Field theory of nucleon to higher-spin baryon transitions

Physics – Nuclear Physics – Nuclear Theory

Scientific paper

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5 pages, Revtex, 1 PostScript figure; published version

Scientific paper

10.1103/PhysRevC.60.042201

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.

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