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

2023/10/11 by Inyang, E. P., Akpan, I. O., William, E. S.
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Nuclear Theory (nucl-th)

paper · doi:10.48550/arxiv.2310.07645

Abstract

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 Schrödinger 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

Related

• Applicability of Hulthen-Hellmann potential to predict the mass-spectra of heavy mesons via series expansion method
• Approximate solutions of the Schrodinger equation with Hulthen-Hellmann Potentials for a Quarkonium system
• Analytical solutions of the Schrödinger equation with Kratzer-screened Coulomb potential to the Quarkonium systems
• Analytical Investigation of Meson Spectrum via Exact Quantization Rule Approach
• Computation of masses of quarkonium bound states using heavy quark potentials from lattice QCD