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Astron. Astrophys. 354, L45-L48 (2000)
4. Discussion
Having most of the H I column located in front of the
counterjet at a projected distance of
pc is consistent with a number of
previous results on NGC 4261. First, at distances closer to the
nucleus we do not expect H I absorption, since we know
the circumnuclear material is mostly ionised. This is shown by the
free-free absorption at a projected radius of 0.2 pc inferred by Jones
& Wehrle (1997). Secondly, NGC 4261 harbours an X-ray source
( erg/s in the 0.2-1.9 keV range,
Worrall & Birkinshaw 1994), which puts a limit on the total column
density on the line of sight to the nucleus. The model presented by
Worrall & Birkinshaw (1994) yields an upper limit on the total
column density of . Given that the
X-rays preferentially originate in the nucleus, this fits in
comfortably with the constraints from our VLBI H I
absorption.
The model fitting from which we derive the optical depth does not
allow the positions of the components to vary (see Sect. 3), nor is
there any sensitivity for H I beyond the end of the
continuum counter-jet. We are therefore forced to make a simplifying
assumption, namely that 18 mas is the mean radius of the
H I absorbing structure. This is supported by the fact
that most of the VLA absorption is recovered by the VLBI observations
(Sect. 3). Given the HST dust disk inclination, this implies a
distance 5.7 pc away from the nucleus. The FWHM of the line is
comparable with other H I absorption observations of
circumnuclear gas (e.g. in Cyg A, Conway & Blanco 1995).
Therefore, in the next step we assume that the atomic gas is part of
such a circumnuclear rotating structure and not due to individual
clouds randomly distributed in front of the continuum source. Such a
model of the H I disk is supported by the nuclear
parameters derived by Ferrarese et al. (1996) from HST data on optical
transitions. They found a central mass of
, which implies a rotational velocity
of 610 km/s at the location of the H I . Under the
standard assumption that the linewidth
provides an estimate of the
isotropic turbulent velocity, we use the thin disk relation
to estimate the disk thickness
h. We estimate the velocity dispersion
at radius r to be
which gives
pc. So the H I is
likely to reside in a thin circumnuclear disk with an opening angle of
. The average density can, assuming a
volume filling factor f of unity, be estimated to be
for a spin temperature of 100 K. It
follows that a more clumpy distribution
( ) will increase the estimated
density ( ) and decrease the estimated
mass ( ). However, adopting
for simplicity, a mass estimate of
H I inside an homogeneous disk of radius 6 pc is
![[FORMULA]](img45.gif) .
Such a mass would be enough to supply material to the source for
years (assuming a radiative
efficiency ), given that the total
luminosity of the radio source is
erg/s (e.g. Ferrarese et al. 1996). Using the correlation between FRI
source sizes and their age (Parma et al. 1999), the size of NGC 4261
(Jaffe & McNamara 1994) implies an age
years. The same correlation shows
other FRIs with ages years. Hence,
on this time-scale the H I mass we estimate is barely
sufficient to fuel the source. It seems more plausible that there is a
continuous flow of accreting material being transported from the 100
pc scale dust disk onto the central nucleus.
The circumnuclear torus- or disk-structures observed in
H I are usually found on slightly larger scales (50 -
100 pc; e.g. Gallimore et al. 1999 and Conway 1999). Only in a few
other cases the H I is found to lie on very small
scales ( pc in NGC 4151;
Mundell et
al. 1996 and Gallimore et al. 1999) and it is not obvious that
H I survives so close to the nucleus. For gas
irradiated by X-rays an effective ionisation parameter
can be defined, which governs the
physical state of the gas (Maloney et al. 1996). For
the gas is likely to be molecular
with gas temperatures close to or below 100 K, while higher values of
correspond to a hotter atomic gas
phase. Following Maloney et. al (1996), we use
, where
is the hard
( keV) X-ray luminosity, r is
the distance from the nucleus to the irradiated gas, n is the
gas density and is the column
density in units of cm-2.
At the distance of 6 pc a gas density of
cm-3 yields an (atomic)
obscuring column density of . Using
the hard X-ray luminosity of NGC 4261
( erg/s, Roberts et al. 1991) this
results in ; thus implying a mainly
atomic gas phase where the gas temperature is likely to exceed 1000 K
(Maloney et al. 1996). As a consequence the spin temperature is
probably larger than 100 K, and our estimates of the
H I mass and density will only be lower limits.
We conclude that within the scope of this model, it is indeed
possible to have an atomic structure on the scales sampled by our VLBI
observations. The inner boundary of this region is naturally set by
the location of the free-free absorption, which also must be
geometrically thin in order to leave the core unattenuated. On the
outside, the structure changes over into a dust disk which is visible
to HST from its innermost pixel, at
out to 240 pc. However, since one would think that the mm radiation
originates from the flat spectrum core, it is difficult to reconcile
the reported CO absorption (Jaffe & McNamara 1994) with a thin
molecular disk. Apart from the unknown location of the CO gas, the
evidence points to the FRI radio-source in NGC 4261 being powered by
gas infall through a relatively thin disk with a clear gradient of
excitation conditions.
© European Southern Observatory (ESO) 2000
Online publication: January 31, 2000
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