Three-Loop Effect in r.m.s and Charge Radii of Heavy Flavored Mesons in a QCD Potential Model

We make an analysis of r.m.s. and charge radii of heavy flavored mesons introducing the three-loop correction to the static potential \(V(r)=-\frac{4\alpha _s}{3r}+br\) $V(r)=-\frac{4{\alpha }_s}{3r}+br$ . Considering linear as parent and Coulomb as perturbation, the first order wave function is used to study the corresponding correction in coordinate space. The wave function is then used to study the r.m.s. and charge radii of heavy flavored mesons. The computed results are then compared with the data available in literature. The results show significant improvements compared to our earlier works.