Proton decay catalyzed by a monopole: The ratio ofe+toe+π0final states

Abstract

We compute the ratio $\ensuremath{\sigma}(p+M\ensuremath{\rightarrow}M+{e}^{+}+{\ensuremath{\pi}}^{0}):\ensuremath{\sigma}(p+M\ensuremath{\rightarrow}M+{e}^{+})$ using pole dominance for $P$-wave pion emission from the proton and soft-pion techniques for $S$-wave pion emission. In this paper we neglect the form factor of the baryon-number-violating condensate, and we conclude that the purely hadronic factors together with phase space enhance the ${e}^{+}$ over the ${e}^{+}{\ensuremath{\pi}}^{0}$ final state by a factor of \ensuremath{\simeq} 4.