Sao Paulo potential as a tool for calculating S factors of fusion reactions in dense stellar matter

Journal Article · Mon Oct 15 04:00:00 EDT 2007 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.76.045802· OSTI ID:21067845

Gasques, L R; Beard, M; Wiescher, M ^[1]; Afanasjev, A V ^[1]; Lubian, J ^[2]; Neff, T ^[3]; Yakovlev, D G ^[4]

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1. Department of Physics and The Joint Institute for Nuclear Astrophysics, University of Notre Dame, Notre Dame, Indiana 46556 (United States)
2. Instituto de Fisica, Universidade Federal Fluminense, Av. Litoranea s/n, 24210-340 Niteroi, Riode Janeiro (Brazil)
3. NSCL, Michigan State University, East Lansing, Michigan 48824 (United States)
4. Ioffe Physico-Technical Institute, Politekhnicheskaya 26, RU-194021 St. Petersburg (Russian Federation)

The goal of this paper is to test and justify the use of the Sao Paulo potential model for calculating astrophysical S factors for reactions involving stable and neutron-rich nuclei. In particular, we focus on the theoretical description of S factors at low energies. This is important for evaluating the reaction rates in dense stellar matter. We calculate the S factors for a number of reactions ({sup 16}O+{sup 16}O, {sup 20}O+{sup 20}O, {sup 20}O+{sup 26}Ne, {sup 20}O+{sup 32}Mg, {sup 26}Ne+{sup 26}Ne, {sup 26}Ne+{sup 32}Mg, {sup 32}Mg+{sup 32}Mg, {sup 22}O+{sup 22}O, {sup 24}O+{sup 24}O) with the Sao Paulo potential in the framework of a one-dimensional barrier penetration model. This approach can be easily applied for many other reactions involving different isotopes. To test the consistency of the model predictions, we compare our calculations with those performed within the coupled-channels and fermionic molecular dynamics models. Calculated S factors are parametrized by a simple analytic formula. The main properties and uncertainties of reaction rates (appropriate to dense matter in cores of massive white dwarfs and crusts of accreting neutron stars) are outlined.

• OSTI ID: 21067845
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 4 Vol. 76; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ASTROPHYSICS
COMPARATIVE EVALUATIONS
COUPLED CHANNEL THEORY
FERMIONS
HEAVY ION FUSION REACTIONS
MAGNESIUM 32
MOLECULAR DYNAMICS METHOD
NEON 26
NEUTRON STARS
NEUTRON-RICH ISOTOPES
NUCLEAR MATTER
NUCLEAR POTENTIAL
NUCLEAR REACTION KINETICS
OXYGEN 16
OXYGEN 20
OXYGEN 22
OXYGEN 24