Beta decay under the influence of a quantizing magnetic field

Mathematics – Probability

Scientific paper

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Beta Particles, Electron Gas, Neutron Stars, Quantum Mechanics, Stellar Evolution, Stellar Magnetic Fields, Degenerate Matter, Magnetic Effects, Magnetic Flux, Probability Distribution Functions, Radioactive Decay, Relativistic Particles, Supernovae

Scientific paper

Quantum effects which accompany beta decay and which arise in a strong magnetic field under conditions that produce a highly dense relativistic electron gas are studied. The total probability of beta decay in a relativistic degenerate electron gas is shown to increase linearly with increasing magnetic field strength. The beta decay probability and the probability for capture reaction are shown scaled to the probability for the same processes at H = 0, H/Hc, and the chemical potential mu, where H is the magnetic field. For situations arising during stellar collapse, the results show that the neutrino yield from regions of a star of varying densities and magnetic fields is not uniform. This effect may give rise not only to a recoil momentum of pulsars along the magnetic field direction, but also to an additional change in their direction.

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