Barrier penetration at astrophysical energies

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Coulomb Potential, Nuclear Astrophysics, Potential Energy, Barrier Layers, Carbon Isotopes, Fusion, Nitrogen Isotopes

Scientific paper

Barrier penetration coefficients, which take into account the exponential nature of the tail of the nuclear potential, are evaluated analytically for energies well below the Coulomb barrier. The formulas allow a simple discussion of theoretical uncertainties in the nonresonant part of astrophysical fusion cross sections arising from uncertainties in the tail of the potential, in particular the diffuseness. The systems p + N-13 and C-12 + C-12 are studied in detail. The derived expressions may also be useful in alpha decay.

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