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

TL;DR

This paper numerically solves the Lippman-Schwinger equation for heavy meson systems to determine potential coefficients and the strong coupling constant, aligning with known models like Martin and Cornell potentials.

Contribution

It introduces a numerical approach to derive potential coefficients and coupling constants for heavy mesons by solving the Lippman-Schwinger equation.

Findings

Potential coefficients agree with Martin potential values.

Strong coupling constants for mesons tt, tc, and tb are determined.

Method provides a non-relativistic potential model for quark-antiquark systems.

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.