atomic Structure.There is no reason to believe that the structure of the R-C cloud is unique,it may in fact be typical for the CNM.We point out that there are morphological similarities between the R-C cloud and?lamentary molecular clouds,which are also characterized by strong magnetic?elds.If gas traced by H i self-absorption is either a precursor to molecular gas or formed from dissociation of molecular clouds the morphological similarity is not surprising.

The Parkes Radio Telescope and the Australia Telescope Compact Array are part of

the Australia Telescope which is funded by the Commonwealth of Australia for operation as a National Facility managed by CSIRO.MH acknowledges support from the National Radio Astronomy Observatory(NRAO),which is operated by Associated Universities Inc., under cooperative agreement with the National Science Foundation.The authors thank an anonymous referee for insightful and interesting questions and suggestions.

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Table1.SGPS Galactic Center ATCA Observations

Dates Array Con?guration

a Make-up session.

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