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

¹ Odessa College, Department of Mathematics, 201 W. University Blvd., Odessa, TX 79764, USA
² Instituto de Física Teórica, UNESP – Universidade Estadual Paulista, 01140 São Paulo, SP, Brazil

^* e-mail: rsultanov@odessa.edu; r.sultanov2@yahoo.com
^** e-mail: sk.adhikari@unesp.br; adhikari44@yahoo.com

Published online: 27 April 2022

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}}$$\overline{\text{p}}$), deuterium (D), tritium (T) and a negative muon (μ^–). Specifically, the following reactions are considered: ${\text{\bar p}} + {\left({{\text{D}}{\mu ^ - }} \right)_{{\text{ls}}}} \to {\left({{\text{\bar pD}}} \right)_\alpha } + {\mu ^ - }$$\overline{\text{p}}+{\left(\text{D}{\mu }^{-}\right)}_{\text{ls}}\to {\left(\overline{\text{p}}\text{D}\right)}_{\alpha }+{\mu }^{-}$ and ${\text{\bar p}} + {\left({{\text{T}}{\mu ^ - }} \right)_{{\text{ls}}}} \to {\left({{\text{\bar pT}}} \right)_\alpha } + {\mu ^ - }$$\overline{\text{p}}+{\left(\text{T}{\mu }^{-}\right)}_{\text{ls}}\to {\left(\overline{\text{p}}\text{T}\right)}_{\alpha }+{\mu }^{-}$. The final state antinucleon-nucleon (${\text{\bar N}}$$\overline{\text{N}}$N) interaction is included in these calculations and its influence on the cross sections and rates is estimated.