  In this paper we have solved the nonrelativistic form of the
Lippmann-Schwinger equation in the momentum-helicity space by inserting a
spin-dependent quark-antiquark potential model numerically. To this end, we
have used the momentum-helicity basis states for describing a nonrelativistic
reduction of one gluon exchange potential. Then we have calculated the mass
spectrum of the charmonium $\psi(c\bar{c})$, and finally we have compared the
results with the another theoretical results and experimental data.
