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Two-pion exchange contributions to the nucleon-nucleon interaction in covariant baryon chiral perturbation theory

2020/07/31 by Yang Xiao, Chun-Xuan Wang, Jun-Xu Lu +2 · 16 citations
Physics and Astronomy · #Baryon #Chiral perturbation theory #Covariant transformation #Mathematical physics #Nuclear physics research studies #Nucleon #Particle physics #Particle physics theoretical and experimental studies #Perturbation theory (quantum mechanics) #Physics #Pion #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Relativistic quantum chemistry #hep-ph #nucl-th

paper · pdf · doi:10.1103/physrevc.102.054001

published in Physical Review C 102(5) (American Institute of Physics)

arxiv created 2020/11/12 · openalex publication_date 2020/11/13 · arxiv updated 2020/11/18 · openalex created_date 2020/11/23 · openalex updated_date 2026/07/27

Abstract

Employing the covariant baryon chiral perturbation theory, we calculate the leading and next-to-leading order two-pion exchange (TPE) contributions to NN interaction up to order O(p3). We compare the so-obtained NN phase shifts with 2\ensuremath≤L\ensuremath≤6 and mixing angles with 2\ensuremath≤J\ensuremath≤6 with those obtained in the nonrelativistic baryon chiral perturbation theory, which allows us to check the relativistic corrections to the medium-range part of NN interactions. We show that the contributions of relativistic TPE are more moderate than those of the nonrelativistic TPE. The relativistic corrections play an important role in F waves especially the 3F2 partial wave. Moreover, the relativistic results seem to converge faster than the nonrelativistic results in almost all the partial waves studied in the present work, consistent with the studies performed in the one-baryon sector.

Citations