Dimesoatoms production in high energy collisions

TL;DR

This paper investigates the production of meson bound states (dimesoatoms) and free meson pairs in high-energy collisions, providing precise calculations of their yields and transition amplitudes relevant for experimental measurements.

Contribution

It introduces an exact Coulomb wave function approach to accurately calculate dimesoatom yields and transition amplitudes, advancing the understanding of meson bound state production in relativistic collisions.

Findings

Calculated yield of nS dimesoatom states with high accuracy

Estimated production probabilities of DMA versus free meson pairs

Derived the DMA transition amplitude from 1S to 2P state

Abstract

The production of two meson electromagnetic bound states and free meson pairs $\pi^+\pi^-$, $K^+K^-$, $\pi^+ K^{\mp}$ in relativistic collisions has been considered. It is shown that making use of the exact Coulomb wave function for dimesoatom (DMA) allows one to calculate the yield of any nS state with desired accuracy. The relative probabilities of production of DMA and meson pairs in the free state are estimated. The amplitude of DMA transition from 1S to 2P state, which is essential for the pionium Lamb shift measurements, has been obtained.