Renormalization of NN Interaction with Relativistic Chiral Two Pion Exchange

Abstract

The renormalization of the NN interaction with the Chiral Two Pion Exchange Potential computed using relativistic baryon chiral perturbation theory is considered. The short distance singularity reduces the number of counter-terms to about a half as those in the heavy-baryon expansion. Phase shifts and deuteron properties are evaluated and a general overall agreement is observed.

arXiv comment13 pages, 4 figures. Reference included. Typos corrected. Appendix and discussion added

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• Perturbative renormalizability of chiral two pion exchange in nucleon-nucleon scattering
• Perturbative Renormalizability of Chiral Two Pion Exchange in Nucleon-Nucleon Scattering: P- and D-waves
• Renormalization of chiral two-pion exchange NN interactions. Momentum vs. coordinate space
• Similarity Renormalization Group Evolution of Chiral Effective Nucleon-Nucleon Potentials in the Subtracted Kernel Method Approach
• Renormalization of chiral two-pion exchange NN interactions with Delta-excitations: Central Phases and the Deuteron
• $NN$ scattering in ${}^3{S}_1{-}^3{D}_1$ channels of EFT ($/\pi$)
• Peripheral nucleon-nucleon scattering at next-to-next-to-leading order in SU(3) heavy baryon chiral perturbation theory
• Renormalizing the Schrodinger Equation for NN scattering
• Covariant propagator and chiral power counting
• Anomalous mapping between pionfull and pionless EFT's
• Renormalization of One-Pion Exchange in Higher Partial Waves in Chiral Effective Field Theory for Antinucleon-Nucleon System