Renormalization of One-Pion Exchange in Higher Partial Waves in Chiral Effective Field Theory for Antinucleon-Nucleon System

Abstract

The renormalization of iterated one-pion exchange (OPE) has been studied in Chiral Effective Field Theory ($\chi$EFT) for the antinucleon-nucleon ($\overline{N}N$) scattering in some partial waves (Phys. Rev. C 105, 054005 (2022)). We go further for the other higher partial waves but with total angular momenta $J\le 3$ in this paper. Contact interactions are represented by a complex spherical well in coordinate space. Changing the radius of the spherical well means changing the cutoff. We check the cutoff dependence of the phase shifts, inelasticities, 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. Results are compared with the energy-dependent partial-wave analysis of $\overline{N}N$ scattering data. Comparisons between our conclusions and applications of $\chi$EFT to the nucleon-nucleon system are discussed as well.

26 pages, 3 tables and 13 figures. References are added according to the published version and the related texts are added or modified. arXiv admin note: substantial text overlap with arXiv:2203.06840

References in corpus (13)

• Chiral effective field theory and nuclear forces
• Renormalization of Singular Potentials and Power Counting
• Deconstructing triplet nucleon-nucleon scattering
• Subtractive renormalization of the NN scattering amplitude at leading order in chiral effective theory
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• 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
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• Renormalization of NN Interaction with Relativistic Chiral Two Pion Exchange
• $N\bar{N}$ Scattering at NLO Order in An Effective Theory
• Renormalization of One-Pion Exchange in Chiral Effective Field Theory for Antinucleon-Nucleon Scattering