English

Matrix elements of four-quark operators and \Delta L=2 hyperon decays

High Energy Physics - Phenomenology 2013-07-29 v1 Nuclear Theory

Abstract

The study of neutrinoless double beta decays of nuclei and hyperons require the calculation of hadronic matrix elements of local four-quark operators that change the total charge by two units \Delta Q=2 . Using a low energy effective Lagrangian that induces these transitions, we compute these hadronic matrix elements in the framework of the MIT bag model. As an illustrative example we evaluate the amplitude and transition rate of \Sigma- -> p e- e-, a decay process that violates lepton number by two units (\Delta L=2). The relevant matrix element is evaluated without assuming the usual factorization approximation of the four-quark operators and the results obtained in both approaches are compared.

Keywords

Cite

@article{arxiv.1301.3448,
  title  = {Matrix elements of four-quark operators and \Delta L=2 hyperon decays},
  author = {C. Barbero and Ling-Fong Li and G. Lopez Castro and A. Mariano},
  journal= {arXiv preprint arXiv:1301.3448},
  year   = {2013}
}

Comments

13 pages, 2 .eps figures

R2 v1 2026-06-21T23:09:52.591Z