Quark-antiquark bound state in momentum-helicity representation

In this paper we have extended a three-dimensional approach for describing quark-antiquark bound states based on a momentum-helicity representation. To this end we have formulated the relativistic form of the Lippmann-Schwinger equation in the momentum-helicity space which leads to integral equations with one variable. Then we have solved these integral equations by inserting a spin-dependent quark-antiquark potential model numerically. Finally we have obtained the mass spectrum of light mesons and we have compared these results with the results which are obtained in the partial wave representation.