In this section we will describe the photometric data available and how we use this to obtain realistic estimates of the mass of the stellar populations in the target galaxies.
For most of the galaxies we have extensive optical and near infrared images and, in addition, photo-electric photometry (Bergvall & Olofsson 1986; Bergvall & Olofsson private correspondence). These data have been collected at the ESO telescopes on La Silla. The available photometry for each galaxy is shown in Table 2.
The luminosity profiles have been derived by integrating in
elliptical rings, using the same position angle and inclination as
derived from the kinematical data. The luminosity profile software
was written in Uppsala and is described in Bergvall & Östlin
(2001), where the photometric properties of several of
the galaxies in the present study is discussed at length.
The luminosity profile of a galaxy traces the spatial distribution of its stars. In the ideal case of a uniform stellar population with no extinction, the surface brightness directly reveals the stellar mass density. However if the mass to luminosity ratio of the stellar population varies, e.g. due to star formation, there will be no simple relation between the observed luminosity distribution and the real mass distribution of stars.
In BCGs this problem is serious because, in general, the starburst population dominates the emission of light, but not the mass. Furthermore, since the fraction of old stars is a priori unknown (especially in the starburst region) and the starburst has a rapid luminosity evolution, the mass to light ratio of the stellar population is very uncertain and varies with galacto-centric distance. In general, the starburst region is close to the optical centre of a BCG. In the outskirts M/Lmay be above one, while in the youngest region of the burst it should be much lower. To make progress we have taken the following approach.
By looking at the radial colour profiles, we determine the extent of the starburst. In the outskirts the colours are stable (see Fig. 1), indicating that the assumption of a homogeneous stellar population is plausible here. Therefore, the luminosity profile of each galaxy was decomposed into two components, a disk and a burst. The disk component has little or no colour gradient and is interpreted as the underlying, older, population. It has been produced from an exponential fit to the luminosity profile (usually in the V-band) at radii where the colours were stable, and, if possible, comparable to the radius of the last measured point in the rotation curves. In all cases, an exponential law provides a good fit to the data at these radii. The residual after subtracting the disk component, we call the burst component. The true photometric structure of the galaxies at larger radii may be more complicated (Bergvall & Östlin 2001), but this is not of concern here since we are only interested in estimating the mass of the stellar population within the extent of the rotation curves. An example of the photometric decomposition is shown in Fig. 1. Note how the colours stabilise at the same radius as the disk takes over from the burst as the main contributor to the emitted light. This is the typical situation in the sample studied here. A representative choice of colour indices for the disk and the subtracted burst components are shown in Table 2. Multi-wavelength colour profiles for all galaxies, except ESO 185-13 and Tololo 0341-407, are presented in Bergvall & Östlin (2001).
BCGs in general have low internal extinction (e.g. Mas-Hesse & Kunth 1999),
which probably is a consequence of low chemical abundances and selection
criteria that favour galaxies with blue colours.
The central E(B-V)
values derived spectroscopic observations of the HH
ratio
and Case B recombination are given in Table 2. In some cases, these
could be overestimated due to underlying Balmer absorption from young A-type
and old stars. Long slit spectra (Bergvall & Östlin 2001)
indicate that the H
H
ratio decreases with radius.
Moreover, investigations including the UV-continuum suggest that the emission
lines are more heavily reddened than the stellar
continuum (Calzetti et al. 1994; Mas-Hesse & Kunth 1999). Hence,
applying the E(B-V) values in Table 2 throughout would overestimate
the internal extinction. We have used the values given in Table 2
for the central of the galaxies and assumed that the extinction coefficient
scales with the thickness of the disk, i.e. the surface brightness. In effect,
the adopted extinction for the burst component is close to the values given in
Table 2, whereas the extinction for the disk component is significantly
smaller. In any case, the reddenings in Table 2 are small and the
uncertainty in the disk E(B-V) values do not seriously affect the derived
photometric masses, as we argue below.
![]() |
Figure 1: Radial luminosity and colour profiles for ESO338-IG04. The upper panel shows the V-band surface brightness (uncorrected for inclination): the total luminosity profile is shown as a solid line, the fitted disk component is shown as dotted line, and the burst component is shown as a dashed line. The lower panel shows the radial V-J, B-R, and V-I colour profiles, where B,V and J are in the Johnson system, and R and I in the Cousins system. The optical and the near infrared data has been obtained at La Silla with NTT+EMMI and 2.2 m+IRAC2, respectively (see Bergvall & Östlin 2001). |
We use a spectral evolutionary synthesis model in combination with colour profiles in the optical and near infrared to estimate the mass-to-light ratios of the galaxies. The model used has been developed by Bergvall and is described in Bergvall & Rönnback (1995), Östlin et al. (1998) and Bergvall & Östlin (2001). Briefly, it is based on stellar evolutionary tracks from the Geneva group (Schaller et al. 1992), mostly Kurucz (1992) model atmospheres, and a nebular emission component from Cloudy (Ferland 1993). Moreover, pre-main sequence stage evolution from VandenBerg (1985; private correspondence 1986), and horizontal branch and AGB stages up to the onset of thermal pulsations from Castellani et al. (1991), have been included. Empirical data are used to extend the evolution to the tip of the AGB. Most of the galaxies have determined nebular oxygen abundances, which are close to 1/10th of solar (Bergvall & Östlin 2001; Masegosa et al. 1994). This value was therefore used for the stellar and gaseous components in the spectral evolutionary synthesis model. The used model parameters are summarised in Table 1.
The model also calculates M/LV, the V-band mass to light ratio for the stellar population. This includes the mass of stellar remnants, and the gas returned to the interstellar medium. Counting only the mass of stars and remnants would result in slightly lower M/L values. What matters is to what extent the returned gas is used for new star formation. Since these galaxies have low metallicity their ISM are not heavily polluted and the returned gas will be diluted before any of it is taken up in new stars. Hence it is justified to include the returned gas in the mass budget for calculating M/L.
The models by Bergvall, described in Table 1, were complimented with models produced with the PEGASE.2 code (Fioc & Rocca-Volmerange 1999), to check consistency and to further explore the parameter space. In particular, models with shorter star formation time-scales (instantaneous burst and e-folding times of 10, 30 and 100 Myr) were used to constrain the properties of the central "burst'' regions.
|
2.0, 2.35 and 2.70 |
Lower mass limit
![]() |
0.1 and 1.0 ![]() |
Upper mass limit
![]() |
30 and 100 ![]() |
Burst duration ![]() |
50 and 16000 Myr |
SFR e-folding time ![]() |
0 and 3 Gyr |
Metallicity |
![]() |
Galaxy | E(B-V) | Photometry | Disk/Burst colours | Disk colour |
![]() |
![]() |
![]() |
![]() |
(1) | (2) | (3) | (4) | (5) | (6) | (7) | (8) | (9) |
ESO 350-38 | ![]() |
BVRIJHK | B-V = 0.5 / 0.3 | V-J = 1.9 | 3.0 | 2.0 | 6.0 | 0.05 |
ESO 480-12 | ![]() |
BVRIJHK | B-V = 0.3 / 0.0 | V-J = 1.6 | 2.3 | 1.6 | 3.6 | 0.06 |
ESO 338-04 | ![]() |
BVRIJHK | B-V = 0.3/ 0.2 | V-J = 1.7 | 3.0 | 2.1 | 3.8 | 0.05 |
ESO 338-04B | ![]() |
VIJHK | V-I = 0.7 / 0.0 | V-J = 1.6 | 3.4 | 2.5 | 6.0 | 0.10 |
ESO 185-13 | ![]() |
UaBaVRIa | V-R = 0.4 / 0.2 | 2.2 | 1.0 | 6.0 | 0.08 | |
ESO 400-43 | ![]() |
BVRIJHK | B-V = 0.9 / -0.2 | V-J = 1.6 | 3.1 | 2.2 | 6.5 | 0.06 |
ESO 400-43B | ![]() |
BVaRIaJHK | B-R = 0.8 / 0.4 | B-J = 2.3 | 3.0 | 1.0 | 4.0 | 0.10 |
Tol 0341-403E | ![]() |
R | 3.0: | 1.0: | 6.0: | 0.03 | ||
Tol 0341-403W | ![]() |
R | 3.0: | 1.0: | 6.0: | 0.05 |
Description of column contents: (1) Name of galaxy.
(2) The central E(B-V) derived from spectroscopy. The source is Bergvall & Östlin
(2001), except for ESO 185-13 (Calzetti et al. 1994) and Tololo 0341-403
(Terlevich et al. 1991). For E338-04B no spectroscopic E(B-V) was available and we used
the same value as for ESO 338-04, and flagged it with a colon (:).
(3) Available photometry. Entries with superscript a indicates
that for this filter only aperture photometry is available.
(4) Representative optical colours for the disk and burst regions, corrected for extinction
(see Sect. 2.2). B and V are in the Johnson filter system, R and I in the Kron-Cousins
filter system. Typical errors are 0.1 or less for the disk, and slightly larger for the burst components.
(5) Representative optical-near infrared colour for the disk components, errors 0.2-0.3.
(6) shows the best fitting M/LV values (in solar units) for the disk component.
(7) and (8) show the 3
upper and lower limits on the disk M/LV, respectively.
The uncertain M/LV values for Tololo 0341-403 are indicated with colon, see text for
further explanation.
(9) Best fitting M/LV estimate for the burst component.
The ensemble of model predictions characterised in Table 1 were
compared to the observed broad-band colours of the galaxies. The colours of
the disk and burst components where modelled separately.
Taking the observational uncertainties
into account, we determine which models reproduce the disk colours
within
and read off their M/L value.
Some models were discarded because they give unreasonable M/L values at
certain ages, e.g. short burst
models with lower mass limit
and ages larger than
a few Gyr. Such models are in any case not very realistic.
Apart from this, the best-fitting M/L is generally well defined, as is
also the minimum allowed M/L value. The upper limit to the M/L value
is generally less well constrained.
In many cases there is a "good degeneracy'', in the sense that while
the best fitting age is sensitive to the choice of model parameters,
the corresponding M/L values are very similar. We illustrate this
with the following example: Compared to a standard
model, a model with a steeper
IMF, will for each
time-step have redder colours and higher M/L. Fitting a galaxy's
colour to this steep IMF model will produce a lower age, and this will
to first order compensate for the change in M/L. The same effect occurs
if one varies the metallicity. Similarly, increasing the
assumed E(B-V) value decreases the modelled age and M/L but this
effect is to a first order compensated by the increasing amount
of absorbed emission to correct for.
In this paper, we have only considered single power-law IMFs. The use
of broken power-law IMFs with two or more segments (e.g. Miller & Scalo 1979;
Kroupa et al. 1993; Scalo 1986, 1998) could decrease the modelled M/L
values somewhat, up to a factor of 2 at large ages. Hence, if the IMF
in our galaxies has a flatter low mass range, the real M/L values would
approach the lower limits given in Table 2. On the other hand, the
possible extension of the IMF to objects with sub-stellar masses would
increase M/L by 10% for an IMF with relatively flat slope
in the regime below 1
.
In general, models with
,
,
and a continuous but exponentially decaying
(
Gyr) star formation rate give the best fit to the
observed colours of the disk component. The best fitting ages are
found between 2.5 and 8 Gyr for the different galaxies (between 1 and
16 Gyr considering the lower and upper 3
limits). Of course
there might be even older components present, that however cannot make
a significant contribution to the mass within the modelled radii. The
age of the halo stellar populations is further discussed in Bergvall
& Östlin (2001). The resulting M/L values for
the disk component are shown in Table 2. For ESO185-13, we
have only optical surface photometry in V and R and no near-IR data
and consequently its
values are less certain.
For one galaxy
(Tololo 0341-407), we did not have multicolour data, and instead we used
the median value
for the other galaxies, and the extreme of
and
for the allowed range;
these values are flagged with a colon (:) in Table 2.
It was more difficult to constrain the M/L values for the burst
components, since there is a large dependence on model parameters and
strong colour gradients. Moreover, ionised gas emission is important
and may be non-local, i.e. the emitting gas is displaced with respect
to the ionising source and e.g. found in filaments (Östlin et al.
1998). The contribution of line and continous emission from ionised gas
has the effect of making the burst colours presented in Table 2
redder. Part of the difficulty may arise because the burst population
is not completely coeval, but includes a mix of stars with ages
differing up to several 10 Myrs. For the burst, we used also the observed
H
equivalent-widths to constrain its age and M/L. We were able to
constrain that in all cases
0.01 < M/L < 0.2, except when using a very
steep IMF (
), which however gives worse fits to the data.
We have used the values given in Table 2 as our estimates for the burst,
with a generous allowed interval of M/L=0.01 to M/L=0.4, common for
all galaxies. Within
this range in M/L, the burst always make a minor contribution to the
total photometric mass.
With the aid of the spectral synthesis code described in Sect. 2.2, the integrated H
luminosities have been used to derive
the total star formation rates in the observed galaxies. For a Salpeter
IMF with mass range
,
and with
in Watts,
the SFR expressed in
is:
Together with the photometric and rotational mass estimates the integrated SFR estimates can be used to derive mass averaged values. In Table 4 we give the SFR normalised to the photometric galaxy masses. The normalisation using rotational mass would in some cases (when there is an apparent dynamical mass deficiency) overestimate the mass averaged SFR, and this quantity is not presented explicitly.
The inverse of the mass averaged SFRs also provide
,
the time
scale for building up the observed photometric mass in stars with the
current SFR. In general,
is close to 1 Gyr, meaning that the
current SFR is one order of magnitude larger than the average past SFR.
Thus, these galaxies are true star bursts in the sense that their SFR
is an order of magnitude higher than what is sustainable over a Hubble
time. Note that the modelling in Sect. 2.3 indicate ages of several Gyrs
for the underlying populations. For the two companions we find larger
values of
.
In the eastern component of Tololo0341-407
Gyr, indicating a momentary very enhanced SFR,
although its photometric mass is quite uncertain.
Similarly, we can define
,
the time scale for
building up the observed burst mass. Hence
gives an order of
magnitude estimate of how long the present burst has been active. Values
of
are given in Table 4. If the SFR has passed its peak,
will overestimate the burst duration. In ESO338-IG04 we find
Myr, in good agreement with the burst duration derived
from the age distribution of young star clusters resolved with the HST
(Östlin et al. 1998).
Since we corrected for extinction in deriving
and
,
but not when deriving the SFR, the timescales
and
may be slightly overestimated, by up to a factor of two.
Another time scale can be constructed for those galaxies where
the H I content is known, i.e. the gas consumption time scale.
All galaxies in the sample have determined H I-masses or upper limits.
The gas consumption time scale ranges from the extreme value of 5 Myr
(sic) for ESO350-IG38 (which has an upper limit of
,
but see Sect. 4.1) to
3 Gyr for the companion of
ESO400-G43. All BCGs have gas consumption time-scales smaller than 1 Gyr,
showing that the present SFRs are unsustainable.
Galaxy | R | Disk | Burst |
![]() |
![]() |
![]() |
![]() |
Note |
kpc | MV | MV |
![]() |
![]() |
![]() |
![]() |
||
(1) | (2) | (3) | (4) | (5) | (6) | (7) | (8) | (9) |
|
6.0 | -19.3 | -20.4 | 13 -4.4+13 | 0.64 -0.51+4.5 | 13.9 -4.9+18 | 0.87 -0.60+2.1 | ![]() |
'' | 0.4 | -15.8 | -15.4 | 0.51 -0.17+0.51 | 0.006 -0.005+0.050 | 0.52 -0.18+0.56 | 0.60 -0.40+0.90 | ![]() |
'' | 5.2 | -19.2 | -20.4 | 13 -4.2+13 | 0.64 -0.52+4.5 | 13 -4.7+17 | 1.6 -1.1+3.2 | DVF: 1st comp. |
'' | 1.0 | -17.3 | -18.1 | 2.1 -0.7+2.1 | 0.078 -0.062+0.54 | 2.1 -0.75+2.6 | 1.3 -0.90+5.6 | DVF: 2nd comp. |
ESO 480-IG12 | 5.9 | -18.4 | -19.2 | 4.6 -1.4+2.6 | 0.25 -0.21+1.4 | 4.8 -1.6+4.0 | 17 -8.2+17 | ![]() |
ESO 338-IG04 | 2.5 | -17.3 | -19.0 | 2.2 -0.65+0.58 | 0.17 -0.14+1.2 | 2.3 -0.80+1.8 | 0.57 -0.50+1.8 | masked ![]() |
'' | 1.9 | -17.0 | -19.0 | 1.6 -0.5+0.4 | 0.17 -0.14+1.2 | 1.8 -0.62+1.6 | 0.86 -0.70+2.0 | masked ![]() |
ESO 338-IG04B | 3.6 | -17.7 | -16.4 | 2.8 -0.75+2.2 | 0.032 -0.03+0.10 | 2.9 -0.78+2.3 | 5.7 -2.9+6.0 | ![]() |
ESO 185-IG13 | 3.8 | -18.7 | -18.7 | 5.6 -3.1+9.7 | 0.21 -0.18+0.85 | 5.8 -3.3+11 | 1.5 -0.90+1.9 | ![]() |
ESO 400-G43 | 10.9 | -19.2 | -20.0 | 12 -3.4+13 | 0.52 -0.43+2.9 | 12 -3.9+16 | 0.29 -0.20+0.70 | ![]() |
'' | 5.7 | -18.9 | -20.0 | 9.9 -2.9+11 | 0.50 -0.42+2.9 | 10 -3.3+14 | 0.66 -0.50+1.1 | Both |
'' | 1.1 | -16.9 | -18.2 | 1.6 -0.46+1.7 | 0.094 -0.078+0.53 | 1.7 -0.54+2.3 | 0.60 -0.30+0.70 | ![]() |
ESO 400-G43B | 4.8 | -17.9 | -18.1 | 3.6 -2.4+1.2 | 0.15 -0.14+0.46 | 3.8 -2.6+1.7 | 3.3 -1.5+2.1 | ![]() |
Tololo 0341-403E | 1.6 | -14.6 | -15.9 | 0.17 -0.12+0.17 | 0.006 -0.004+0.073 | 0.18 -0.12+0.25 | 0.17 -0.1+0.5 | Both |
Tololo 0341-403W | 1.9 | -15.6 | -16.5 | 0.43 -0.29+0.43 | 0.018 - 0.014+0.12 | 0.45 -0.30+0.56 | 0.26 -0.20+0.50 | Both |
Description of column contents: (1) Name of galaxy
(2) Radius (in kpc) within which the properties in Cols. 3 to 8 have been evaluated.
(3) Absolute V-band magnitude of disk component.
(4) Absolute V-band magnitude of burst component.
(5) Estimated photometric mass of the disk component.
(6) Estimated photometric mass of the burst component.
(7) Total photometric mass of the disk+burst component.
(8) Rotational mass. The quoted uncertainties reflect the uncertainty in: the
parameter f, the inclination and the rotational velocity, see Paper I.
(9) Comments: for some galaxies we present mass estimates at more than one radii,
corresponding to certain features in the rotation curve (see Paper I).
"'' and "
'' means that the mass was evaluated at the last measured
point in the rotation curve, and at the radius of maximum velocity, respectively.
"Both'' means that the mass was evaluated at the last point where both
the approaching and receding sides could be measured.
For ESO350-38 we present mass estimates obtained both from the model
decomposing the velocity field into two dynamical components (DVF) and
for the "raw'' velocity field. For ESO338-04 some points in the velocity
field had to be masked in order to at all be able to derive a rotation curve.
NB: for all entries, the quoted uncertainties represent the maximum expected
deviation, i.e. rather 3-sigma than 1-sigma deviations.
Galaxy | SFR |
![]() |
M/L26 |
![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
10-9 yr-1 | Gyr | Myr | kpc | kms-1 |
![]() |
||
(1) | (2) | (3) | (4) | (5) | (6) | (7) | (8) | (9) | (10) |
|
18.5 | 15.5 | 0.87 | 1.19 | 0.84 | 34 | 2.6 | 81 | 18.8 |
ESO 480-IG12 | 4.1 | 5.3 | 0.83 | 0.77 | 1.29 | 60 | 2.6 | 51 | 7.7 |
ESO 338-IG04 | 3.2 | 4.0 | 0.85 | 0.80 | 1.24 | 53 | 2.2 | 43 | 4.6 |
ESO 338-IG04B | 0.3 | 3.2 | 2.53 | 0.08 | 12.1 | 120 | 1.7 | 29 | 1.6 |
ESO 185-IG13 | 5.4 | 7.1 | 1.21 | 0.76 | 1.32 | 40 | 2.0 | 40 | 3.7 |
ESO 400-G43 | 11.3 | 12.7 | 1.07 | 0.89 | 1.12 | 45 | 3.1 | 49 | 8.3 |
ESO 400-G43B | 1.3 | 4.9 | 1.52 | 0.27 | 3.70 | 110 | 2.6 | 34 | 3.4 |
Tololo 0341-403E | 1.3 | 0.3 | 0.98 | 4.38 | 0.23 | 5 | 1.6 | 34 | 2.1 |
Tololo 0341-403W | 0.9 | 1.0 | 1.43 | 0.90 | 1.11 | 19 | 2.2 | 36 | 3.3 |
Description of column contents: (1) Name of galaxy. (2) Star formation rate (SFR)
derived from the integrated H
luminosity, uncorrected for internal extinction.
(3) Integrated (disk+burst)
photometric mass within the
mag/arcsec2 isophote. (4) Integrated V-band mass
to light ratio within
mag/arcsec2. (5) SFR per unit (photometric)
mass of the galaxy. (6) Inverse of
,
giving the time-scale
for building up
with the current SFR. (7) Time scale for accumulating
the observed burst mass with current SFR. (8) Effective (half-light) radius of the
disk component. (9) Integrated H
line-width. (10) Mass inferred from the
H
line-width.
![]() |
Figure 2:
Comparison of the photometric and dynamical (rotational)
masses. The X-axis shows the logarithm (base 10) of the derived
photometric mass in units of ![]() ![]() |
Photometric masses were derived by integrating the luminosity profiles for the disk and burst components and using their corresponding M/L values. The photometric masses were evaluated at radii taken from characteristics in the rotation curves (e.g. the last measured point or the radius of maximum velocity) to enable comparison with the kinematical mass estimates. In general, the luminosity profiles were integrated out to a radius corresponding to the last point in the rotation curve. In Table 3, we provide the photometric mass estimates, with their lower and upper limits. We also provide the dynamical mass estimate from Paper I, with the lower and upper limits (taking into account the uncertainty in inclination, the intrinsic dispersion, the uncertainty in the parameter f and the difference between different rotation curves or decomposition-models for the individual galaxies). In general, estimating the mass from the rotation curve will underestimate the dynamical mass since most likely these galaxies are not pure rotators. Random motions of the gas could provide significant dynamical support for our BCGs as indicated by their line widths (Table 4). For rotation curves with low amplitude and for the central regions, the contributions from velocity dispersion may dominate over the rotational component (however, see Sect 2.7).
For some galaxies there are several entries in Table 3. This may be the case e.g. when the rotation curve is not monotonously rising, or when there are several dynamical components. In those cases the rotational masses are derived for the relevant radius in question and the photometric mass is given for the same radius. For instance, for ESO350-IG38 we present mass estimates for the last point in the rotation curve, for the maximum rotational velocity and for the two components in the decomposed velocity field (see Paper I). In Fig. 2, the photometric and rotational mass estimates are compared (for reasons of clarity we plot only one point for each galaxy).
In all cases, except for one of the companions, the burst component
dominates the optical luminosity (see Table 3). However, the integrated
burst mass only makes up 2 to 5% of the total photometric mass. In
Table 4, we give
,
the photometric masses integrated out to the
mag/arcsec2isophote. This should be close to the total photometric masses, as
the disk component outside these radii should contribute only on the
order of one percent of the total mass if the M/L values are similar.
In Table 4, we also present M/L26, the global mass to light ratio,
derived from
and the integrated disk+burst light within
the corresponding radius.
From Table 3 and Fig. 2 one sees that ESO480-IG12 and ESO338-IG04B are examples in which dark matter is needed within the extent of the rotation curves. In ESO400-IG43B, Tololo0341-403E and Tololo0341-403W the photometric and rotational masses are in good agreement.
ESO350-IG38, ESO338-IG04, ESO185-IG13 and ESO400-IG43 present a deficit in
the rotational mass estimates, as compared to the photometric mass.
This result can be
understood if the systems are not primarily rotationally supported or
if the rotation curve does not reflect potential motions, either because
the dynamics are not relaxed or if the H
emitting gas is not
moving like the stars, even on a large scale. The latter is not so likely
although the H
velocities are probably also affected by winds
and expanding bubbles. To settle this definitely, the stellar velocity
field must be compared with that of the ionised gas. The case of
ESO338-IG04 is a clear example of a non-relaxed system in which such a
discrepancy between the two mass estimates does exist.
The photometric mass scales with
h75-2, whereas the rotational
mass (
)
scales as
h75-1. Hence, the "mass
deficiency'' apparent in some galaxies gets worse with lowering of the Hubble
constant from the adopted value of 75 kms-1/Mpc.
Terlevich & Melnick (1981) showed that giant H II-regions display a
positive correlation between radius, the H
luminosity and the
H
emission line width. They have argued that this reflects an
underlying mass relation and that the H
line width traces virial
motions. This is somewhat surprising since one expects also other
processes, such as SNe feedback, to contribute to the emission line widths.
H II galaxies (galaxies with H II region like spectra, i.e.
BCGs) seems to follow the same relation, suggesting that they are
scaled up versions of giant H II-regions (Melnick et al. 1987). This
also makes it possible to use H II galaxies as standard
candles to probe cosmological parameters like the H0 and
(Melnick et al. 1988, 2000).
If the Balmer emission line widths indeed reflect virial motions, they
may be used to derive the dynamical mass of a galaxy. In Table 4, we
provide,
,
the effective radii of the disk components and
,
the measured H
line-widths (
). The
values are the average line-widths where
each pixel is weighted by its H
intensity.
They were derived from the velocity dispersion maps
rather than from
the integrated profiles. Hence the line widths given in Table 4 are not
influenced by the overall rotation of the galaxies. The mass which can be
supported by velocity dispersion,
,
was estimated from
,
(Guzmán et al. 1996; Bender et al. 1992). With
in
,
in kpc, and
in kms-1, this becomes:
The interesting point is that, for the galaxies which present a
deficit in the rotational mass estimate, we can solve the mass
discrepancy by invoking that these systems are suported by velocity
dispersion instead of rotation. This can be seen by comparing and
in Table 4. However, this does not solve the problem
of why some of our galaxies have such strangely shaped rotation curves,
e.g. rapidly declining, as for ESO350-IG38 and ESO400-G43. In general, the
mass discrepancies occur outside the centre, which dominates the measured
line widths. The ultimate test of the importance of the underlying gravitational
potential on the H
line widths would be to derive the stellar velocity
dispersion.
Kobulnicky & Gebhardt (2000) showed that the central velocity dispersion
derived from stars and ionised gas in general agree in a sample of late type
galaxies.
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Figure 4: Mass model for ESO185-IG13 employing the "maximum disk'' method. The main component of the rotation curve from the decomposed velocity field is shown as filled circles, and the secondary counter-rotating component is shown as open squares. The dynamical disk and halo components were fitted to the main component. For further explanations see caption of Fig. 3. |
Copyright ESO 2001