Neutrinos decoupled from ββ-processes and supernova explosion

preprint2012arXivOpen access

Abstract

Based on the gravitational collapse time-scale is larger than the weak interaction time-scale at core densities ρ>1011gr/cm3ρ> 10^{11} {gr}/ {cm}^{3}, we approximately use the ββ-equilibrium condition and particle number conservations to calculate the number and energy densities of neutrino sphere in the process of gravitational core collapse towards the formation of a proto-neutron star. We find that at core densities ρdec>1012gr/cm3ρ_{dec} > 10^{12} {gr}/ {cm}^{3}, the ββ-equilibrium condition cannot be satisfied consistently with charge, baryon and lepton number conservations, leading to the presence of excess neutrinos decoupling from the ββ-equilibrium. These excess neutrinos interact with nucleons and electrons via the neutral current channel only and their diffusion time is about 10−210^{-2} sec. The excess neutrino flux could play an important role in an Supernova explosion, provided the fraction of excess neutrinos over all neutrinos is at least one present.

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