Abstract
Conformable fractional of the analytical-exact iteration method method is used. The radial Schrodinger equation is analytically solved. Trigonometric Rosen–Morse potential is suggested as a quark-antiquark interaction potential of heavy mesons in the conformable fractional form. The energy eigenvalues and corresponding wave functions are obtained in the N-dimensional space. The effect of fraction-order parameter is studied on the heavy-quarkonium masses such as charmonium and bottomonium. The obtained results are improved in comparison with other theoretical approaches and are in a good agreement with experimental data. Therefore, we show how the fractional parameter acts on the charmonium and bottomonium masses.
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