Statistical Properties of Kawai-Kerman-McVoy T-matrix

Conference · Tue Apr 01 04:00:00 EDT 2008

DOI:https://doi.org/10.1063/1.2920721· OSTI ID:1036536

Arbanas, Goran ^[1]; Bertulani, Carlos ^[1]; Dean, David ^[1]; Kerman, Arthur K. ^[1]; Escher, Jutta ^[1]

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1. ORNL

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.

• Research Organization: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
• Sponsoring Organization: USDOE
• DOE Contract Number: AC05-00OR22725
• OSTI ID: 1036536
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
compound resonance
fluctuations
optical background
statistical nuclear reactions