Renormalization of one-pion exchange in chiral effective field theory for antinucleon-nucleon scattering

Abstract

The renormalization of iterated one-pion exchange (OPE) is studied in chiral effective field theory $(\ensuremath{\chi}\mathrm{EFT})$ for the antinucleon-nucleon $(\overline{N}N)$ system. The OPE potential is cut off at a certain distance and contact interactions are represented by a complex spherical well with the same radius. We investigate the dependence on the cutoff radius of the phase shifts, inelasticities, and mixing angles for the low partial waves in $\overline{N}N$ scattering. We show that renormalization requires additional contact interactions compared to the expectation based on naive dimensional analysis. Results after renormalization are compared with the state-of-the-art energy-dependent partial-wave analysis of $\overline{N}N$ data. We compare our conclusions with applications of $\ensuremath{\chi}\mathrm{EFT}$ to the nucleon-nucleon system.