Molecular line emissions play an important role in the thermal balance
of collapsing molecular clouds. In the present paper we calculate ana
lytically the molecular cooling due to H-2 and HD, the last being the
main cooling agent around 200 K (Puy & Signore, 1997 [NewA, 2, 299]).
Our analysis is done under the hypothesis: we consider only the first
two excited levels of the H-2 and HD molecules. We analyse the ratio b
etween the molecular cooling due to HD and that due to H-2. The potent
iality of fragmentation of these collapsing protoclouds through the th
ermal instability is also discussed. Finally, we suggest that this stu
dy could also be extended to the CO molecule, because the carbon reser
voir molecule CO has already been observed in high redshift objects. (
C) 1998 Elsevier Science B.V.