Weak Interactions in a Background of a Uniform Magnetic Field. A Mathematical Model for the Inverse β Decay. I. - Open Access Library Journal

OALibJ > Vol.4 No.12, December 2017

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

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DOI: 10.4236/oalib.1104142 450 Downloads 1,031 Views Citations

Author(s)

Jean-Claude Guillot

Affiliation(s)

Centre de Mathématiques Appliquées, école Polytechnique-C.N.R.S, Palaiseau Cedex, France.

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.

KEYWORDS

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

Share and Cite:

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, 1-35. doi: 10.4236/oalib.1104142.

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