Wave function dependent Form Factors and Radii of Mesons

Abstract

In this work, meson wave functions are selected to investigate the properties of charmonium, bottomonium, and charmed-bottom mesons. To find the masses of the ground, radial and orbital excited states of mesons, variational method is applied on the selected meson wave functions. In addition, mesons are treated non-relativistically by considering the chromodynamic potential model in the linear plus coulombic form along with the incorporation of spin. Our mass predictions show good agreement with the available experimental data and the theoretical predictions found by different methods. Moreover, RMS radii, form factors and charged radii are calculated by using the selected trial wave functions. Momentum dependance of the form factors is shown graphically. Predicted RMS radii and charged radii are compared with the theoretical results, wherever available. Results show that RMS radii and charged radii have inverse relation with the masses of mesons, i.e., heavier mesons have smaller radii and vice versa.