Weak interactions in a background of a uniform magnetic field. A mathematical model for the inverse beta decay.I
arXiv:1502.05524
Abstract
In this paper we consider a mathematical model for the inverse beta 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 selfadjoint and has a ground state. We study its essential spectrum and determine its spectrum. Conditions for uniqueness of ground state are given. The coupling constant is supposed suffciently small.
The proof of theorem 4.4 is not corrected in this preprint