Derivation of an optical potential for statically deformed rare-earth nuclei from a global spherical potential
Abstract
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, we 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 elasticmore »
- Authors:
-
- Brookhaven National Lab. (BNL), Upton, NY (United States)
- P.O. Box 30423, Walnut Creek, CA (United States)
- Publication Date:
- Research Org.:
- Brookhaven National Lab. (BNL), Upton, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1183275
- Alternate Identifier(s):
- OSTI ID: 1181336
- Report Number(s):
- BNL-107712-2015-JA
Journal ID: ISSN 0556-2813; PRVCAN; R&D Project: EST-003-NEFA; KB0301041
- Grant/Contract Number:
- SC00112704; AC02-98CH10886
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. C, Nuclear Physics
- Additional Journal Information:
- Journal Volume: 91; Journal Issue: 2; Journal ID: ISSN 0556-2813
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; national nuclear data center
Citation Formats
Nobre, G. P. A., Palumbo, A., Herman, M., Brown, D., Hoblit, S., and Dietrich, F. S. Derivation of an optical potential for statically deformed rare-earth nuclei from a global spherical potential. United States: N. p., 2015.
Web. doi:10.1103/PhysRevC.91.024618.
Nobre, G. P. A., Palumbo, A., Herman, M., Brown, D., Hoblit, S., & Dietrich, F. S. Derivation of an optical potential for statically deformed rare-earth nuclei from a global spherical potential. United States. https://doi.org/10.1103/PhysRevC.91.024618
Nobre, G. P. A., Palumbo, A., Herman, M., Brown, D., Hoblit, S., and Dietrich, F. S. Wed .
"Derivation of an optical potential for statically deformed rare-earth nuclei from a global spherical potential". United States. https://doi.org/10.1103/PhysRevC.91.024618. https://www.osti.gov/servlets/purl/1183275.
@article{osti_1183275,
title = {Derivation of an optical potential for statically deformed rare-earth nuclei from a global spherical potential},
author = {Nobre, G. P. A. and Palumbo, A. and Herman, M. and Brown, D. and Hoblit, S. and Dietrich, F. S.},
abstractNote = {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, we 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.},
doi = {10.1103/PhysRevC.91.024618},
journal = {Physical Review. C, Nuclear Physics},
number = 2,
volume = 91,
place = {United States},
year = {Wed Feb 25 00:00:00 EST 2015},
month = {Wed Feb 25 00:00:00 EST 2015}
}
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