Plasma influence on the neutrino - electron processes in a strong magnetic field

Abstract

An influence of the magnetized electron - positron plasma on the absorption and loss of the energy and momentum in a process of neutrino propagation is investigated. A total contribution of all crossed processes, $\nu \to \nu e^{-}{e}^{+}$, $\nu e^{-}\to \nu e^{-}$, $\nu e^{+}\to \nu e^{+}$, $\nu e^{-}{e}^{+}\to \nu$, is found for the first time, which appears not to depend on the chemical potential of electron-positron gas. Relatively simple expressions for the probability and mean losses of the neutrino energy and momentum are obtained, which are suitable for a quantitative analysis.

Comments: 8 pages, 1 ps figure, LaTeX, uses espcrc2.sty,epsf.sty, based on the talks presented at the Xth International Baksan School "Particles and Cosmology", Baksan Valley, Kabardino Balkaria, Russia, April 19-25, 1999 and the International Workshop "Particles in Astrophysics and Cosmology: From Theory to Observation", Valencia, Spain, May 3-8, 1999