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Title: Random-matrix approach to the statistical compound nuclear reaction at low energies using the Monte-Carlo technique [PowerPoint]

This theoretical treatment of low-energy compound nucleus reactions begins with the Bohr hypothesis, with corrections, and various statistical theories. The author investigates the statistical properties of the scattering matrix containing a Gaussian Orthogonal Ensemble (GOE) Hamiltonian in the propagator. The following conclusions are reached: For all parameter values studied, the numerical average of MC-generated cross sections coincides with the result of the Verbaarschot, Weidenmueller, Zirnbauer triple-integral formula. Energy average and ensemble average agree reasonably well when the width I is one or two orders of magnitude larger than the average resonance spacing d. In the strong-absorption limit, the channel degree-of-freedom ν a is 2. The direct reaction increases the inelastic cross sections while the elastic cross section is reduced.
Authors:
 [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
OSTI Identifier:
1225583
Report Number(s):
LA-UR--15-28754
TRN: US1700231
DOE Contract Number:
AC52-06NA25396
Resource Type:
Conference
Resource Relation:
Conference: Random Matrix Theory, Integrable Systems, and Topology in Physics, Stony Brook, NY (United States), 2 Nov 2015
Research Org:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org:
USDOE
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; COMPOUND-NUCLEUS REACTIONS; DIRECT REACTIONS; MONTE CARLO METHOD; CROSS SECTIONS; HAMILTONIANS; S MATRIX; STATISTICAL MODELS; RANDOMNESS; DEGREES OF FREEDOM; PROPAGATOR; ELASTIC SCATTERING; INELASTIC SCATTERING; KEV RANGE 100-1000 Atomic and Nuclear Physics