Isospin Violation in Pion-Nucleon Scattering at Threshold

dc.creatorEricson, T. E. O.
dc.date2005-04-27
dc.date.accessioned2026-07-07T03:54:41Z
dc.date.available2026-07-07T03:54:41Z
dc.descriptionWe discuss the electromagnetic corrections to the pion-nucleon scattering lengths generated by minimal e. m. coupling from a knowledge of the low energy expansion of the pion-nucleon elastic scattering amplitude as well as from the nucleon and delta pole terms, all a consequence of purely strong interactions. We assume the heavy baryon limit; the e.m. and axial form factors and the masses are used with their empirical values, such that there is no free parameter. The different terms have a clear physical and intuitive origin. In particular, a large isospin breaking contribution to the isoscalar term appears for the elastic charged-pion scattering lengths. We attempt a comparison to the results from chiral effective field theory (EFT) with a physical interpretation of the empirical constants in that approach. The results are applied to the energy shift and width of pionic hydrogen.
dc.description10 pages, 1 eps figure. Invited talk to appear in Proceedings of EXA05, Vienna, Feb. 21-25 2005, Verlag der oesterreichischen Akademie des Wissenschaften
dc.identifierhttps://arxiv.org/abs/hep-ph/0504258
dc.identifierhttp://arxiv.org/abs/hep-ph/0504258
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/44339
dc.subjectHigh Energy Physics - Phenomenology
dc.titleIsospin Violation in Pion-Nucleon Scattering at Threshold
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