Bound state of heavy quarks using a general polynomial potential (Q1719961)

Summary: In the present work, the mass spectra of the bound states of heavy quarks \(\mathrm{c} \overline{\mathrm{c}}, \mathrm{b} \overline{\mathrm{b}}\), and \(B_c\) meson are studied within the framework of the nonrelativistic Schrödinger's equation. First, we solve Schrödinger's equation with a general polynomial potential by Nikiforov-Uvarov (NU) method. The energy eigenvalues for any L-value is presented for a special case of the potential. The results obtained are in good agreement with the experimental data and are better than previous theoretical studies.