Affiliation:
1. Physics Department, Faculty of Science, Al Al-Bayt University, Mafraq 25113, Jordan
Abstract
We study the energy spectra of Schrödinger Hamiltonian in N-dimensional space with Coulomb plus inverse quadratic term [Formula: see text] and energy-dependent confining potential of the form [Formula: see text]. It is found that the energy spectra exhibit saturation effect, where these spectra are suppressed to finite values at large quantum numbers n and/or [Formula: see text] at any dimensional space N. As a typical application, we obtained a compact mass formula for the spectra of heavy quarkonia ([Formula: see text], [Formula: see text]). It is found that the model is capable of reproducing the mass spectra of these systems with observed saturation governed by a factor [Formula: see text]. The comparison of this work predictions with available experimental data as well as other relevant theoretical works is also presented. The eigenfunctions are expressed in terms of the bi-confluent Heun functions.
Publisher
World Scientific Pub Co Pte Lt
Subject
General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics
Cited by
15 articles.
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