Astron. Astrophys. 346, 260-266 (1999)
4. The emitted spectrum
We have computed the emission line spectrum for the above grid of
mixing layer models. Table 1 lists the parameters for the two
sequences (constant and constant
) with
cm-3, as well as the
H flux (emitted per unit area
perpendicular to the surface of the mixing layer) and the ratios of
several emission lines with respect to
H . Tables 2
and 3 list the same
quantities for models with
cm-3 and
cm-3, respectively.
![[TABLE]](img120.gif)
Table 1. Line intensities predicted from mixing layer models with cm-3.
Notes:
a) Line intensities such that H .
![[TABLE]](img127.gif)
Table 2. Line intensities predicted from mixing layer models with cm-3.
Notes:
a) Line intensities such that H .
![[TABLE]](img134.gif)
Table 3. Line intensities predicted from mixing layer models with cm-3.
Notes:
a) Line intensities such that H .
The line ratios listed in Tables 1, 2, and 3 show that for all
of the models that we have computed, the spectrum has very low
excitation characteristics. The model sequence with varying
(and constant
) clearly shows that for increasing
widths of the mixing layer (i.e., for increasing values of
), the strength (relative to
H ) of all of the tabulated
forbidden lines increases. Interestingly, higher excitation
lines (e.g., [O III] 5007) are absent in all of the
models.
The constant model sequence shows
that for jet velocities above
km s-1, the strongest
forbidden lines become insensitive to further increases in
. Therefore,
is the important parameter for
determining the spectrum emitted from a mixing layer, as we expect
that the km s-1
condition should be satisfied by most outflows from young stars.
In order to carry out a comparison with observations, we have taken
the data compiled by Raga et al. (1996) for low excitation HH objects,
and plotted in Fig. 4 some of the observed lines in the form of
two-line ratio graphs. On the same graphs, we have plotted the
predictions from mixing layer
sequences (which all have
km s-1 and
K) of Tables 1, 2 and 3
which correspond to ,
and
cm-3, respectively. We
have also plotted the two-line ratio curves obtained from the
plane-parallel shock wave models of Hartigan et al. (1994, 1995) with
preshock density
cm-3.
![[FIGURE]](img152.gif) |
Fig. 4. Two-line ratio plots, showing the characteristics of the theoretical and observed spectra. The solid squares correspond to observations of low excitation HH objects. The dashed line represent the line ratios obtained from plane-parallel steady-state shock models (Hartigan et al. 1994) of preshock density cm-3 and shock velocities ranging from 15 to 40 km s-1 (the lower velocity models having higher [S II]/H ). The solid lines correspond to three sequences in of mixing layer models with km s-1 and different densities: (thin line), (medium line) and cm-3 (thick line). The details of the models are discussed in the text.
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From Fig. 4, it is clear that the
[N II] 6583/H and
[S II] 6731/6716 vs.
[S II]/H plots are reproduced
with similar success both by the shock wave and the mixing layer
models. However, the
[O I] 6300/H line ratio of
the mixing layer models is too high by a factor of 2 or more with
respect to the observed ratios. The observed
[O I] 6300/H line ratios are
better reproduced by the shock wave models.
© European Southern Observatory (ESO) 1999
Online publication: May 6, 1999
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