# Bound State of Heavy Quarks Using a General Polynomial Potential

Gamal, Ahmed  (Physics Department, Faculty of Science, Cairo University, Giza, Egypt) ; Mansour, Hesham  (Physics Department, Faculty of Science, Cairo University, Giza, Egypt)

18 December 2018

Abstract: In the present work, the mass spectra of the bound states of heavy quarks $\mathrm{c}\stackrel{-}{\mathrm{c}},\mathrm{b}\stackrel{-}{\mathrm{b}}$ , 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.

Published in: Advances in High Energy Physics 2018 (2018) 7269657