Modified Debye-Huckel Electron Shielding and Penetration Factor

Abstract

Screened potential, modified by non standard electron cloud distributions responsible for the shielding effect on fusion of reacting nuclei in astrophysical plasmas, is derived. The case of clouds with depleted tails in space coordinates is discussed. The modified screened potential is obtained both from statistical mechanics arguments based on fluctuations of the inverse of the Debye-Huckel radius and from the solution of a Bernoulli equation used in generalized statistical mechanics. Plots and tables useful in evaluating penetration probability at any energy are provided.

9 pages, 3 figures, 3 tables

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• Analytical predictions of non-Gaussian distribution parameters for stellar plasmas
• Nuclear electron capture rate in stellar interiors and the case of 7Be
• The role of correlation entropy in nuclear fusion in liquid lithium, indium and mercury
• Relativistic Coulomb Screening in Pulsational Pair Instability Supernovae
• Electron capture rates in a plasma