Large-N_c Relations Among Isgur-Wise Functions

Abstract

We investigate the relations that must hold among baryonic Isgur-Wise functions ${\eta }_i$ in the large-N_c limit from unitarity constraints, and compare to those found by Chow using the Skyrme model [or SU(4)]. Given the exponential dropoff of the ${\eta }_i$ away from threshold, unitarity requires only that the usual normalization conditions hold at w=1, and that $\eta ={\eta }_1$ near threshold. Our results are consistent with, but less powerful than, the Skyrme model relations.

6 pages, LaTeX, 3 figures using epsf.tex. More detailed analysis, but the result is unchanged