Low-energy three-body collisions between an antiproton p̅ and muonic hydrogen atom Hμ

Abstract

A few-body treatment is performed for two low-energy three-body collisions with participation of heavy charge particles such as an antiproton (${\text{\bar p}}$p¯), deuterium (D), tritium (T) and a negative muon (μ–). Specifically, the following reactions are considered: ${\text{\bar p}} + {\left({{\text{D}}{\mu ^ - }} \right)_{{\text{ls}}}} \to {\left({{\text{\bar pD}}} \right)_\alpha } + {\mu ^ - }$p¯+(Dμ−)ls→(p¯D)α+μ− and ${\text{\bar p}} + {\left({{\text{T}}{\mu ^ - }} \right)_{{\text{ls}}}} \to {\left({{\text{\bar pT}}} \right)_\alpha } + {\mu ^ - }$p¯+(Tμ−)ls→(p¯T)α+μ−. The final state antinucleon-nucleon (${\text{\bar N}}$N¯N) interaction is included in these calculations and its influence on the cross sections and rates is estimated.