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Atoms 2018, 6(2), 18; https://doi.org/10.3390/atoms6020018

Influence of the p ¯ -p Nuclear Interaction on the Rate of the Low-Energy p ¯ + H μ → ( p ¯ p ) α + μ − Reaction

1
Business Computing Research Laboratory, St. Cloud State University, St. Cloud, MN 56301-4498, USA
2
Department of Information Systems, St. Cloud State University, St. Cloud, MN 56301-4498, USA
3
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
(This article belongs to the Section Atomic, Molecular and Nuclear Spectroscopy and Collisions)
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Abstract

The influence of an additional strong p ¯ -p nuclear interaction in a three-charge-particle system with arbitrary masses is investigated. Specifically, the system of p ¯ , μ , and p is considered in this paper, where p ¯ is an antiproton, μ 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: p ¯ + H μ ( 1 s ) ( p ¯ p ) α + μ . Here, H μ ( 1 s ) is a ground state muonic hydrogen, i.e., a bound state of p and μ . A bound state of p and its antimatter counterpart p ¯ is a protonium atom in a quantum atomic state α , i.e., P n = ( p ¯ p ) α . The low-energy cross sections and rates of the P n formation reaction are computed in the framework of coupled Faddeev-Hahn-type equations. The strong p ¯ -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. View Full-Text
Keywords: slow antiprotons; muonic hydrogen; protonium; few-body systems slow antiprotons; muonic hydrogen; protonium; few-body systems
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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.

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