Compound nucleus in Livsic open-system theory: Factorization of the S matrix

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Abstract

The compound-nucleus system fits into a mathematical theory of open systems in physics developed by the mathematician M. Livsic [Translations of Mathematical Monographs (American Mathematical Society, Providence, Rhode Island, 1973), Vol. 34]. In this article we review some basic concepts of the above theory and apply it to study the structure of the compound-nucleus S matrix. One of the results is a factorization of the S matrix in the form S()=S +iAk/(k-)], where Ak are known matrices and k are the complex resonance energies.

Original languageEnglish
Pages (from-to)584-590
Number of pages7
JournalPhysical Review A
Volume38
Issue number2
DOIs
StatePublished - 1 Jan 1988

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