Large-Nc Relations Among Isgur-Wise Functions
David E. Brahm, James Walden
Abstract
We investigate the relations that must hold among baryonic Isgur-Wise functions ηi in the large-Nc limit from unitarity constraints, and compare to those found by Chow using the Skyrme model [or SU(4)]. Given the exponential dropoff of the ηi away from threshold, unitarity requires only that the usual normalization conditions hold at w=1, and that η=η1 near threshold. Our results are consistent with, but less powerful than, the Skyrme model relations.
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