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

2019/01/30 by Jean‐Claude Guillot, Guillot, Jean-Claude
Engineering · Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Muon and positron interactions and applications #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1901.10742

openalex publication_date 2019/01/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Spectral Theory near Thresholds for Weak Interactions with Massive Particles

Related

• Weak interactions in a background of a uniform magnetic field. A mathematical model for the inverse beta decay.I
• A mathematical model for the Fermi weak interactions
• Spectral Theory near Thresholds for Weak Interactions with Massive Particles
• Weak-Interaction Corrections to the Muon Magnetic Moment and to Muonic-Atom Energy Levels
• On the Muon Decay Parameters