Effective short-range interaction for spin-singlet P-wave nucleon-nucleon scattering

TL;DR

This paper employs distorted-wave methods and effective field theory to analyze short-range interactions in spin-singlet P-wave nucleon-nucleon scattering, providing a renormalization approach and estimating the underlying physics scale.

Contribution

It introduces a renormalization scheme for P-wave scattering using effective field theory and distorted-wave methods, advancing understanding of short-range nuclear interactions.

Findings

Successful removal of pion exchange effects up to order Q^3

Renormalization of divergence with an order-Q^2 counterterm

Estimation of the underlying physics scale in P-wave scattering

Abstract

Distorted-wave methods are used to remove the effects of one- and two-pion exchange up to order Q^3 from the empirical 1P1 phase shift. The one divergence that arises can be renormalised using an order-Q^2 counterterm which is provided by the (Weinberg) power counting appropriate to the effective field theory for this channel. The residual interaction is used to estimate the scale of the underlying physics.