A Higher Dimensional Potential Model Approach in the Study of Isgur-Wise Function for Heavy-Light Mesons

Abstract

Nambu-Goto action of bosonic string predicts the quark-antiquark potential to be $V(r)=\frac{\gamma }{r}+\sigma r+{\mu }_0$. The coefficient$\gamma =-\frac{\pi (d-2)}{24}$ is the universal Lüscher coefficient of the Lüscher term $\frac{\gamma }{r}$, which depends upon the space-time dimension `d'. We take linear term in potential as parent and Lüscher term as perturbation for the generation of wave function for meson in d space-time dimension.The wave function comes out in terms of Airy's infinite polynomial series. With this wave function in higher dimension, we then study the Isgur-Wise function for heavy-light mesons and its derivatives.

Accepted in Physica Scripta

References in corpus (4)

• Lattice QCD computation of the SU(3) String Tension critical curve
• Isgur-Wise function within a QCD quark model with Airy's function as the wave function of heavy-light mesons
• An analysis of the Isgur-Wise Function and its derivatives within a Heavy-Light QCD Quark Model
• Heavy-heavy-light quark potential in SU(3) lattice QCD

Cited by in corpus (4)

• Isgur-Wise function within a QCD quark model with Airy's function as the wave function of heavy-light mesons
• Effective String Theory Inspired Potential and Meson Masses in Higher Dimension
• A model of mesons in finite extra-dimension
• An Analysis of Isgur-Wise Function of Heavy-Light Mesons within a Higher Dimensional Potential Model Approach