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Title: Potential model for nuclear astrophysical fusion reactions with a square-well potential

Abstract

The potential model for nuclear astrophysical reactions requires a considerably shallow nuclear potential when a square-well potential is employed to fit experimental data. Here, we discuss the origin of this apparently different behavior from that obtained with a smooth Woods-Saxon potential, for which a deep potential is often employed. We argue that due to the sharp change of the potential at the boundary the radius parameter tends to be large in the square-well model, which results in a large absorption radius. The wave function then needs to be suppressed in the absorption region, which can eventually be achieved by using a shallow potential. We thus clarify the reason why the square-well potential has been able to reproduce a large amount of fusion data.

Authors:
 [1];  [1];  [2]
  1. Tohoku Univ., Sendai (Japan)
  2. Texas A & M Univ.-Commerce, Commerce, TX (United States)
Publication Date:
Research Org.:
Texas A & M Univ.-Commerce, Commerce, TX (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1529104
Alternate Identifier(s):
OSTI ID: 1546277
Grant/Contract Number:  
FG02-08ER41533
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 99; Journal Issue: 6; 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

Ogura, R., Hagino, K., and Bertulani, C. A. Potential model for nuclear astrophysical fusion reactions with a square-well potential. United States: N. p., 2019. Web. doi:10.1103/PhysRevC.99.065808.
Ogura, R., Hagino, K., & Bertulani, C. A. Potential model for nuclear astrophysical fusion reactions with a square-well potential. United States. doi:10.1103/PhysRevC.99.065808.
Ogura, R., Hagino, K., and Bertulani, C. A. Tue . "Potential model for nuclear astrophysical fusion reactions with a square-well potential". United States. doi:10.1103/PhysRevC.99.065808.
@article{osti_1529104,
title = {Potential model for nuclear astrophysical fusion reactions with a square-well potential},
author = {Ogura, R. and Hagino, K. and Bertulani, C. A.},
abstractNote = {The potential model for nuclear astrophysical reactions requires a considerably shallow nuclear potential when a square-well potential is employed to fit experimental data. Here, we discuss the origin of this apparently different behavior from that obtained with a smooth Woods-Saxon potential, for which a deep potential is often employed. We argue that due to the sharp change of the potential at the boundary the radius parameter tends to be large in the square-well model, which results in a large absorption radius. The wave function then needs to be suppressed in the absorption region, which can eventually be achieved by using a shallow potential. We thus clarify the reason why the square-well potential has been able to reproduce a large amount of fusion data.},
doi = {10.1103/PhysRevC.99.065808},
journal = {Physical Review C},
number = 6,
volume = 99,
place = {United States},
year = {2019},
month = {6}
}

Journal Article:
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