Weak Interactions in a Background of a Uniform Magnetic Field. A Mathematical Model for the Inverse β Decay. I.

doi:10.4236/oalib.1104142

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Weak Interactions in a Background of a Uniform Magnetic Field. A Mathematical Model for the Inverse β Decay. I.

DOI: 10.4236/oalib.1104142, PP. 1-35

Jean-Claude Guillot

Subject Areas: Particle Physics, Functional Analysis

Keywords: Beta Decay, Uniform Magnetic Field, Weak Interactions, Spectral Theory

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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.

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Guillot, J. (2017). Weak Interactions in a Background of a Uniform Magnetic Field. A Mathematical Model for the Inverse β Decay. I.. Open Access Library Journal, 4, e4142. doi: http://dx.doi.org/10.4236/oalib.1104142.

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