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Title: Nucleon direct-semidirect radiative capture with Skyrme-Hartree-Fock-BCS bound states

Abstract

The nucleon direct-semidirect (DSD) capture cross sections are obtained by calculating a transition amplitude to the Hartree-Fock-BCS bound states. The radial matrix elements in the DSD amplitudes are calculated from the radial part of the single-particle wave functions. For deformed nuclei the single-particle states are expanded in the cylindrical harmonic-oscillator basis and then projected on the spherical harmonic-oscillator basis. The pairing correlations are treated in the BCS approach and the calculated spectroscopic factors are in fairly good agreement with experimental data in the even tin isotopes from {sup 116}Sn to {sup 124}Sn. The resulting DSD cross sections for the neutron capture by {sup 208}Pb and {sup 238}U are found to be in good agreement with the available experimental data. The calculations are also performed for the neutron capture on {sup 122}Sn and {sup 132}Sn isotopes that are important for the r-process in astrophysics.

Authors:
;  [1];  [1];  [2];  [3]
  1. Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)
  2. (Japan)
  3. Advanced Science Research Center, Japan Atomic Energy Agency, Tokai, Ibaraki 319-1195 (Japan)
Publication Date:
OSTI Identifier:
20995304
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 75; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevC.75.054618; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; BOUND STATE; CAPTURE; CROSS SECTIONS; CYLINDRICAL CONFIGURATION; DEFORMED NUCLEI; HARMONIC OSCILLATORS; HARTREE-FOCK METHOD; LEAD 208; MATRIX ELEMENTS; NEUTRON REACTIONS; NUCLEONS; R PROCESS; SKYRME POTENTIAL; SPECTROSCOPIC FACTORS; TIN 116; TIN 122; TIN 124; TIN 132; TRANSITION AMPLITUDES; URANIUM 238

Citation Formats

Bonneau, L., Kawano, T., Watanabe, T., Department of Applied Quantum Physics and Nuclear Engineering, Kyushu University, 744 Motooka, Nishi-ku, Fukuoka 819-0395, and Chiba, S. Nucleon direct-semidirect radiative capture with Skyrme-Hartree-Fock-BCS bound states. United States: N. p., 2007. Web. doi:10.1103/PHYSREVC.75.054618.
Bonneau, L., Kawano, T., Watanabe, T., Department of Applied Quantum Physics and Nuclear Engineering, Kyushu University, 744 Motooka, Nishi-ku, Fukuoka 819-0395, & Chiba, S. Nucleon direct-semidirect radiative capture with Skyrme-Hartree-Fock-BCS bound states. United States. doi:10.1103/PHYSREVC.75.054618.
Bonneau, L., Kawano, T., Watanabe, T., Department of Applied Quantum Physics and Nuclear Engineering, Kyushu University, 744 Motooka, Nishi-ku, Fukuoka 819-0395, and Chiba, S. Tue . "Nucleon direct-semidirect radiative capture with Skyrme-Hartree-Fock-BCS bound states". United States. doi:10.1103/PHYSREVC.75.054618.
@article{osti_20995304,
title = {Nucleon direct-semidirect radiative capture with Skyrme-Hartree-Fock-BCS bound states},
author = {Bonneau, L. and Kawano, T. and Watanabe, T. and Department of Applied Quantum Physics and Nuclear Engineering, Kyushu University, 744 Motooka, Nishi-ku, Fukuoka 819-0395 and Chiba, S.},
abstractNote = {The nucleon direct-semidirect (DSD) capture cross sections are obtained by calculating a transition amplitude to the Hartree-Fock-BCS bound states. The radial matrix elements in the DSD amplitudes are calculated from the radial part of the single-particle wave functions. For deformed nuclei the single-particle states are expanded in the cylindrical harmonic-oscillator basis and then projected on the spherical harmonic-oscillator basis. The pairing correlations are treated in the BCS approach and the calculated spectroscopic factors are in fairly good agreement with experimental data in the even tin isotopes from {sup 116}Sn to {sup 124}Sn. The resulting DSD cross sections for the neutron capture by {sup 208}Pb and {sup 238}U are found to be in good agreement with the available experimental data. The calculations are also performed for the neutron capture on {sup 122}Sn and {sup 132}Sn isotopes that are important for the r-process in astrophysics.},
doi = {10.1103/PHYSREVC.75.054618},
journal = {Physical Review. C, Nuclear Physics},
number = 5,
volume = 75,
place = {United States},
year = {Tue May 15 00:00:00 EDT 2007},
month = {Tue May 15 00:00:00 EDT 2007}
}