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Title: Nonlocal interactions in the ( d , p ) surrogate method for ( n , γ ) reactions

Abstract

Single-neutron transfer reactions populating states in the continuum are interesting both for structure and astrophysics. In their description often global optical potentials are used for the nucleon-target interactions, and these interactions are typically local. In our work, we study the effects of nonlocality in $(d,p)$ reactions populating continuum states. This work is similar to that of Titus and Nunes [Phys. Rev. C 89, 034609 (2014)] but now for transfer to the continuum. A theory for computing cross sections for inclusive processes A ( d , p ) X was explored in Potel et al. Therein, local optical potentials were used to describe the nucleon-target effective interaction. The goal of the present work is to extend the theory developed in Potel et al. (2015) to investigate the effects of including nonlocality in the effective interaction on the relevant reaction observables. We implement the R -matrix method to solve the nonlocal equations both for the nucleon wave functions and the propagator. We then apply the method to systematically study the inclusive process of ( d , p ) on O 16 , Ca 40 , Ca 48 , and Pb 208 at 10, 20, and 50 MeV. We compare the results obtained when nonlocal interactions are used with those obtained when local equivalent interactions are included. We find that nonlocality affects different pieces of the model in complex ways. The competition between the reduction of the propagator and the neutron wave function in the region of interest and the increase of the magnitude of the interaction produces varying effects on the cross section. Depending on the beam energy and the target, the nonelastic breakup can either increase or decrease. Effects on the heavier targets can be as large as 85 % . While the nonelastic transfer cross section for each final spin state can change considerably, the main prediction of the model [Potel et al. (2015)], namely the shape of the spin distributions, remains largely unaltered by nonlocality.

Authors:
 [1];  [2];  [3]
  1. Michigan State Univ., East Lansing, MI (United States). National Superconducting Cyclotron Lab.; Rutgers Univ., New Brunswick, NJ (United States). Dept. of Physics and Astronomy
  2. Michigan State Univ., East Lansing, MI (United States). National Superconducting Cyclotron Lab.
  3. Michigan State Univ., East Lansing, MI (United States). National Superconducting Cyclotron Lab. Dept. of Physics and Astronomy
Publication Date:
Research Org.:
Michigan State Univ., East Lansing, MI (United States); Rutgers Univ., New Brunswick, NJ (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA), Office of Defense Nuclear Nonproliferation (NA-20); National Science Foundation (NSF)
OSTI Identifier:
1525886
Alternate Identifier(s):
OSTI ID: 1479141
Grant/Contract Number:  
FG52-08NA28552; NA0000979; PHY-1520929
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 98; Journal Issue: 4; Journal ID: ISSN 2469-9985
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Li, Weichuan, Potel, Gregory, and Nunes, Filomena. Nonlocal interactions in the (d,p) surrogate method for (n,γ) reactions. United States: N. p., 2018. Web. doi:10.1103/PhysRevC.98.044621.
Li, Weichuan, Potel, Gregory, & Nunes, Filomena. Nonlocal interactions in the (d,p) surrogate method for (n,γ) reactions. United States. doi:10.1103/PhysRevC.98.044621.
Li, Weichuan, Potel, Gregory, and Nunes, Filomena. Thu . "Nonlocal interactions in the (d,p) surrogate method for (n,γ) reactions". United States. doi:10.1103/PhysRevC.98.044621. https://www.osti.gov/servlets/purl/1525886.
@article{osti_1525886,
title = {Nonlocal interactions in the (d,p) surrogate method for (n,γ) reactions},
author = {Li, Weichuan and Potel, Gregory and Nunes, Filomena},
abstractNote = {Single-neutron transfer reactions populating states in the continuum are interesting both for structure and astrophysics. In their description often global optical potentials are used for the nucleon-target interactions, and these interactions are typically local. In our work, we study the effects of nonlocality in $(d,p)$ reactions populating continuum states. This work is similar to that of Titus and Nunes [Phys. Rev. C 89, 034609 (2014)] but now for transfer to the continuum. A theory for computing cross sections for inclusive processes A(d,p)X was explored in Potel et al. Therein, local optical potentials were used to describe the nucleon-target effective interaction. The goal of the present work is to extend the theory developed in Potel et al. (2015) to investigate the effects of including nonlocality in the effective interaction on the relevant reaction observables. We implement the R-matrix method to solve the nonlocal equations both for the nucleon wave functions and the propagator. We then apply the method to systematically study the inclusive process of (d,p) on O16, Ca40, Ca48, and Pb208 at 10, 20, and 50 MeV. We compare the results obtained when nonlocal interactions are used with those obtained when local equivalent interactions are included. We find that nonlocality affects different pieces of the model in complex ways. The competition between the reduction of the propagator and the neutron wave function in the region of interest and the increase of the magnitude of the interaction produces varying effects on the cross section. Depending on the beam energy and the target, the nonelastic breakup can either increase or decrease. Effects on the heavier targets can be as large as 85%. While the nonelastic transfer cross section for each final spin state can change considerably, the main prediction of the model [Potel et al. (2015)], namely the shape of the spin distributions, remains largely unaltered by nonlocality.},
doi = {10.1103/PhysRevC.98.044621},
journal = {Physical Review C},
number = 4,
volume = 98,
place = {United States},
year = {2018},
month = {10}
}

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