Solutions of the Schrödinger equation with Quarkonium potential to predict the mass-spectra of the heavy mesons via series expansion method

In this study, a quarkonium potential is adopted as the quark-antiquark interaction potential for predicting the mass spectra of heavy mesons. We solved the radial Schr\"odinger equation analytically using the series expansion method and obtained the energy eigenvalues. The present results are...

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Bibliographic Details
Published inarXiv.org
Main Authors Inyang, E P, Akpan, I O, William, E S
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 11.10.2023
Subjects
Eigenvalues
Mass spectra
Mass spectroscopy
Mesons
Schrodinger equation
Series expansion
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Summary:In this study, a quarkonium potential is adopted as the quark-antiquark interaction potential for predicting the mass spectra of heavy mesons. We solved the radial Schr\"odinger equation analytically using the series expansion method and obtained the energy eigenvalues. The present results are applied for predicting the mass spectra of heavy mesons such as charmonium and bottomonium. The present potential provides satisfying results in comparison with experimental data and the work of other researchers with a maximum error of 0.058 GeV
ISSN:2331-8422