Relativistic theory of inverse beta-decay of polarized neutron in strong magnetic field

The relativistic theory of the inverse beta-decay of polarized neutron, \(\nu _{e} + n \to p + e ^{-}\), in strong magnetic field is developed. For the proton wave function we use the exact solution of the Dirac equation in the magnetic filed that enables us to account exactly for effects of the pro...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2006-06
Main Authors: Shinkevich, Sergey, Studenikin, Alexander
Format: Article
Language:English
Subjects:
Beta decay
Cross-sections
Dirac equation
Magnetic fields
Magnetic moments
Magnetism
Neutrinos
Nucleons
Polarization
Protons
Recoil
Relativism
Relativistic effects
Relativistic theory
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The relativistic theory of the inverse beta-decay of polarized neutron, \(\nu _{e} + n \to p + e ^{-}\), in strong magnetic field is developed. For the proton wave function we use the exact solution of the Dirac equation in the magnetic filed that enables us to account exactly for effects of the proton momentum quantization in the magnetic field and also for the proton recoil motion. The effect of nucleons anomalous magnetic moments in strong magnetic fields is also discussed. We examine the cross section for different energies and directions of propagation of the initial neutrino accounting for neutrons polarization. It is shown that in the super-strong magnetic field the totally polarized neutron matter is transparent for neutrinos propagating antiparallel to the direction of polarization. The developed relativistic approach can be used for calculations of cross sections of the other URCA processes in strong magnetic fields.
ISSN:2331-8422
DOI:10.48550/arxiv.0402154