Extraction of baryonia from the lightest anti-protonic atoms

TL;DR

This paper analyzes anti-protonic hydrogen and helium atoms to extract baryonia information, comparing experimental data with theoretical models, and discusses the implications of quasi-bound states and hyperfine structures.

Contribution

It introduces a detailed analysis of anti-protonic atoms using updated and previous Paris Nar{N} interaction potentials, highlighting the effects of quasi-bound states.

Findings

Level shifts and widths are expressed in terms of scattering lengths and volumes.

Comparison shows differences between 2009 and 1999 Paris Nar{N} potentials.

Effects of Nar{N} quasi-bound states are discussed.

Abstract

Anti-protonic hydrogen and helium atoms are analyzed. Level shifts and width are expressed in terms of $\bar{p}$-nucleon sub-threshold scattering lengths and volumes. Experimental data are compared to results obtained from the 2009 version of the Paris $N\bar{N}$ interaction potential. Comparison with 1999 version is also made. Effects of $N\bar{N}$ quasi-bound states are discussed. Atomic 2P hyperfine structure is calculated for antiprotonic deuterium and the significance of new measurements is indicated.