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Towards an understanding of isospin violation in pion-nucleon scattering
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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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Charge dependent nucleon-nucleon potentials in covariant chiral effective field theory
The authors construct charge-dependent nucleon-nucleon potentials up to NNLO in covariant chiral effective field theory and fit their parameters to PWA93 phase shifts.
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