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.
Highlights
The first detection and exploration of antiprotons, p’s, [1] occurred more than a half of a century ago
This paper is devoted to another possible three-body process of the Pn formation reaction in which we compute the cross-section and rate of a collision between pand a muonic hydrogen atom Hμ, which is a bound state of p and a negative muon: p +1s →α + μ−
The last equation has been checked for all considered collision energies within the framework of the 1s, 1s + 2s and 1s + 2s + 2p modified close coupling approach (MCCA) approximations, i.e., Equations (13)
Summary
The first detection and exploration of antiprotons, p’s, [1] occurred more than a half of a century ago. Because in this three-body process a heavy particle, i.e., a proton, is transferred from one negative “center”, e− , to another, p, it would be difficult to apply a computational method based on an adiabatic (Born-Oppenheimer) approach [23] Experimentalists use another few-body reaction to produce Pn atoms, i.e., a collision between a slow pand a positively charged molecular hydrogen ion, i.e., H2+ :. This paper is devoted to another possible three-body process of the Pn formation reaction in which we compute the cross-section and rate of a collision between pand a muonic hydrogen atom Hμ , which is a bound state of p and a negative muon:. It is interesting to investigate the p-p nuclear interaction in the framework of the muonic three-body reaction (3) at low-energy collisions.
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