Analytical solutions of the Schr\"odinger equation with Kratzer-screened Coulomb potential to the Quarkonium systems

• URL: http://arxiv.org/abs/2101.01174v1
• Date: Fri, 1 Jan 2021 23:55:23 GMT
• Title: Analytical solutions of the Schr\"odinger equation with Kratzer-screened Coulomb potential to the Quarkonium systems
• Authors: Etido P. Inyang, Ephraim P. Inyang, Joseph E. Ntibi and Eddy S. William
• Abstract summary: We obtain the Schr"odinger equation solutions for the Kratzer potential plus screened Coulomb potential model. The energy eigenvalues is obtained in non-relativistic regime and the corresponding unnormalized eigenfunction.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In this work, we obtain the Schr\"odinger equation solutions for the Kratzer potential plus screened Coulomb potential model using the series expansion method. The energy eigenvalues is obtained in non-relativistic regime and the corresponding unnormalized eigenfunction. Three special cases were obtained. We applied the present results to calculate heavy-meson masses of charmonium and bottomonium , and we got the numerical values for 1S, 2S, 1P,2P, 3S, 4S ,1D,2D and 1F states. The results are in good agreement with experimental data and the work of other researchers.

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