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Title: Coupled channels optical model potential for rare earth nuclei

Authors:
; ; ; ; ; ;
Publication Date:
Research Org.:
Brookhaven National Laboratory (BNL) National Nuclear Data Center
Sponsoring Org.:
USDOE SC OFFICE OF SCIENCE (SC)
OSTI Identifier:
1162163
Report Number(s):
BNL-106259-2014-JA
R&D Project: EST-003-NEFA; KB0301041
DOE Contract Number:
DE-AC02-98CH10886
Resource Type:
Journal Article
Resource Relation:
Journal Name: EPJ Web of Conferences; Journal Volume: 69
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; national nuclear data center

Citation Formats

Herman M., Herman,M., Nobre,G.P.A., Palumbo,A., Dietrich,F.S., Brown,D., and Hoblit,S. Coupled channels optical model potential for rare earth nuclei. United States: N. p., 2014. Web. doi:10.1051/epjconf/20136900007.
Herman M., Herman,M., Nobre,G.P.A., Palumbo,A., Dietrich,F.S., Brown,D., & Hoblit,S. Coupled channels optical model potential for rare earth nuclei. United States. doi:10.1051/epjconf/20136900007.
Herman M., Herman,M., Nobre,G.P.A., Palumbo,A., Dietrich,F.S., Brown,D., and Hoblit,S. Fri . "Coupled channels optical model potential for rare earth nuclei". United States. doi:10.1051/epjconf/20136900007.
@article{osti_1162163,
title = {Coupled channels optical model potential for rare earth nuclei},
author = {Herman M. and Herman,M. and Nobre,G.P.A. and Palumbo,A. and Dietrich,F.S. and Brown,D. and Hoblit,S.},
abstractNote = {},
doi = {10.1051/epjconf/20136900007},
journal = {EPJ Web of Conferences},
number = ,
volume = 69,
place = {United States},
year = {Fri Aug 01 00:00:00 EDT 2014},
month = {Fri Aug 01 00:00:00 EDT 2014}
}
  • The coupled-channel theory is a natural way of treating nonelastic channels, in particular those arising from collective excitations, defined by nuclear deformations. Proper treatment of such excitations is often essential to the accurate description of reaction experimental data. Previous works have applied different models to specific nuclei with the purpose of determining angular-integrated cross sections. In this work, we present an extensive study of the effects of collective couplings and nuclear deformations on integrated cross sections as well as on angular distributions in a consistent manner for neutron-induced reactions on nuclei in the rare-earth region. This specific subset of themore » nuclide chart was chosen precisely because of a clear static deformation pattern. We analyze the convergence of the coupled-channel calculations regarding the number of states being explicitly coupled. Inspired by the work done by Dietrich et al., a model for deforming the spherical Koning-Delaroche optical potential as function of quadrupole and hexadecupole deformations is also proposed. We demonstrate that the obtained results of calculations for total, elastic and inelastic cross sections, as well as elastic and inelastic angular distributions correspond to a remarkably good agreement with experimental data for scattering energies above around a few MeV.« less
  • The possibility of describing the anomalous scattering and the isotopic effect at nonresonant ..cap alpha.. energies on the basis of the optical model and the coupled-channel method. The optical model calculations are carried out for target nuclei /sup 24/,/sup 25/,/sup 26/Mg, /sup 31/P, and /sup 32/,/sup 34/S, and coupled-channel calculations are carried out for /sup 24/,/sup 26/Mg and /sup 32/,/sup 34/S. The angular distributions of elastic scattered ..cap alpha.. particles were calculated with the Woods-Saxon potential. Cross sections were also calculated. (JFP)
  • Cited by 1
  • The coupled-channel theory is a natural way of treating nonelastic channels, in particular those arising from collective excitations characterized by nuclear deformations. A proper treatment of such excitations is often essential to the accurate description of experimental nuclear-reaction data and to the prediction of a wide variety of scattering observables. Stimulated by recent work substantiating the near validity of the adiabatic approximation in coupled-channel calculations for scattering on statically deformed nuclei, we explore the possibility of generalizing a global spherical optical model potential (OMP) to make it usable in coupled-channel calculations on this class of nuclei. To do this, wemore » have deformed the Koning-Delaroche global spherical potential for neutrons, coupling a sufficient number of states of the ground state band to ensure convergence. We present an extensive study of the effects of collective couplings and nuclear deformations on integrated cross sections as well as on angular distributions for neutron-induced reactions on statically deformed nuclei in the rare-earth region. We choose isotopes of three rare-earth elements (Gd, Ho, W), which are known to be nearly perfect rotors, to exemplify the results of the proposed method. Predictions from our model for total, elastic and inelastic cross sections, as well as for elastic and inelastic angular distributions, are in reasonable agreement with measured experimental data. In conclusion, these results suggest that the deformed Koning-Delaroche potential provides a useful regional neutron optical potential for the statically deformed rare earth nuclei.« less