RMS and charge radii in a potential model

Abstract

The Dalgarno's method of perturbation is used to solve the Schrodinger's equation with the Cornell potential $V(r)=-\frac{4{\alpha }_s}{3r}+br+c$. The short range and long range effect of the potential is incorporated in the same wave function by using two scales $r^S$ and $r^L$ as an integration limit. The results for bounds on r.m.s. radii of various heavy flavored mesons are reported. We have also showed the relation between r.m.s. and charge radius of mesons.

10 pages, 3 tables in Indian Journal of Physics (2016)

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• Parameterisation space for Cornell potential in a QCD potential model
• Absorption of 1$P$-wave heavy charmonium ${\chi }_{c1}(1P)$ in nuclei
• A Classical Interpretation of the Nonrelativistic Quark Potential Model: Color Charge Definition and the Meson Mass-Radius Relationship