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 ($\chi$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 $\chi$EFT to the nucleon-nucleon system.

33 pages, 22 figures and 3 tables

References in corpus (8)

• Chiral effective field theory and nuclear forces
• Short-range nuclear forces in singlet channels
• Renormalization of Singular Potentials and Power Counting
• Energy-dependent partial-wave analysis of all antiproton-proton scattering data below 925 MeV/c
• Renormalization Group Analysis of Boundary Conditions in Potential Scattering
• Baryon-number violation by two units and the deuteron lifetime
• Antiproton physics
• $N\bar{N}$ Scattering at NLO Order in An Effective Theory