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Mass spectra of quarkonium systems can be described by different phenomenological potentials. In the present work, the {\color{black}resonance} states of heavy quarkonium like ( and ) are considered as the rovibrational states. We study a parameterized rovibrational model derived from the empirical solution of the nonrelativistic Schrödinger equation with Morse potential, the corrections are composed of colour hyperfine interaction and spin-orbit interaction of mesons. We {\color{black}obtain} the high excited state mass spectra of charmonium and bottomonium comparing the results in reasonable agreement with the present experimental data.

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