Chiral Effective-Field Theory in the Delta(1232) Region: Pion Electroproduction on the Nucleon

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dc.creatorPascalutsa, Vladimir
dc.creatorVanderhaeghen, Marc
dc.date2005-12-20
dc.date2006-01-19
dc.date.accessioned2026-07-07T10:44:32Z
dc.date.available2026-07-07T10:44:32Z
dc.descriptionWe develop an extension of chiral perturbation theory to the $Δ$(1232)-resonance energy region and apply it to investigate the pion electroproduction off the nucleon ($e^- N \to e^- Nπ$). We present a complete calculation of this process, in the $Δ$-resonance region, up to next-to-leading order in the {\it $δ$-expansion}. At this order, the only free parameters are the three low-energy constants corresponding to the magnetic (M1), electric (E2), and Coulomb (C2) $γN \to Δ$ transition strength. After fitting these parameters to a few well-known data, our calculation provides a prediction for observables and multipole amplitudes of pion electroproduction. These results compare favorably with the phenomenological multipole solutions and recent experimental results from MIT-Bates and MAMI. Our prediction for the pion-mass dependence of the $γNΔ$ form factors offers an explanation for the discrepancy between the recent lattice-QCD results and the experimental value for the "C2/M1 ratio" at low $Q^2$.
dc.description38 pages, 14 figures; version to be published in Phys. Rev. D
dc.identifierhttps://arxiv.org/abs/hep-ph/0512244
dc.identifierhttp://arxiv.org/abs/hep-ph/0512244
dc.identifierPhys.Rev.D73:034003,2006
dc.identifierdoi:10.1103/PhysRevD.73.034003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/182627
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectNuclear Theory
dc.titleChiral Effective-Field Theory in the Delta(1232) Region: Pion Electroproduction on the Nucleon
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