A Theoretical Study of Proton Lifetimes under GUTs Taking Fourth Generation of Leptons and Quarks into Account

Abstract

In this paper one most prolific problem – namely, proton lifetimes under SO(10) Grand Unified Theories (GUTs)  has been discussed. Proton lifetimes have been calculated in three kinetic models of Kane & Karl[1]: (a) the static model(NR) in which the q^c is taken at rest (p = 0),(b) the recoil model(REC) in which p/m_q~ 3/4, and (c)the relativistic model(R) in which the q^c mass is neglected(m_q = 0). The result has been improved by introducing the contribution of higher order generation of leptons and quarks and proton lifetimes came outof the order of 10³² yr.