Abstract
For nuclear cross sections a very simple relation between channel averages and averages over incident energy is found. The assumptions used are normally satisfied for sets of channels involved in inclusive cross sections in regions without intermediate structure. In the absence of direct reactions the channel averaged cross sections are expressed in terms of channel averaged transmission coefficients; in the presence of such reactions, channel averages of first and second powers of transmission matrix elements occur when channel correlations induced by direct reactions are neglected.
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We wish to thank H.A. Weidenmüller for interesting discussions and one of us (T.H.S.) wishes to thank the Max-Planck-Institut für Kernphysik, Heidelberg, for its hospitality.
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Nemes, M.C., Seligman, T.H. The relation between channel averages and energy averaged cross sections. Z Physik A 295, 243–245 (1980). https://doi.org/10.1007/BF01412203
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DOI: https://doi.org/10.1007/BF01412203