Analytic solution for kinetic equilibrium with respect to β-processes in nucleon plasmas with relativistic pairs

Abstract

The analytic solution is obtained describing kinetic equilibrium of the β-processes in the nucleonic plasma with relativistic pairs. The nucleons (n, p) are supposed to be non-relativistic and non-degenerate, while the electrons and positrons are ultra-relativistic due to high temperature (T > 6·10 9 K), or high density (ρ > µ10 6 g/cm 3 ), or both, where µ is a number of nucleons per one electron. The consideration is simplified because of the analytic connection of the density with the electron chemical potential in the ultra-relativistic plasma, and Gauss representation of Fermi functions. Electron chemical potential and number of nucleons per one initial electron are calculated as functions of ρ and T .

A Multidimensional Multicomponent Gas Dynamic with the Neutrino Transfer in Gravitational Collapse

“…In a simplified description of kinetics I take into account the relaxation of number of electrons, Y e , to β-equilibrium Y eq e (ρ, T) from [48]…”

Nonequilibrium Layer in the Crust of Neutron Stars and Nonequilibrium β-Processes in Astrophysics

“…An example of such a situation arises at the collapse stage of a star at densities ρ < 10 12 g cm -3 and temperatures 5 × 10 9 K < T < 10 10 K. The matter is transparent to neutrinos and there is no equilibrium for it, while there exists detailed balance for nuclear reactions. An important special case is the kinetic equilibrium in β-processes [25,26], when the total rate of decrease in R N is equal to the total rate of its increase, i.e., R N remains constant.…”