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Information theory and statistical nuclear reactions. I. General theory and applications to few-channel problems

Authors
Journal
Annals of Physics
0003-4916
Publisher
Elsevier
Publication Date
Volume
161
Issue
2
Identifiers
DOI: 10.1016/0003-4916(85)90080-6

Abstract

Abstract Ensembles of scattering S-matrices have been used in the past to describe the statistical fluctuations exhibited by many nuclear-reaction cross sections as a function of energy. In recent years, there have been attempts to construct these ensembles explicitly in terms of S, by directly proposing a statistical law for S. In the present paper, it is shown that, for an arbitrary number of channels, one can incorporate, in the ensemble of S-matrices, the conditions of flux conservation, time-reversal invariance, causality, ergodicity, and the requirement that the ensemble average 〈 S〉 coincide with the optical scattering matrix. Since these conditions do not specify the ensemble uniquely, the ensemble that has maximum information-entropy is dealt with among those that satisfy the above requirements. Some applications to few-channel problems and comparisons to Monte-Carlo calculations are presented.

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