Isgur-Wise Function for Heavy Light Mesons in D dimensional Potential Model

TL;DR

This paper develops a potential model for heavy-light mesons in D dimensions using Nambu-Goto string potentials, analyzing the Isgur-Wise function and its derivatives, and comparing results with 3+1 dimensional QCD.

Contribution

It introduces a D-dimensional potential model for mesons based on Nambu-Goto strings, extending the analysis of the Isgur-Wise function beyond 3+1 dimensions.

Findings

Dimensional dependence of the Isgur-Wise function and its derivatives is characterized.

Results are compared with established 3+1 dimensional QCD data.

The model provides insights into meson behavior in higher-dimensional spaces.

Abstract

We report results of a potential model for mesons in D space-time dimension developed by considering the quark-antiquark potential of Nambu-Goto strings. With this wave function, we have studied Isgur-Wise function for heavy-light mesons and its derivatives like slope and curvature. The dimensional dependence of our results and a comparative study with the results of 3+1 dimensional QCD are also reported.