Bounds on the slope and curvature of Isgur-Wise function in a QCD inspired quark model

TL;DR

This paper refines a QCD-inspired quark model by determining a factor 'c' from experimental data, which constrains the strong coupling constant and bounds the slope and curvature of the Isgur-Wise function for B mesons.

Contribution

It introduces a method to determine the factor 'c' from experimental data, providing bounds on model parameters and improving the description of the Isgur-Wise function.

Findings

Bounds on the strong coupling constant are derived.

Constraints on the slope and curvature of the Isgur-Wise function are established.

The model gains flexibility in fitting experimental data.

Abstract

The QCD inspired potential model persued by us earlier has been recently modified to incorporate an additional factor 'c' in the linear cum Coulomb potential. While it felicitates the inclusion of standard confinement parameter b = 0.183GeV 2, unlike in previous work, it still falls short of explaining the Isgur-Wise function for the B mesons without adhoc adjustment of the strong coupling constant. In this work, we determine the factor 'c' from the experimental values of decay constants and masses and show that the reality constraint on 'c' yeilds bounds on the strong coupling constant as well on slope and curvature of Isgur-Wise function allowing more flexibility to the model.