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arXiv · 1502.05524

Weak interactions in a background of a uniform magnetic field. A mathematical model for the inverse beta decay.I

Jean-Claude Guillot
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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.

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Jean-Claude Guillot. 2015-02-19. Weak interactions in a background of a uniform magnetic field. A mathematical model for the inverse beta decay.I. https://arxiv.org/abs/1502.05524

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