Statistical Properties of Kawai-Kerman-McVoy T-matrix

Journal Article · Thu Apr 17 04:00:00 EDT 2008 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.2920721· OSTI ID:21143142

Arbanas, G ^[1]; Bertulani, C ^[2]; Dean, D J ^[3]; Kerman, A K ^[4]

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1. NSTD, Oak Ridge National Laboratory, P.O. Box 2008, Oak Ridge, TN 037831-6171 (United States)
2. Dept. of Physics, Texas A and M University-Commerce, P.O. Box 3011, Commerce, TX 75429-3011 (United States)
3. Physcis Division, Oak Ridge National Laboratory P.O. Box 2008, Oak Ridge, TN 37831 (United States)
4. M.I.T., 77 Massachussetts Ave., 6-306, Cambridge, MA 02139 (United States)

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

• OSTI ID: 21143142
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 1005; ISSN APCPCS; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
COMPOUND NUCLEI
ENERGY LEVELS
FLUCTUATIONS
RANDOMNESS
RESONANCE
S MATRIX
SCHROEDINGER EQUATION
SINGLE-PARTICLE MODEL
STATISTICAL MODELS