Antiproton low-energy collisions with Ps-atoms and true muonium atoms (${\mu }^{+}{\mu }^{-}$)

Abstract

Three-charge-particle collisions with participation of ultra-slow antiprotons ($\bar{\mathrm{p}}$) is the subject of this work. Specifically we compute the total cross sections and corresponding thermal rates of the following three-body reactions: $\bar{\mathrm{p}}+(e^{+}{e}^{-})\to \bar{\mathrm{H}}+e^{-}$ and $\bar{\mathrm{p}}+({\mu }^{+}{\mu }^{-})\to {\bar{\mathrm{H}}}_{\mu }+{\mu }^{-}$, where $e^{-}({\mu }^{-})$ is an electron (muon) and $e^{+}({\mu }^{+})$ is a positron (antimuon) respectively, $\bar{\mathrm{H}}=(\bar{\mathrm{p}}{e}^{+})$ is an antihydrogen atom and ${\bar{\mathrm{H}}}_{\mu }=(\bar{\mathrm{p}}{\mu }^{+})$ is a muonic antihydrogen atom, i.e. a bound state of $\bar{\mathrm{p}}$ and ${\mu }^{+}$. A set of two-coupled few-body Faddeev-Hahn-type (FH-type) equations is numerically solved in the framework of a modified close-coupling expansion approach.

arXiv comment6 pages, 1 table, 1 figure, Proceedings of the 11th International Conference on Low Energy Antiproton Physics: LEAP 2013, Uppsala Sweden. Submitted to Hyperfine Interactions