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A three-charge-particle system (p̄, μ−, p+) with an additional matter-antimatter, i.e. p̄–p+, nuclear interaction is the subject of this work. Specifically, we carry out a few-body computation of the following protonium formation reaction: p̄ + (p+μ−)1s → (p̄p+)1s + μ−, where p+ is a proton, p̄ is an antiproton, μ− is a muon, and a bound state of p+ and its counterpart p̄ is a protonium atom: Pn = (p̄p+). The low-energy cross sections and rates of the Pn formation reaction are computed in the framework of a Faddeev-like equation formalism. The strong p̄–p+ interaction is approximately included in this calculation

Nuclear effects in protonium formation low-energy three-body reaction: p̄ + (pμ)1s→ (p̄p)α+μ−: Strong p̄–p interaction in p̄ + (pμ)1s