WEAK INTERACTIONS IN A BACKGROUND OF A UNIFORM MAGNETIC FIELD. A MATHEMATICAL MODEL FOR THE INVERSE β DECAY.I. - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2017

WEAK INTERACTIONS IN A BACKGROUND OF A UNIFORM MAGNETIC FIELD. A MATHEMATICAL MODEL FOR THE INVERSE β DECAY.I.

Résumé

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 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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Dates et versions

hal-01585239 , version 1 (11-09-2017)

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  • HAL Id : hal-01585239 , version 1

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Jean-Claude Guillot. WEAK INTERACTIONS IN A BACKGROUND OF A UNIFORM MAGNETIC FIELD. A MATHEMATICAL MODEL FOR THE INVERSE β DECAY.I.. 2017. ⟨hal-01585239⟩
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