Bound State of Heavy Quarks Using a General Polynomial Potential

Abstract

In the present work, the mass spectra of the bound states of heavy quarks cc-,bb-, and Bc 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.

Bound State Solution Schrödinger Equation for Extended Cornell Potential at Finite Temperature

“…The bound state solutions to the wave equations under the quark-antiquark interaction potential such as the ordinary, extended, and generalized Cornell potentials and combined potentials such as the Cornell with other potentials have attracted much research interest in atomic and highenergy physics within ordinary and supersymmetric quantum mechanics methods as in [28][29][30][31][32][33][34][35].…”

Approximate solutions of the Schrödinger equation with Hulthén-Hellmann Potentials for a Quarkonium system

“…The solutions to the SE can be established only if we know the confining potential for a particular physical system. Till now, there are only a few confining potentials, like the harmonic oscillator and the hydrogen atom, for which solutions to the SE are found exactly [8].…”

Spin Splitting Spectroscopy of Heavy Quark and Antiquarks Systems

“…By using equation (21) and Table 1, we get the mass spectra of different quantum states as shown in Tables 2-7. Previously, we used the phenomenological potential in equation ( 2) without spin-dependent corrections (central-dependent potential) [45]. The results obtained were good in comparison with the experimental data.…”