Towards an understanding of isospin violation in pion-nucleon scattering

Details Towards an understanding of isospin violation in pion-nucleon scattering Towards an understanding of isospin violation in pion-nucleon scattering

2000-08-17

arxiv.org/abs/hep-ph/0008181v1

Phys.Rev. C63 (2001) 045201

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pp, REVTeX, 8 figs, FZJ-IKP(TH)-2000-20

Scientific paper

10.1103/PhysRevC.63.045201

We investigate isospin breaking in low-energy pion-nucleon scattering in the framework of chiral perturbation theory. This work extends the systematic analysis of [1] to the energy range above threshold. Various relations, which identically vanish in the limit of isospin symmetry, are used to quantify isospin breaking effects. We study the energy dependence of the S- and P-wave projections of these ratios and find dramatic effects in the S-waves of those two relations which are given in terms of isoscalar quantities only. This effect drops rather quickly with growing center-of-mass energy.

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