Energy dependence of nonlocal optical potentials

Lovell, A. E.; Bacq, P. -L.; Capel, P.; Nunes, F. M.; Titus, L. J.

doi:10.1103/PhysRevC.96.051601

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 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.

Authors:

Lovell, A. E. ^[1]; Bacq, P. -L. ^[2]; Capel, P. ^[3]; Nunes, F. M. ^[1]; Titus, L. J. ^[1]

Michigan State Univ., East Lansing, MI (United States). National Superconducting Cyclotron Lab. (NSCL) and Dept. of Physics and Astronomy
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
Free Univ. of Brussels (Belgium). Dept. of Nuclear and Quantum Physics; Technical Univ. of Darmstadt (Germany). Inst. of Nuclear Physics

Publication Date:: Wed Nov 29 00:00:00 EST 2017

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.

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                    Lovell, A. E., Bacq, P. -L., Capel, P., Nunes, F. M., & Titus, L. J. Energy dependence of nonlocal optical potentials.  United States.  https://doi.org/10.1103/PhysRevC.96.051601

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                    Lovell, A. E., Bacq, P. -L., Capel, P., Nunes, F. M., and Titus, L. J. Wed .  
"Energy dependence of nonlocal optical potentials".  United States.  https://doi.org/10.1103/PhysRevC.96.051601.  https://www.osti.gov/servlets/purl/1463323.

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@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         = {Wed Nov 29 00:00:00 EST 2017},

  month        = {Wed Nov 29 00:00:00 EST 2017}

}

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Works referencing / citing this record:

Rearrangement term in the folding model of the nucleon optical potential
journal, February 2020

Loan, Doan Thi; Khoa, Dao T.; Phuc, Nguyen Hoang
Journal of Physics G: Nuclear and Particle Physics, Vol. 47, Issue 3
DOI: 10.1088/1361-6471/ab5f54

Semimicroscopic optical model with coupled-channel analysis for neutron scattering off nuclei with mass numbers $12 \leq A \leq 208$
journal, July 2019

Masadeh, S. B.; Jaghoub, M. I.
Physical Review C, Vol. 100, Issue 1
DOI: 10.1103/physrevc.100.014603

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Title: Energy dependence of nonlocal optical potentials

Abstract

Citation Formats

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

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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

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

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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

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Nucleon elastic scattering from 40Ca between 11 and 48 MeV
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Energy dependence of neutron scattering from ${}^{208}{Pb}$ in the energy range 7—50 MeV
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Effects of nonlocal potentials on $(p, d)$ transfer reactions
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Neutron scattering from $^{208}$ Pb at 30.4 and 40.0 MeV and isospin dependence of the nucleon optical potential
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Nonlocal extension of the dispersive optical model to describe data below the Fermi energy
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Analyzing power and differential cross section at 9.9, 11.9 and 13.9 MeV for Ca(n, n)Ca
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Coupled reaction channels calculations in nuclear physics
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Nucleon-Nucleus Optical-Model Parameters, $A > 40$ , $E < 50$ MeV
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Neutron elastic scattering from 116,118,120,122,124Sn
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Local and global nucleon optical models from 1 keV to 200 MeV
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Optical potential from first principles
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Unified theory of nuclear reactions
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Local representation of the exchange nonlocality in n $-^{16}$ O scattering
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A unified theory of nuclear reactions. II
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Microscopic optical model analysis of nucleon scattering from light nuclei
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The microscopic feshbach optical potential for a schematic coupled channel example
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