Astron. Astrophys. 335, 1025-1028 (1998)
3. Conclusions
In order to prospect the possible detection of the Zeeman
splittings in the CCH radical, we shall estimate the minimum
line-of-sight magnetic field that could be observed with typical
facilities such as, e.g., the telescope of the
National Radio Astronomy Observatory or the
telescope of the Five College Astronomy Department Observatory.
For a Zeeman splitting of , the antenna
output obtained by substracting the two opposite circularly polarized
signals is given by
![[EQUATION]](img56.gif)
where is the line-of-sight component of the
magnetic field, the antenna temperature and
the FWHM of the transition observed. The
minimum temperature that is detectable by
observing over a period of time t with a pre-dectection
bandwith is
![[EQUATION]](img62.gif)
so that the minimum detectable line-of-sight magnetic field is
![[EQUATION]](img63.gif)
As reported in the literature (Ziurys et al. 1982, Gottlieb et al.
1983, Ungerechts et al. 1997, Bergin et al. 1997), the observed
rotational transitions typically have a FWHM of the order of a few MHz
and yield an antenna temperature of a few Kelvins. With the progresses
achieved in receiver technology, a typical system temperature at the
frequencies under consideration is of the order of a few
. This leads to minimum detectable line-of-sight
magnetic fields of the order of a few for a
typical observing time . In view of these crude
estimates, one can conclude that the rotational transitions of CCH
exhibit a sensitivity sufficient for detecting magnetic fields of the
order of magnitude one could expect from clouds with a molecular
hydrogen density of the order of , typical,
e.g., of the regions traced by CCH in IRAS 16293-2422 (van Dishoeck et
al. 1995).
Putting together these results and those of Paper I, we arrive
at the conclusion that the only molecules for which a sufficient
sensitivity can be reached to detect interstellar magnetic fields with
the strengths expected in molecular clouds are: OH, CN, SO,
, CCH and, possibly, CCS (if one relies on rough
estimates for the Zeeman splitting). The decrease in sensitivity of OH
with density makes it necessary to use other molecules if one wants to
probe magnetic fields in regions with typical densities
(Crutcher et al. 1996). Observational data on
the dense giant molecular cloud cores in Orion, M 17 and
Cepheus A (Bergin et al. 1997; Ungerechts et al. 1997), on the
dark cloud TMC-1 (Irvine et al. 1991; Pratap et al. 1997) reveal that
CN and CCH have very similar distributions and that CCH is more
abundant than CN (by a factor of about 3-4). Besides, if one notices
that the transition of CCH is at a slightly
lower frequency than the same transition in CN, and is therefore
intrinsically marginally more sensitive to magnetic fields, one
concludes that CCH should be worth as much consideration as CN as a
molecule usable to detect magnetic fields in the dense cores of
molecular clouds.
© European Southern Observatory (ESO) 1998
Online publication: June 26, 1998
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