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.
Cite this paper
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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