Field theory of nucleon to higher-spin baryon transitions

Abstract

We discuss the nucleon to higher-spin $N$- and $\Delta$-resonance transitions by pions and photons. The higher-spin baryons are described by Rarita-Schwinger fields and, as we argue, this imposes a stringent consistency requirement on the form of the couplings. Popular $\pi N\Delta$ and $\gamma N\Delta$ couplings are inconsistent from this point of view. We construct examples of consistent interactions with the same nonrelativistic limit as the conventional ones.

arXiv comment5 pages, Revtex, 1 PostScript figure; published version

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Cited by in corpus (117)

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• Contribution of spin 1/2 and 3/2 resonances to two-photon exchange effects in elastic electron-proton scattering
• Infrared regularization with spin-3/2 fields
• Recent developments in SU(3) covariant baryon chiral perturbation theory
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