Investigation of Binding Energy and Potential in Mesons

Abstract

Truly by looking through the analytical model of constituent quarks and further the importance of the effects of relativity on quark dynamics in studying the interior structure of mesons, in this research we have strived to have a much more precise modeling for quark interior structure. Certainly by observing the constituent model of quarks, at first we consider the mesons as two-body system, then we place the considered calculated Potential, which is a function of location and spin, in Schrödinger’s equation. Next we will solve the mentioned equation in analytical method. Moving on this solution, we will import the spin and isospin interactions as perturbation in our problem, and finally by using these solutions we can obtain both binding energy and wave function for bound state and excited states of meson. Eventually, by applying these calculations in the next and last step we will compare our data about meson’s binding energy and masses with others results.