Spectral Theory near Thresholds for Weak Interactions with Massive Particles
Mathematical Physics
2014-01-06 v1 math.MP
Spectral Theory
Abstract
We consider a Hamiltonian describing the weak decay of the massive vector boson Z0 into electrons and positrons. We show that the spectrum of the Hamiltonian is composed of a unique isolated ground state and a semi-axis of essential spectrum. Using a suitable extension of Mourre's theory, we prove that the essential spectrum below the boson mass is purely absolutely continuous.
Cite
@article{arxiv.1401.0649,
title = {Spectral Theory near Thresholds for Weak Interactions with Massive Particles},
author = {Jean-Marie Barbaroux and Jérémy Faupin and Jean-Claude Guillot},
journal= {arXiv preprint arXiv:1401.0649},
year = {2014}
}
Comments
45 pages