Abstract
A three-charge-particle system (p, μ − , p + ) with an additional matter-antimatter, i.e. p–p + , nuclear interaction is the subject of this work. Specifically, we carry out a few-body computation of the following protonium formation reaction: p + (p + μ − ) 1 s → (pp + ) 1s + μ − , where p + is a proton, p is an antiproton, μ − is a muon, and a bound state of p + and its counterpart p is a protonium atom: Pn = (pp + ). The low-energy cross sections and rates of the Pn formation reaction are computed in the framework of a Faddeev-like equation formalism. The strong p–p + interaction is approximately included in this calculation.
Highlights
Obtaining and storing of low-energy antiprotons (p) is of significant scientific and practical interest and importance in current research in atomic and nuclear physics [1,2,3,4]
By comparing the properties of the hydrogen atom H and Hit would be possible to test the fundamentals of physics, such as CPT theorem [5]
The main goal of this work is to carry out a reliable quantum-mechanical computation of the cross sections and corresponding rates of the title Pn formation reaction at low and very low collision energies
Summary
Obtaining and storing of low-energy antiprotons (p) is of significant scientific and practical interest and importance in current research in atomic and nuclear physics [1,2,3,4]. The following three-charge-particle reaction is one of them: First of all, this collision represents a Coulomb three-body system and has been considered in many theoretical works in which different methods and computational techniques have been applied [18–. The reaction (3) is considered at low energies, i.e. well below the three-body break-up threshold, the Faddeev-type components are quadratically integrable over the internal target variables r23 and r13. Within this formalism the asymptotic of the full three-body wave function contains two parts corresponding to two open channels [32]
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