Spectral Theory for a Mathematical Model of the Weak Interaction〞Part I: The Decay of the Intermediate Vector Bosons W㊣

作者：J M Barbaroux; J C Guillot

来源：Advances in Mathematical Physics, 2009, 2009: 1-52.

DOI：10.1155/2009/978903

<jats:p>We consider a Hamiltonian with cutoffs describing the weak decay of spin 1 massive bosons into the full family of leptons. The Hamiltonian is a self-adjoint operator in an appropriate Fock space with a unique ground state. We prove a Mourre estimate and a limiting absorption principle above the ground state energy and below the first threshold for a sufficiently small coupling constant. As a corollary, we prove the absence of eigenvalues and absolute continuity of the energy spectrum in the same spectral interval.</jats:p>