Isgur-Wise function in a QCD potential model with coulombic potential as perturbation

Abstract

We study heavy light mesons in a QCD inspired quark model with the Cornell potential$-\frac{4{\alpha }_S}{3r}+br+c$. Here we consider the linear term $br$ as the parent and $-\frac{4{\alpha }_S}{3r}+c$ i.e.the Coloumbic part as the perturbation.The linear parent leads to Airy function as the unperturbed wavefunction. We then use the Dalgarno method of perturbation theory to obtain the total wavefunction corrected upto first order with Coulombic peice as the perturbation.With these wavefunctions, we study the Isgur-Wise function and calculate its slope and curvature.

arXiv commentpaper has been modified in Airy functions calculation upto o(r^3)

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Cited by in corpus (7)

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• Isgur-Wise function and a new approach to Potential Model
• An analysis of the Isgur-Wise Function and its derivatives within a Heavy-Light QCD Quark Model
• Isgur-Wise Function for Heavy Light Mesons in D dimensional Potential Model
• A Higher Dimensional Potential Model Approach in the Study of Isgur-Wise Function for Heavy-Light Mesons
• Semileptonic decay of $B_c$ meson into $c\bar{c}$ states in a QCD potential model