Quark-Antiquark Bound State in Three-Dimensional Approach

Abstract

In this paper we develop a three-dimensional approach for describing meson bound states based on the momentum-helicity basis. To this end, we formulate the relativistic form of Lippmann-Schwinger equation in the momentum-helicity basis which leads to two sets of integral equations. Then we have solved these integral equations by inserting a spin dependent quark-antiquark potential model numerically as eigenvalue equations. Finally, we obtain the mass spectrum of the light mesons and compare these results with the results which are obtained in the partial wave representation and experimental data.