Nucleon-nucleon scattering with perturbative pions: The uncoupled $P$-wave channels

TL;DR

This paper investigates nucleon-nucleon scattering in uncoupled P-wave channels using an effective field theory with perturbative pions, achieving good agreement with experimental data up to 400 MeV and addressing convergence issues.

Contribution

It introduces a novel method combining renormalization and fitting to improve EFT convergence in P-wave channels with perturbative pions at higher momenta.

Findings

EFT results agree with Nijmegen analysis up to 400 MeV

Addresses longstanding EFT convergence problems in P-waves

Proposes a new approach combining renormalization and fitting

Abstract

The uncoupled $P$-wave channels of nucleon-nucleon scattering are studied in an effective field theory (EFT) including a perturbative dibaryon field and perturbative pions. Good agreement between EFT results and the Nijmegen partial wave analysis is observed up to a center-of-mass momentum $k \approx 400$ MeV. Using a method that combines renormalization and fitting together, the long-standing convergence problem of EFTs in these channels with perturbative pions, for momenta above the pion mass is addressed from a new perspective.