Inverse beta-decay of arbitrarily polarized neutrons in a magnetic field

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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16 pages, Latex, 5 pslatex files for figures (Some new material added and mistakes corrected)

Scientific paper

10.1007/BF=

We calculate the cross section of the inverse beta decay process, $\nu_e+n\to p+e$, in a background magnetic field which is much smaller than $m_p^2/e$. Using exact solutions of the Dirac equation in a constant magnetic field, we find the cross section for arbitrary polarization of the initial neutrons. The cross section depends on the direction of the incident neutrino even when the initial neutron is assumed to be at rest and has no net polarization. Possible implications of the result are discussed.

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