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Pré-Publication, Document De Travail Année : 2019

Spectral theory for the weak decay of muons in a uniform magnetic field.

Résumé

In this article we consider a mathematical model for the weak decay of muons in a uniform magnetic field according to the Fermi theory of weak interactions with V-A coupling. With this model we associate a Hamil-tonian with cutoffs in an appropriate Fock space. No infrared regularization is assumed. The Hamiltonian is self-adjoint and has a unique ground state. We specify the essential spectrum and prove the existence of asymptotic fields from which we determine the absolutely continuous spectrum. The coupling constant is supposed sufficiently small.
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hal-01998351 , version 1 (29-01-2019)

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Jean-Claude Guillot. Spectral theory for the weak decay of muons in a uniform magnetic field.. 2019. ⟨hal-01998351⟩
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