Mixing of two-level unstable systems
High Energy Physics - Phenomenology
2011-09-13 v2
Abstract
Unstable particles can be consistently described in the framework of quantum field theory. Starting from the full S-matrix amplitudes of B^+ --> (2 pi, 3 pi) l nu decays as examples in the energy region where the rho-omega resonances are dominating, we propose a prescription for the mixing of two quasi `physical' unstable states that differs from the one obtained from the diagonalization of the M -i*Gamma/2 non-hermitian hamiltonian. We discuss some important consequences for CP violation in the K_L - K_S system.
Cite
@article{arxiv.hep-ph/9805201,
title = {Mixing of two-level unstable systems},
author = {G. Lopez Castro and J. H. Munoz and J. Pestieau},
journal= {arXiv preprint arXiv:hep-ph/9805201},
year = {2011}
}
Comments
7 pages, Latex. A factor 1/2 removed from r.h.s. of Eqs. (12)-(15). Conclusions unchanged