Heavy Quarkonium Mass Spectra in A Coulomb Field Plus Quadratic Potential Using Nikiforov-Uvarov Method

Abstract

In this work, the spin-averaged mass spectra of heavy quarkonia (cc and bb ) in a Coulomb plus quadratic potential is studied within the framework of nonrelativistic Schrodinger equation. The energy eigenvalues and eigenfunctions are obtained in compact forms for any -value using Nikiforov-Uvarov method. The obtained results are used to produce potential parameters (a, b , and o ) for the charmonium and bottomonium systems, from which then their full mass spectra are determined. The obtained values are compared with the available experimental results. The predictions from our model are found to be in good agreement with the experimental results. As a side result, the Hydrogen atom known spectrum is recovered

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

“…[25]. Al-Jamel and Widyan [26] studied heavy quarkonium mass spectra in a Coulomb field plus quadratic potential using NU method. Ibekwe et al [27] solved the radial SE with an exponential, generalized, harmonic Cornell potential using the series expansion method.…”

Quark confinement due to creation of micro AdS black holes in quarkonium model

“…( 9) can be absorbed into wave function while these extra terms in the left side of this equation play the role of harmonic terms in effective potential. This means that we will have a stronger confining potential with respect to the Cornell potential which are now containing two linear and quadratic order of r terms [23,24]. Investigating this confining potential and the results which are arising it, can be considered as our further research activity.…”

“…To check the possibility of the creation of micro black holes inside the quarqonium atom we should calculate the horizon radius of black hole that that is imposed by the cosmological constant, determined in above. For the D-dimensional AdS black holes the maximum event horizon is defined by [23,24]…”

Thermodynamic properties of the trigonometric Rosen-Morse potential and applications to a quantum gas of mesons

“…3 and 4 are illustrative about the smooth behavior with β of the thermodynamic functions under consideration, a feature shared grosso modo by different approaches to ideal gases ( c.f. [17,20,21] and [23,24,25,26,27]).…”