The possibility to detect cosmological signals from the post{recombination Universe is one of the main aims of modern cosmology. In a previous paper we emphasized the role that elastic resonant scattering through LiH molecules can have in dumping primary CBR anisotropies and raising secondary signals. Here we extend our analysis to all the evolutionary stages of a primordial cloud, starting with the linear phase, through the turn{around and to the non linear collapse. We have done calculations for proto{clouds in a CDM scenario and, more generally, for a set of clouds with various masses and various turn{around redshifts, in this case without referring to any particular structure formation scenario. We found that the rst phase of collapse, for t=t free fall = 0:05 0:2 is the best one for simultaneous detection of the rst two LiH rotational lines. The observational frequency falls between 30 and 250 GHz and the line width is between 10 5 and 10 4 . As far as we know this is the most favourable process to detect primordial clouds before they start star formation processes.
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