Proton decays and neutron oscillations in the rishon model

Abstract

We analyze proton decays and neutron oscillations in the rishon model. Proton decay is forbidden in lowest order of the compositeness scale Λ H. In a one-generation rishon model, the leading proton decays violate B− L (e.g., p→ νπ +). The lifetime is given by τ p∼ Λ H 8/( U R 2 m p 7), where U R∼ M(W R) is the mass scale of the right-handed W boson and m p is the proton mass. For U R∼500 GeV, the obtained limit for the compositeness scale is Λ H≳10 8 GeV. Neutron oscillations are also proportional to Λ H 8 and cannot be detected in the foreseeable future. All of these predictions may depend strongly on the understanding of higher generations of quarks and leptons within the model.