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

We compute the ratio $\sigma (p+M\to M+e^{+}+{\pi }^0):\sigma (p+M\to M+e^{+})$ 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 $e^{+}{\pi }^0$ final state by a factor of ≃ 4.