Renormalization of one-pion exchange in higher partial waves in chiral effective field theory for antinucleon-nucleon system

The renormalization of the iterated one-pion exchange (OPE) has been studied in chiral effective field theory (chi EFT) for the antinucleon-nucleon ((N)N) scattering in some partial waves (Phys. Rev. C 105, 054005 (2022)). In this paper, we go further for the other higher partial waves but with total angular momenta J <= 3 . Contact interactions are represented by a complex spherical well in the coordinate space. Changing the radius of the spherical well means changing the cutoff. We check the cutoff dependence of the phase shifts, in elasticities, and mixing angles for the partial waves and show that contact interactions are needed at leading order in channels where the singular tensor potentials of OPE are attractive. The results are compared with the energy-dependent partial-wave analysis of (N)N scattering data. Comparisons between our conclusions and applications of chi EFT to the nucleon -nucleon system are also discussed.

Automated summary

This paper studies the renormalization of the iterated one-pion exchange in chiral effective field theory for antinucleon-nucleon scattering. It further examines the higher partial waves with total angular momenta J ≤ 3 and shows the necessity of contact interactions in attractive singular tensor potential channels at leading order. The results are compared with energy-dependent partial-wave analysis of (N)N scattering data and the application of chi EFT to the nucleon-nucleon system is discussed.