Analytic results for screened non-resonant nuclear reaction rates

Astronomy and Astrophysics – Astrophysics

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Nonresonance, Nuclear Astrophysics, Nuclear Fusion, Nuclear Reactions, Reaction Kinetics, Stellar Physics, Cosmology, Stellar Evolution

Scientific paper

This paper deals with the closed-form representation of the nonresonant nuclear reaction rate taking into account electron screening effects for the reacting particles. The basic physical principles concerning nuclear reactions in dense astrophysical plasmas are applied to derive the representation of the screened nuclear reaction rate integral. Taking advantage of the theory of Meijer's G-function it is shown that both the reaction rate integrals with and without screening corrections can be represented in closed form. Mathematical approximations for the reaction rate integral, till now considered as inevitable in the literature, are avoided and exact computable representations given.

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