Dark Matter and Galaxy Formation

K.C. Freeman, PASA, 14 (1), 4.

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Low Surface-Brightness Gas-Rich Galaxies

Low surface brightness (LSB) HI-rich galaxies will probably be discovered in significant numbers in the multibeam survey. I believe that these gas-rich LSB galaxies are astrophysically very interesting and, in this section, I will attempt to intepret them in terms of an argument due to Fall (see Fall 1985).

The collapse of a disk within a dark corona

In simulations of the growth of density fluctuations in the expanding universe (eg Zurek et al. 1988), blobs of matter acquire angular momentum from each other by tidal torques. Say a blob of matter (dark + gas) has a mass M, energy E and angular momentum J. The parameter tex2html_wrap_inline325 is dimensionless and is a measure of the ratio (rotational velocity)/(virial velocity) for the blob. For disks in centrifugal equilibrium, tex2html_wrap_inline327. These cosmological simulations give mean values of tex2html_wrap_inline329 for identifiable galaxy-sized objects, almost independent of the mass of the blob, its density, initial overdensity, and the adopted fluctuation spectrum.

In a simplistic version of the present view of disk galaxy formation, the gas in the blob settles by dissipation into centrifugal equilibrium within the dark matter distribution. Let the gas and the dark matter be initially well mixed and have similar specific angular momentum J/M. Then the gas needs to dissipate (conserving its J) to form an equilibrium disk with tex2html_wrap_inline327, having started with tex2html_wrap_inline337. We can estimate the collapse factor in terms of the initial tex2html_wrap_inline339. Say the dark matter has an tex2html_wrap_inline341 density distribution, truncated at some radius tex2html_wrap_inline343, and let its constant circular velocity be V. From the virial theorem, it follows that the halo has tex2html_wrap_inline347. Now assume that the gas settles to an exponential disk with scalelength tex2html_wrap_inline349, in centrifugal equilibrium in the potential of the halo, so the disk has tex2html_wrap_inline351. Then if tex2html_wrap_inline353, it follows that the collapse factor
equation55
For our Galaxy, tex2html_wrap_inline355 kpc (eg Freeman 1987), so the truncation radius tex2html_wrap_inline357 of the halo should be about 120 kpc: this is entirely consistent with the observed extent of the galactic dark halo (eg Freeman 1996).

Hightex2html_wrap_inline359 galaxies

The observed distribution of the tex2html_wrap_inline339 values in simulations has a mean of about 0.05 with a tail extending up to about tex2html_wrap_inline363 (e.g Zurek et al. 1988). From equation (3), the collapse factor tex2html_wrap_inline365, so the mean surface density of the gas in the equilibrium disk tex2html_wrap_inline367. A typical galactic disk now has a surface density tex2html_wrap_inline369 Mtex2html_wrap_inline269 pctex2html_wrap_inline373 at tex2html_wrap_inline375, so a hightex2html_wrap_inline359 disk with say tex2html_wrap_inline363 would have a much lower surface density, tex2html_wrap_inline381 Mtex2html_wrap_inline269 pctex2html_wrap_inline373. The threshold surface density for massive star formation is believed to be about 5 to 10 Mtex2html_wrap_inline269 pctex2html_wrap_inline373 (e.g. Kennicutt 1989), so one might expect hightex2html_wrap_inline359 galaxies to have low surface density, with star formation suppressed and confined to the higher density inner regions. The typical HI surface densities in gas-rich LSB galaxies (giants and dwarfs) are in the range (2 to 5) Mtex2html_wrap_inline269 pctex2html_wrap_inline373.

Some low surface brightness HI-rich galaxies

Here are some examples of LSB HI-rich galaxies, both giants and dwarfs. Table 1 gives dynamical and structural parameters (radial velocity in km tex2html_wrap_inline253 or distance in Mpc estimated from the brightness of resolved objects in the nearby dwarfs NGC 2915 and DDO 154; central surface brightness in B mag arcsectex2html_wrap_inline373; HI line width in km tex2html_wrap_inline253; absolute magnitude; exponential scalelength in kpc for the luminous component). NGC 5084 is a recent addition to the list of likely LSB gas-rich giants. It is an edge-on galaxy with a faint, extended disk and a very large HI line width. Its disk would be about 3 mag fainter in surface brightness if it were seen face-on, and would probably be undetected. We note that

  1. all of these galaxies were discovered optically, by their brighter central regions.
  2. the Tully-Fisher law breaks down for these systems, as one might expect.
  3. the two dwarfs have very large HI diameters: their (HI diameter)/(Holmberg diameter) tex2html_wrap_inline407.

TABLE 1: DYNAMICAL AND STRUCTURAL PARAMETERS FOR LSB GALAXIES

tabular72
Table 2 gives the integrated mass and blue M/L ratio out to the outermost rotation point, and the total HI mass and HI mass to light ratio (all in solar units). We note that

  1. the total M/L ratios for these systems are much larger than the usual M/L = 3 to 5 for spiral disks. Although their low surface brightness disks may give them a fragile appearance, they are in fact no more fragile than other disk galaxies, because the dark matter dominates in their outer regions.
  2. the giant LSB gas rich galaxies are detectable with the multibeam system out to redshifts of 7000 to 14000 km tex2html_wrap_inline253 with 5 minute integrations.
  3. dwarf systems like NGC 2915 are detectable out to about 3000 km tex2html_wrap_inline253 in 5 minutes.

TABLE 2: MASSES AND M/L RATIOS FOR LSB GALAXIES

tabular88
Briggs (1990) has argued that there could be tex2html_wrap_inline471 giant LSB galaxies with Mtex2html_wrap_inline473 Mtex2html_wrap_inline269 nearer than the prototype object Malin 1. Although the LSB galaxies in Tables 1 and 2 were discovered optically because they have bright central regions, it is possible that there are undiscovered giant LSB galaxies which are dark or almost dark. If they exist and contain HI in masses similar to the giants in the Tables, then the multibeam survey should detect them.


Next Section: Small HI Clouds in
Title/Abstract Page: Dark Matter and Galaxy
Previous Section: Intergalactic Clouds
Contents Page: Volume 14, Number 1

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