Extraction of baryonia from the lightest anti-protonic atoms

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.

19 pages, 2 figures, 12 tables; added 2 tables giving informations on antiproton interaction; added discussion on charge-exchange contributions; typo corrected; published in PRC