Baryon Resonance Production by Neutrinos and the Relativistic Generalizations ofSU(6)

Abstract

An extension of our phenomenological study of baryon resonance production by neutrinos is carried out to include the relativistic generalizations of $\mathrm{SU}\left(6\right)\mathrm{}$. The semileptonic weak-interaction Lagrangian invariant under the group $SL(6, c)$ is constructed for the 364-to-364 supermultiplet transitions. Two special cases are considered for this interaction Lagrangian: One invokes invariance under the larger group $M\left(12\right)\mathrm{}$, while the other includes a simple $M\left(12\right)\mathrm{}$ symmetry-breaking term. Detailed comparisons with the present experimental information on weak $N^{*}$ production and with the $\mathrm{SU}\left(6\right)\mathrm{}$ theory are made for each of these relativistic symmetry schemes.