Large-N_c Relations Among Isgur-Wise Functions

Mod.Phys.Lett. A12 (1997) 357-362 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.