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Statistical Properties of Kawai-Kerman-McVoy T-matrix...

by Goran Arbanas, Carlos A Bertulani, David J Dean, Arthur K Kerman, Jutta E Escher
Publication Type
Conference Paper
Book Title
AIP Conference Proceedings
Publication Date
Page Numbers
160 to 163
Volume
1005
Publisher Location
Melville, New York, United States of America
Conference Name
CNR-2007, Compound-Nuclear Reactions and Related Topics
Conference Location
Oakhurst, California, United States of America
Conference Sponsor
Lawrence Livermore National Laboratory
Conference Date
-

Kawai, Kerman and McVoy (KKM) derived an optical background-plus-fluctuations representation of T-matrix,
T = T_opt + T_fluct, so that an energy average of T_fluct 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, T_opt, in support of the KKM result. A self-contained derivation of KKM T-matrix is presented.