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Isospin-breaking corrections to the pion-nucleon scattering lengths

We analyze isospin breaking through quark mass differences and virtual photons in the pion-nucleon scattering lengths in all physical channels in the framework of covariant baryon chiral perturbation theory. The so-called triangle relation is found to be violated by about 1.5 %. We encounter a substantial isospin-breaking correction to neutral-pion-nucleon scattering beyond Weinberg's prediction due to a cusp effect. Finally, the application to hadronic atoms is briefly discussed.

preprint2009arXivOpen access
Martin HoferichterBastian KubisUlf-G. Meißner
hep-phnucl-th
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Martin HoferichterBastian KubisUlf-G. Meißner

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