Representation Functions for the Degenerate Baryon Series in U(6)⊗U(6)

Abstract

The most degenerate class of representation functions $d_{\mathrm{W,W\prime }}^{\mathrm{NB}}\mathrm{(\theta )}$ pertaining to $\text{U(6)⊗U(6)}$ have been calculated for arbitrary quark number N with the baryon number B, and W, W′ weights of the U(6)_W subgroup assuming the following values: B = 0, ⅓, ⅔, 1; [W], [W′] = 1, 6, 21, 56. These functions are the matrix elements of the rotation operator exp (−iΘJ₂) between basis vectors of the degenerate $\text{U(6)⊗U(6)}$ Feynman series (characterized entirely by BNW labels), and are essential to the generalized Reggeization program.