Electromagnetic corrections for the analysis of low energy π^- p scattering data

1999/03/22 by A. Gashi, Gashi, A., E. Matsinos +9
Chemistry · Physics and Astronomy · #Advanced NMR Techniques and Applications #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/9903434

This work is superseded by later papers, see Nucl. Phys. A 686 (2001) 463

openalex publication_date 1999/03/22 · arxiv created 2007/10/18 · arxiv updated 2009/11/30 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

We calculate the electromagnetic corrections to the isospin invariant mixing angle and to the two eigenphases for the s-, p_1/2- and p_3/2-partial waves for π^- p elastic and charge exchange scattering. These corrections have to be applied to the nuclear quantities in order to obtain the two hadronic phase shifts for each partial wave. The calculation uses relativised Schrödinger equations containing the sum of an electromagnetic potential and an effective hadronic potential. The mass differences between π^- and π⁰ as well as between p and n are taken into account. We compare our results with those of previous calculations and qualitatively estimate the uncertainties in the corrections.

Related

• Electromagnetic corrections to the hadronic phase shifts in low energy pi+ p elastic scattering
• Phase shift analysis of low energy pi+/- p scattering data and a comparison with pionic hydrogen data
• Phase-shift analysis of low-energy pi+ p data
• Low-energy parameterisations of the pion-nucleon phase shifts
• The low-energy constants of the pion-nucleon system