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Title: Statistical Hauser-Feshbach theory with width-fluctuation correction including direct reaction channels for neutron-induced reactions at low energies

Abstract

Here, a model to calculate particle-induced reaction cross sections with statistical Hauser-Feshbach theory including direct reactions is given. The energy average of the scattering matrix from the coupled-channels optical model is diagonalized by the transformation proposed by Engelbrecht and Weidenmüller [C. A. Engelbrecht and H. A. Weidenmüller, Phys. Rev. C 8, 859 (1973)]. The ensemble average of S -matrix elements in the diagonalized channel space is approximated by a model of Moldauer [P. A. Moldauer, Phys. Rev. C 12, 744 (1975)] using the newly parametrized channel degree-of-freedom ν a to better describe the Gaussian orthogonal ensemble (GOE) reference calculations. The Moldauer approximation is confirmed by a Monte Carlo study using a randomly generated S matrix, as well as the GOE threefold integration formula. Lastly, the method proposed is applied to the 238U(n,n') cross-section calculation in the fast-energy range, showing an enhancement in the inelastic scattering cross sections.

Authors:
ORCiD logo [1];  [2];  [3];  [3]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. International Atomic Energy Agency, Vienna (Austria)
  3. CEA, DAM, DIF, Arpajon (France)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1457256
Alternate Identifier(s):
OSTI ID: 1267546
Report Number(s):
LA-UR-15-26433
Journal ID: ISSN 2469-9985; PRVCAN
Grant/Contract Number:  
AC52-06NA25396
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 94; Journal Issue: 1; Journal ID: ISSN 2469-9985
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Kawano, Toshihiko, Capote, Roberto, Hilaire, S., and Chau Huu-Tai, P. Statistical Hauser-Feshbach theory with width-fluctuation correction including direct reaction channels for neutron-induced reactions at low energies. United States: N. p., 2016. Web. doi:10.1103/PhysRevC.94.014612.
Kawano, Toshihiko, Capote, Roberto, Hilaire, S., & Chau Huu-Tai, P. Statistical Hauser-Feshbach theory with width-fluctuation correction including direct reaction channels for neutron-induced reactions at low energies. United States. doi:10.1103/PhysRevC.94.014612.
Kawano, Toshihiko, Capote, Roberto, Hilaire, S., and Chau Huu-Tai, P. Thu . "Statistical Hauser-Feshbach theory with width-fluctuation correction including direct reaction channels for neutron-induced reactions at low energies". United States. doi:10.1103/PhysRevC.94.014612. https://www.osti.gov/servlets/purl/1457256.
@article{osti_1457256,
title = {Statistical Hauser-Feshbach theory with width-fluctuation correction including direct reaction channels for neutron-induced reactions at low energies},
author = {Kawano, Toshihiko and Capote, Roberto and Hilaire, S. and Chau Huu-Tai, P.},
abstractNote = {Here, a model to calculate particle-induced reaction cross sections with statistical Hauser-Feshbach theory including direct reactions is given. The energy average of the scattering matrix from the coupled-channels optical model is diagonalized by the transformation proposed by Engelbrecht and Weidenmüller [C. A. Engelbrecht and H. A. Weidenmüller, Phys. Rev. C 8, 859 (1973)]. The ensemble average of S -matrix elements in the diagonalized channel space is approximated by a model of Moldauer [P. A. Moldauer, Phys. Rev. C 12, 744 (1975)] using the newly parametrized channel degree-of-freedom νa to better describe the Gaussian orthogonal ensemble (GOE) reference calculations. The Moldauer approximation is confirmed by a Monte Carlo study using a randomly generated S matrix, as well as the GOE threefold integration formula. Lastly, the method proposed is applied to the 238U(n,n') cross-section calculation in the fast-energy range, showing an enhancement in the inelastic scattering cross sections.},
doi = {10.1103/PhysRevC.94.014612},
journal = {Physical Review C},
number = 1,
volume = 94,
place = {United States},
year = {Thu Jul 21 00:00:00 EDT 2016},
month = {Thu Jul 21 00:00:00 EDT 2016}
}

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Cited by: 11 works
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Works referenced in this record:

Nuclear Ground-State Masses and Deformations
journal, March 1995

  • Moller, P.; Nix, J. R.; Myers, W. D.
  • Atomic Data and Nuclear Data Tables, Vol. 59, Issue 2, p. 185-381
  • DOI: 10.1006/adnd.1995.1002