Large-N_c Relations Among Isgur-Wise Functions

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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

Scientific paper

10.1142/S0217732397000364

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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