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The QCD inspired potential model persued by us earlier has been recentlymodified to incorporate an additional factor 'c' in the linear cum Coulombpotential. While it felicitates the inclusion of standard confinement parameterb = 0.183GeV 2, unlike in previous work, it still falls short of explaining theIsgur-Wise function for the B mesons without adhoc adjustment of the strongcoupling constant. In this work, we determine the factor 'c' from theexperimental values of decay constants and masses and show that the realityconstraint on 'c' yeilds bounds on the strong coupling constant as well onslope and curvature of Isgur-Wise function allowing more flexibility to themodel.

Bounds on the slope and curvature of Isgur-Wise function in a QCD inspired quark model