Statistical Properties of Kawai-Kerman-McVoy T-matrix

Kawai, Kerman and McVoy (KKM) derived an optical background-plus-fluctuations representation of T-matrix, T = Topt+Tfluct, so that an energy average of Tfluct over a single-particle resonance width is expected to be negligibly small (Ann. of Phys. 75, 156 [1973]). We investigate this property numeri...

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Bibliographic Details
Main Authors: Arbanas, G, Bertulani, C, Dean, D J, Kerman, A K
Format: Conference Proceeding
Language:English
Subjects:
compound resonance
fluctuations
NUCLEAR PHYSICS AND RADIATION PHYSICS
optical background
statistical nuclear reactions
Online Access:Get full text
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Summary:Kawai, Kerman and McVoy (KKM) derived an optical background-plus-fluctuations representation of T-matrix, T = Topt+Tfluct, so that an energy average of Tfluct over a single-particle resonance width is expected to be negligibly small (Ann. of Phys. 75, 156 [1973]). We investigate this property numerically in a simple model with 1,600 compound nuclear levels and 40 channels, coupled via a random interaction. We find that the energy average of the fluctuating term is much smaller than the optical background, Topt, in support of the KKM result. A self-contained derivation of KKM T-matrix is presented.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.2920721