TITLE:
Weak Interactions in a Background of a Uniform Magnetic Field. A Mathematical Model for the Inverse β Decay. I.
AUTHORS:
Jean-Claude Guillot
KEYWORDS:
Beta Decay, Uniform Magnetic Field, Weak Interactions, Spectral Theory
JOURNAL NAME:
Open Access Library Journal,
Vol.4 No.12,
December
19,
2017
ABSTRACT: In this paper we consider a mathematical model for the inverse β decay in a uniform magnetic field. With this model we associate a Hamiltonian with cutoffs in an appropriate Fock space. No infrared regularization is assumed. The Hamiltonian is self-adjoint and has a unique ground state. We study the essential spectrum and determine the spectrum. The coupling constant is supposed sufficiently small.