Sukhoi State Technical University of Gomel,

The authors presents a calculating the masses of heavy $c\bar{c}$-quarkonia method in a model based on the composite quark model and the point form of Poincaré-invariant quantum mechanics. We consider a variational problem for the eigenvalues of the Hamiltonian in the $3\times3$ case with a trial oscillatory wave function. It has been shown that the analytical calculation system usage and the obtained model parameters yields the masses of pseudoscalar and vector heavy $c\bar{c}$-resonances data that are consistent with experimental results.