Form factors and charge radii in a QCD inspired potential model using the Variationally Improved Perturbation Theory (VIPT)

TL;DR

This paper employs VIPT to compute form factors and charge radii of various mesons within a QCD-inspired potential model, comparing Coulombic and linear potentials to determine the most effective approach.

Contribution

It introduces a novel application of VIPT to meson properties using combined potential models and compares different parent potentials for improved accuracy.

Findings

Charge radii and form factors are smaller with Coulombic parent.

Linear potential as parent yields better results.

Provides bounds on Q2 for experimental relevance.

Abstract

We use VIPT in calculating the elastic form factors and charge radii of D, Ds, B, Bs and Bc mesons in a QCD inspired potential model. For that we use linear cum Coulombic potential and opt firstly the Coulombic part as parent and then linear part as parent.The results show that charge radii and form factors are quite small for Coulombic parent case than the linear parent. Also, the analysis leads to a lower as well as upper bound on the four momentum transfer Q2 hinting at a workable range of Q2 within this approach which may be useful in future for experimental analysis. Comparision of both the options prefer the linear parent.