Antinucleon-nucleon interaction at next-to-next-to-next-to-leading order in chiral effective field theory

Abstract

Abstract Results for the antinucleon-nucleon N ¯ N $$ \left(\overline{N}\;N\right) $$ interaction obtained at next-to-next-to-next-to-leading order in chiral effective field theory (EFT) are reported. A new local regularization scheme is used for the pion-exchange contributions that has been recently suggested and applied in a pertinent study of the N N force within chiral EFT. Furthermore, an alternative strategy for estimating the uncertainty is utilized that no longer depends on a variation of the cutoffs. The low-energy constants associated with the arising contact terms are fixed by a fit to the phase shifts and inelasticities provided by a phase-shift analysis of p ¯ p $$ \overline{p}p $$ scattering data. An excellent description of the N ¯ N $$ \overline{N}\;N $$ amplitudes is achieved at the highest order considered. Moreover, because of the quantitative reproduction of partial waves up to J = 3, there is also a nice agreement on the level of p ¯ p $$ \overline{p}p $$ observables. Specifically, total and integrated elastic and charge-exchange cross sections agree well with the results from the partial-wave analysis up to laboratory energies of 300 MeV, while differential cross sections and analyzing powers are described quantitatively up to 200-250 MeV. The low-energy structure of the N ¯ N $$ \overline{N}\;N $$ amplitudes is also considered and compared to data from antiprotonic hydrogen.

Keywords

• Chiral Lagrangians
• Effective Field Theories