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We derive a theoretically allowed domain for the charge radius $\rho$ andcurvature $c$ of the Isgur-Wise function describing the decay $\Lambda_b \to\Lambda_c l {\bar \nu_l}$. Our method uses crossing symmetry, dispersionrelations and analyticity in the context of the Heavy Quark Effective Theorybut is independent of the specifics of any given model. The experimentallydetermined values of the $\Upsilon$ masses have been used as input information.The results are of interest for testing different models employed to calculatethe heavy baryon formfactors which are used for the extraction of $| V_{cb} |$from the experimental data.Comment: 18 pages, 1 figure included via psfi

DISPERSIVE BOUNDS ON THE SHAPE OF $\Lambda_b\to \Lambda_b l\bar{\nu}_l$ FORM FACTORS