Perturbative Renormalizability of Chiral Two Pion Exchange in Nucleon-Nucleon Scattering: P- and D-waves

TL;DR

This paper investigates the perturbative renormalizability of chiral two pion exchange in nucleon-nucleon scattering for p- and d-waves, demonstrating convergence and data reproduction within an effective field theory framework.

Contribution

It establishes a consistent power counting scheme by fully iterating one pion exchange at leading order, enabling perturbative treatment of two pion exchange.

Findings

Reproduces scattering data up to 300 MeV at NNLO

Shows convergence of EFT expansion up to 350 MeV

Provides a well-defined renormalization approach for chiral two pion exchange

Abstract

We study the perturbative renormalizability of chiral two pion exchange in nucleon-nucleon scattering for p- and d-waves within the effective field theory approach. The one pion exchange potential is fully iterated at the leading order in the expansion, a choice generating a consistent and well-defined power counting that we explore in detail. The results show that perturbative chiral two pion exchange reproduces the data up to a center-of-mass momentum of k_cm ~300 MeV at NNLO and that the effective field theory expansion convergences up to k_cm ~ 350 MeV.