Calculation of heavy meson potential coefficients by solving Lippman-Schwinger equation

Abstract

In the present work, we study meson systems consisting of quark-antiquark. We solve lippman-Schwinger equation numerically for heavy meson systems. We attempt to find a non-relativistic potential model through which we can solve the quark-antiquark bound state problem. The coefficients so obtained are in agreement with Martin potential coefficients. Via this method we also determine the strong coupling constant for the mesons tt, tc, and tb, which is a coefficient of Cornell potential.