On the behavior of the short-range pair correlation function in a mixture of two-component plasma

Astronomy and Astrophysics – Astrophysics

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Astrophysics, Binary Mixtures, Dense Plasmas, Nuclear Reactions, Particle Interactions, Plasma Composition, Correlation, Helium Plasma, Hydrogen Plasma, Quantum Statistics, Stellar Structure

Scientific paper

The short-range behavior of the pair correlation function in a mixture of two-component plasma is investigated. The method which has been adopted involves the evaluation of the contribution to a pair correlation function of interactions between particles 1 and 2, using a quantum statistical mechanical treatment, and the contribution of all other interactions by using the Wigner-Kirkwood expansion in powers of h2. The short-range behavior of the pair correlation function is dominated by the tunnel effect. The results have been applied to the computation of the enhancement of the nuclear reaction rate in dense stellar matter existing in a form of binary mixture of H+ and He++ embedded in a uniform neutralizing background of degenerate electron gas.

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