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

Jean-Claude Guillot

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arXiv · 1901.10742

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

Jean-Claude Guillot

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Abstract

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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BibTeX RIS

Jean-Claude Guillot. 2021-10-30. Spectral theory for the weak decay of muons in a uniform magnetic field. https://arxiv.org/abs/1901.10742

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