JEAN-CLAUDE GUILLOT
WEAK INTERACTIONS IN A BACKGROUND OF A
UNIFORM MAGNETIC FIELD. A MATHEMATICAL
MODEL FOR THE INVERSE β DECAY.I.
(104K, LateX)
ABSTRACT. In this paper we consider a mathematical model for the in-
verse 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.