Astrophysical S-factors for fusion reactions involving C, O, Ne and Mg isotopes

D.G. Yakovlev1, M. Beard2, A.V. Afanasjev3, L.C. Chamon4, L.R. Gasques5, M. Wiescher2
1DTA, Ioffe Physical-Technical Institute, Politekhnicheskaya 26, 194021 Saint-Petersburg, Russia;
2Department of Physics & the Joint Institute for Nuclear Astrophysics, University of Notre Dame, Notre Dame, IN 46556, USA;
3Department of Physics and Astronomy, Mississippi State University, P.O. Drawer 5167, Mississippi 39762-5167, USA;
4Departamento de Fisica Nuclear, Instituto de Fisica, Universidade de Sao Paulo, Caixa Postal 66318, 05315-970, Sao Paulo, SP, Brazil;
5Centro de Fisica Nuclear da Universidade de Lisboa, Av. Prof. Gama Pinto 2, 1649-003 Lisboa, Portugal

Using the Sao Paulo potential and the barrier penetration formalism we have calculated the astrophysical factor S(E) for 946 fusion reactions involving stable and neutron-rich isotopes of C, O, Ne, and Mg for center-of-mass energies E varying from 2 MeV to ≈ 18–30 MeV (covering the range below and above the Coulomb barrier). We have parameterized the energy dependence S(E) by an accurate universal 9-parameter analytic expression. Also, we propose a simple analytic model for S(E) and parameterize the data with this model.

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