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

Kawano, Toshihiko; Capote, Roberto; Hilaire, S.; Chau Huu-Tai, P.

doi:10.1103/PhysRevC.94.014612

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

Journal Article · Thu Jul 21 00:00:00 EDT 2016 · Physical Review C

DOI:https://doi.org/10.1103/PhysRevC.94.014612· OSTI ID:1457256

^[1]; Capote, Roberto ^[2]; Hilaire, S. ^[3]; Chau Huu-Tai, P. ^[3]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
International Atomic Energy Agency, Vienna (Austria)
CEA, DAM, DIF, Arpajon (France)

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.

View Accepted Manuscript (DOE)

Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE; USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC52-06NA25396

OSTI ID:: 1457256

Alternate ID(s):: OSTI ID: 1267546

Report Number(s):: LA-UR--15-26433

Journal Information:: Physical Review C, Journal Name: Physical Review C Journal Issue: 1 Vol. 94; ISSN PRVCAN; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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