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

Journal Article · · Physical Review C
 [1];  [1];  [2]
  1. Tohoku Univ., Sendai (Japan)
  2. Texas A & M Univ.-Commerce, Commerce, TX (United States)
+ Show Author Affiliations

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.

Research Organization:
Texas A & M Univ.-Commerce, Commerce, TX (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
FG02-08ER41533
OSTI ID:
1529104
Alternate ID(s):
OSTI ID: 1546277
Journal Information:
Physical Review C, Vol. 99, Issue 6; ISSN 2469-9985
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 3 works
Citation information provided by
Web of Science

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A program for coupled-channels calculations with all order couplings for heavy-ion fusion reactions text January 1999

Figures / Tables (4)

FIG. 1(p. 2)figure FIG. 1
FIG. 2(p. 2)figure FIG. 2
FIG. 3(p. 3)figure FIG. 3
FIG. 4(p. 3)figure FIG. 4

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Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS