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On the theory of resonance integrals in the statistical region

Published online by Cambridge University Press:  14 July 2016

A. Reichel  and
C. A. Wilkins
A. Reichel
Affiliation:
University of Sydney
C. A. Wilkins
Affiliation:
University of Auckland
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Abstract

The problem of determining infinitely dilute resonance integrals is formulated in renewal theoretical terms. The mean value of the integral for a single resonance is determined in simple closed form. On the assumption that Wigner's hypothesis holds, the resonance density is determined, and a usable approximation to it is derived. An expression for the infinitely dilute resonance integral in the statistical region is then given and its value calculated in special cases and compared with the results of a previous computation.

Type
Research Papers
Information
Journal of Applied Probability , Volume 1 , Issue 2 , December 1964 , pp. 335 - 346
Copyright
Copyright © Applied Probability Trust 

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