We calculate the Isgur–Wise function of heavy light mesons and its derivatives — its slope and its curvature, in an improved version of our earlier QCD Inspired Quark Model with two-loop static potential.
We summarize the results of the Isgur–Wise function investigated within a QCD inspired quark model. We estimate the slope and the convexity parameter of the function.
We study the masses and decay constants of heavy-light flavour mesons D, D s , B and B s in a QCD Potential model . The mesonic wavefunction is used to compute the masses of D and B mesons in the ground state and the wavefunction is transformed to momentum space to estimate the pseudoscalar decay constants of these mesons. The leptonic decay widths and branching ratio of these mesons for different leptonic channels are also computed to compare with the experimental values. The results are found to be compatible with available data.
We incorporate the effect of two-loop static potential in the result of Isgur–Wise function reported by us recently, investigated with a QCD inspired quark model.
We report some improved wave function for mesons taking linear confinement term in standard QCD potential as parent and Coulombic term as perturbation while applying quantum mechanical perturbation technique in solving Schrödinger equation with such a potential. We find that Airy's infinite series appears in the wave-function of the mesons. We report our calculations on the Isgur-Wise function and its derivatives for heavy-light mesons, within this framework.
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