Nucleons with chiral loops

This article extends the analysis of the low-energy structure of Green functions in QCD to processes with one external nucleon. We calculate various nucleon matrix elements of quark currents and determine the elastic πN scattering amplitude T πN for off-shell pions to one loop. As an application of...

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Bibliographic Details
Published in:Nuclear physics. B 1988-10, Vol.307 (4), p.779-853
Main Authors: Gasser, J., Sainio, M.E., Švarc, A.
Format: Article
Language:English
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Summary:This article extends the analysis of the low-energy structure of Green functions in QCD to processes with one external nucleon. We calculate various nucleon matrix elements of quark currents and determine the elastic πN scattering amplitude T πN for off-shell pions to one loop. As an application of our representation of T πN we evaluate the difference Δ R between the amplitude D at the Cheng-Dashen point and the scalar form factor σ(2 M π 2 ). The obtained result is a factor of 50 too small to explain the difference between the value of σ extracted from elastic πN scattering and the value obtained from the baryon mass spectrum.
ISSN:0550-3213
1873-1562
DOI:10.1016/0550-3213(88)90108-3