Off-Shell Jost Solution for the Hulthén Potential

2018 ◽  
Vol 59 (4) ◽  
Author(s):  
U. Laha
Keyword(s):  
Hulthén Potential ◽  
Hulthen Potential ◽  
Jost Solution

Heavy quarkonium systems for the deformed unequal scalar and vector Coulomb–Hulthén potential within the deformed effective mass Klein–Gordon equation using the improved approximation of the centrifugal term and Bopp’s shift method in RNCQM symmetries

2021 ◽  
Author(s):  
Abdelmadjid Maireche
Keyword(s):  
Effective Mass ◽  
Gordon Equation ◽  
Energy State ◽  
Real Space ◽  
Heavy Quarkonium ◽  
Hulthén Potential ◽  
Shift Method ◽  
Hulthen Potential ◽  
Klein Gordon ◽  
Klein Gordon Equation

In this study, the analytical solutions of the Klein–Gordon equation for any [Formula: see text] states of the modified effective mass potential under the modified unequal scalar and vector Coulomb–Hulthén potential (MUSVCH-P) are derived by using an approximation method to the centrifugal potential term in the symmetries of relativistic noncommutative three-dimensional real space (RNC: 3D-RS). The new analytical expressions for eigenvalues of the energy spectrum and the new mass of mesons, such as charmonium and bottomonium that have the quark and antiquark flavor, have been estimated by using Bopp’s shift method, and perturbation theory. The energy state equation depends on the global parameters characterizing the noncommutativity space and the potential parameter [Formula: see text] in addition to the Gamma function and the discreet atomic quantum numbers [Formula: see text]. The expression for the new energy spectra is applied to obtain the new mass spectra of heavy quarkonium systems (charmonium and bottomonium) in the symmetries of (RNC: 3D-RS). The comparisons show that our theoretical results are in very good agreement with the reported works.

The T Matrix for the Hulthén Potential

1971 ◽  
Vol 12 (10) ◽  
pp. 2076-2080 ◽  
Author(s):  
O. P. Bahethi ◽  
M. G. Fuda
Keyword(s):  
Hulthén Potential ◽  
Hulthen Potential ◽  
T Matrix

scholarly journals Scattering and bound states for the Hulthén potential in a cosmic string background

2017 ◽  
Vol 77 (5) ◽  
Author(s):  
Mansoureh Hosseinpour ◽  
Fabiano M. Andrade ◽  
Edilberto O. Silva ◽  
Hassan Hassanabadi
Keyword(s):  
Cosmic String ◽  
Bound States ◽  
Hulthén Potential ◽  
Hulthen Potential ◽  
String Background
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