Isgur-Wise function within a QCD quark model with Airy's function as the wave function of heavy-light mesons

Abstract

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 Schrodinger 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.

16 pages, 3 figure, 8 tables

References in corpus (12)

• Isoscalar meson spectroscopy from lattice QCD
• The Baryon Isgur-Wise Function in the Large $N_c$ Limit
• Covariant quark model of form factors in the heavy mass limit
• Quark Model Form Factors for Heavy Quark Effective Theory
• Measurement of the $B\to D\ell \nu$ Branching Fractions and Form Factor
• Measurement of Br(Bbar -> D+l-nubar) and Determination of |Vcb|
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• Semi-leptonic decays of heavy mesons and the Isgur-Wise function in quenched lattice QCD
• Isgur-Wise function in a QCD potential model with coulombic potential as perturbation
• An analysis of the Isgur-Wise Function and its derivatives within a Heavy-Light QCD Quark Model
• A Higher Dimensional Potential Model Approach in the Study of Isgur-Wise Function for Heavy-Light Mesons
• An Analysis of Isgur-Wise Function of Heavy-Light Mesons within a Higher Dimensional Potential Model Approach

Cited by in corpus (6)

• The Semileptonic $\overline{B}⟶Dl\overline{\nu }$ and $\overline{B_s}⟶D_{s}l\overline{\nu }$ Decays in Isgur-Wise Approach
• RMS and charge radii in a potential model
• An Improved Analysis of Masses and Decay Constants of Heavy Flavour Mesons within Variational Approach
• A Higher Dimensional Potential Model Approach in the Study of Isgur-Wise Function for Heavy-Light Mesons
• Application of the Thomas Fermi Quark Model to Multiquark Mesons
• An Analysis of Isgur-Wise Function of Heavy-Light Mesons within a Higher Dimensional Potential Model Approach