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Title: Energy dependence of nonlocal optical potentials

Abstract

Recently, a variety of studies have shown the importance of including nonlocality in the description of reactions. The goal of this work is to revisit the phenomenological approach to determining nonlocal optical potentials from elastic scattering. We perform a χ 2 analysis of neutron elastic scattering data off 40Ca, 90Zr, and 208Pb at energies E ≈ 5–40 MeV, assuming a Perey and Buck [Nucl. Phys. 32, 353 (1962)] or Tian et al. [Int. J. Mod. Phys. E 24, 1550006 (2015)] nonlocal form for the optical potential. We introduce energy and asymmetry dependencies in the imaginary part of the potential and refit the data to obtain a global parametrization. Independently of the starting point in the minimization procedure, an energy dependence in the imaginary depth is required for a good description of the data across the included energy range. We then present two parametrizations, both of which represent an improvement over the original potentials for the fitted nuclei as well as for other nuclei not included in our fit. Our results show that, even when including the standard Gaussian nonlocality in optical potential, a significant energy dependence is required to describe elastic-scattering data.

Authors:
 [1];  [2];  [3];  [1];  [1]
  1. Michigan State Univ., East Lansing, MI (United States). National Superconducting Cyclotron Lab. (NSCL) and Dept. of Physics and Astronomy
  2. Michigan State Univ., East Lansing, MI (United States). National Superconducting Cyclotron Lab. (NSCL) and Dept. of Physics and Astronomy; Free Univ. of Brussels (Belgium). Dept. of Nuclear and Quantum Physics
  3. Free Univ. of Brussels (Belgium). Dept. of Nuclear and Quantum Physics; Technical Univ. of Darmstadt (Germany). Inst. of Nuclear Physics
Publication Date:
Research Org.:
Michigan State Univ., East Lansing, MI (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA); National Science Foundation (NSF); German Research Foundation (DFG); European Union (EU)
OSTI Identifier:
1463323
Alternate Identifier(s):
OSTI ID: 1410589
Grant/Contract Number:  
[NA0002132; PHY-1068571; PHY-1403906; NA0002135; FG52-08NA28552; 654002]
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review C
Additional Journal Information:
[ Journal Volume: 96; Journal Issue: 5]; Journal ID: ISSN 2469-9985
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; neutron elastic scattering; non-local optical potentials; energy dependent potentials; direct reactions; models & methods for nuclear reactions; nuclear reactions; nucleon induced nuclear reactions; optical, coupled-channel & distorted wave models

Citation Formats

Lovell, A. E., Bacq, P. -L., Capel, P., Nunes, F. M., and Titus, L. J. Energy dependence of nonlocal optical potentials. United States: N. p., 2017. Web. doi:10.1103/PhysRevC.96.051601.
Lovell, A. E., Bacq, P. -L., Capel, P., Nunes, F. M., & Titus, L. J. Energy dependence of nonlocal optical potentials. United States. doi:10.1103/PhysRevC.96.051601.
Lovell, A. E., Bacq, P. -L., Capel, P., Nunes, F. M., and Titus, L. J. Wed . "Energy dependence of nonlocal optical potentials". United States. doi:10.1103/PhysRevC.96.051601. https://www.osti.gov/servlets/purl/1463323.
@article{osti_1463323,
title = {Energy dependence of nonlocal optical potentials},
author = {Lovell, A. E. and Bacq, P. -L. and Capel, P. and Nunes, F. M. and Titus, L. J.},
abstractNote = {Recently, a variety of studies have shown the importance of including nonlocality in the description of reactions. The goal of this work is to revisit the phenomenological approach to determining nonlocal optical potentials from elastic scattering. We perform a χ2 analysis of neutron elastic scattering data off 40Ca, 90Zr, and 208Pb at energies E ≈ 5–40 MeV, assuming a Perey and Buck [Nucl. Phys. 32, 353 (1962)] or Tian et al. [Int. J. Mod. Phys. E 24, 1550006 (2015)] nonlocal form for the optical potential. We introduce energy and asymmetry dependencies in the imaginary part of the potential and refit the data to obtain a global parametrization. Independently of the starting point in the minimization procedure, an energy dependence in the imaginary depth is required for a good description of the data across the included energy range. We then present two parametrizations, both of which represent an improvement over the original potentials for the fitted nuclei as well as for other nuclei not included in our fit. Our results show that, even when including the standard Gaussian nonlocality in optical potential, a significant energy dependence is required to describe elastic-scattering data.},
doi = {10.1103/PhysRevC.96.051601},
journal = {Physical Review C},
number = [5],
volume = [96],
place = {United States},
year = {2017},
month = {11}
}

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Cited by: 5 works
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Works referenced in this record:

Nucleon elastic scattering from 40Ca between 11 and 48 MeV
journal, February 1987


Energy dependence of neutron scattering from Pb 208 in the energy range 7—50 MeV
journal, September 1984


Effects of nonlocal potentials on ( p , d ) transfer reactions
journal, October 2015


Neutron scattering from 208 Pb at 30.4 and 40.0 MeV and isospin dependence of the nucleon optical potential
journal, February 2012


Nonlocality in the adiabatic model of A ( d , p ) B reactions
journal, June 2013


Testing the Perey effect
journal, March 2014


Nonlocal extension of the dispersive optical model to describe data below the Fermi energy
journal, November 2010


Analyzing power and differential cross section at 9.9, 11.9 and 13.9 MeV for Ca(n, n)Ca
journal, September 1982


Coupled reaction channels calculations in nuclear physics
journal, April 1988


Nucleon-Nucleus Optical-Model Parameters, A > 40 , E < 50 MeV
journal, June 1969


Neutron elastic scattering from 116,118,120,122,124Sn
journal, May 1980


Local and global nucleon optical models from 1 keV to 200 MeV
journal, January 2003


Optical potential from first principles
journal, February 2017


Unified theory of nuclear reactions
journal, December 1958


Implications for ( d , p ) reaction theory from nonlocal dispersive optical model analysis of Ca 40 ( d , p ) Ca 41
journal, September 2016


Optical potential for the n - 9 Be reaction
journal, February 2014


A non-local potential model for the scattering of neutrons by nuclei
journal, April 1962


Local representation of the exchange nonlocality in n 16 O scattering
journal, March 1994


Transfer reaction code with nonlocal interactions
journal, October 2016


Systematic nonlocal optical model potential for nucleons
journal, January 2015

  • Tian, Yuan; Pang, Dan-Yang; Ma, Zhong-Yu
  • International Journal of Modern Physics E, Vol. 24, Issue 01
  • DOI: 10.1142/S0218301315500068

A unified theory of nuclear reactions. II
journal, August 1962


Explicit inclusion of nonlocality in ( d , p ) transfer reactions
journal, January 2016


Microscopic optical model analysis of nucleon scattering from light nuclei
journal, September 1985


The microscopic feshbach optical potential for a schematic coupled channel example
journal, December 1987


Coupled-channel analysis of nucleon scattering from sup40 Ca up to 80 MeV
journal, April 1986


Isospin effects in nucleon inelastic scattering from single-closed-shell nuclei
journal, December 1978


Fast Neutron Scattering Cross Sections of Sn-118 at 14.9 and 18.0 MeV
journal, June 1988

  • Chiba, Satoshi; Yamanouti, Yoshimaro; Sugimoto, Masayoshi
  • Journal of Nuclear Science and Technology, Vol. 25, Issue 6
  • DOI: 10.1080/18811248.1988.9733623

Two causes of nonlocalities in nucleon-nucleus potentials and their effects in nucleon-nucleus scattering
journal, January 2008


Neutron scattering from 90,91,92,94Zr
journal, October 1990


Test of microscopic optical model potentials for neutron elastic scattering at 14.6 MeV over a wide mass range
journal, January 1985


Examining the effect of nonlocality in ( d , n ) transfer reactions
journal, July 2016


A global nucleon optical model potential
journal, March 1991


Sensitivity of ( d , p ) Reactions to High n p Momenta and the Consequences for Nuclear Spectroscopy Studies
journal, October 2016


Forging the Link between Nuclear Reactions and Nuclear Structure
journal, April 2014


Neutron scattering from 208Pb
journal, February 1978


Asymmetry dependence of nucleon correlations in spherical nuclei extracted from a dispersive-optical-model analysis
journal, June 2011