Influence of the p ¯ -p Nuclear Interaction on the Rate of the Low-Energy p ¯ + H μ → ( p ¯ p ) α + μ − Reaction
Business Computing Research Laboratory, St. Cloud State University, St. Cloud, MN 56301-4498, USA
Department of Information Systems, St. Cloud State University, St. Cloud, MN 56301-4498, USA
Instituto de Física Teórica, UNESP–Universidade Estadual Paulista, São Paulo 01140, SP, Brazil
Author to whom correspondence should be addressed.
Received: 11 December 2017 / Revised: 30 March 2018 / Accepted: 1 April 2018 / Published: 9 April 2018
The influence of an additional strong
-p nuclear interaction in a three-charge-particle system with arbitrary masses is investigated. Specifically, the system of
, and p is considered in this paper, where
is an antiproton,
is a muon and p is a proton. A numerical computation in the framework of a detailed few-body approach is carried out for the following protonium (antiprotonic hydrogen) formation three-body reaction:
is a ground state muonic hydrogen, i.e., a bound state of p and
. A bound state of p
and its antimatter counterpart
is a protonium atom in a quantum atomic state
. The low-energy cross sections and rates of the
formation reaction are computed in the framework of coupled Faddeev-Hahn-type equations. The strong
-p interaction is included in these calculations within a first order approximation. It was found, that the inclusion of the nuclear interaction results in a quite significant correction to the rate of the three-body reaction.
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Sultanov, R.A.; Guster, D.; Adhikari, S.K. Influence of the p ¯ -p Nuclear Interaction on the Rate of the Low-Energy p ¯ + H μ → ( p ¯ p ) α + μ − Reaction. Atoms 2018, 6, 18.
Sultanov RA, Guster D, Adhikari SK. Influence of the p ¯ -p Nuclear Interaction on the Rate of the Low-Energy p ¯ + H μ → ( p ¯ p ) α + μ − Reaction. Atoms. 2018; 6(2):18.
Sultanov, Renat A.; Guster, Dennis; Adhikari, Sadhan K. 2018. "Influence of the p ¯ -p Nuclear Interaction on the Rate of the Low-Energy p ¯ + H μ → ( p ¯ p ) α + μ − Reaction." Atoms 6, no. 2: 18.
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