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arxiv: hep-ph/9511309 · v2 · submitted 1995-11-13 · ✦ hep-ph · nucl-th

Large-N_c Relations Among Isgur-Wise Functions

classification ✦ hep-ph nucl-th
keywords relationsfunctionsholdisgur-wiselarge-nmodelskyrmethreshold
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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.

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