Nuclear effects in protonium formation low-energy three-body reaction: p̄ + (pμ)_1s→ (p̄p)_α+μ⁻: Strong p̄–p interaction in p̄ + (pμ)_1s

Abstract

Abstract. A three-charge-particle system (p, μ − , p + ) with an additional matter-antimatter, i.e.p−p + , nuclear interaction is the subject of this work. Specifically, we carry out a few-body computation of the following protonium formation reaction:where p + is a proton,p is an antiproton, μ − is a muon, and a bound state of p + and its counterpartp is a protonium atom: Pn = (pp + ). The low-energy cross sections and rates of the Pn formation reaction are computed in the framework of a Faddeevlike equation formalism. The strongp−p + interaction is approximately included in this calculation.

Influence of the p ¯ -p Nuclear Interaction on the Rate of the Low-Energy p ¯ + H μ → ( p

“…This approximation is discussed at the end of this subsection. Next, a modified close coupling approach (MCCA) is applied in this work in order to solve the Faddeev-Hahn-type (FH-type) equations [28][29][30][31][32]. In other words, we carry out an expansion of the Faddeev-type components into eigenfunctions of the subsystem Hamiltonians [33,34].…”