- 19-12 Jean-Claude Guillot
- SPECTRAL THEORY FOR THE WEAK DECAY OF MUONS IN
A UNIFORM MAGNETIC FIELD
Jan 29, 19
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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 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 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.
Decay of muons.pdf.mm )