General three-spinor wave functions and the relativistic quark model

The complete set of three-particle relativistic spinors is constructed in a set of evidently covariant forms classified into irreducible representations of the permutation group, S3, for use in the three-quark model of baryons. A few of the various types of three quark spinor functions are illustrated by evaluating their electromagnetic current interactions by using the four-dimensional oscillator models of Feynman, Kislinger, and Ravndal and Lipes for the spatial part of the wave function; one of our types gives markedly better results for nucleon electromagnetic form factors than the type corresponding to the original models of these authors, but problems, largely associated with the four dimensional oscillator, remain in the electromagnetic transitions to higher baryon resonances