Electromagnetic corrections to the hadronic phase shifts in low energy pi+ p elastic scattering

TL;DR

This paper calculates electromagnetic corrections to hadronic phase shifts in low energy pi+ p elastic scattering, enabling more accurate extraction of purely hadronic interactions from experimental data.

Contribution

It introduces a relativised Schrödinger equation approach to compute electromagnetic corrections for specific scattering waves, improving upon previous methods.

Findings

Electromagnetic corrections vary across s-, p(1/2)-, and p(3/2)-waves.

Comparison with previous calculations shows qualitative agreement.

Uncertainty estimates highlight the precision of the correction calculations.

Abstract

We calculate for the s-, p(1/2)- and p(3/2)-waves the electromagnetic corrections which must be subtracted from the nuclear phase shifts obtained from the analysis of low energy pi+ p elastic scattering data, in order to obtain hadronic phase shifts. The calculation uses relativised Schroedinger equations containing the sum of an electromagnetic potential and an effective hadronic potential. We compare our results with those of previous calculations and qualitatively estimate the uncertainties in the corrections.