Analytical study on the Applicability of Ultra Generalized Exponential Hyperbolic Potential to Predict the Mass Spectra of the Heavy Mesons

2021/01/16 by Inyang, E. P., Ntibi, J. E., Ibekwe, E. E. +1
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Mathematical Physics (math-ph) #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.2101.06389

Abstract

We solved the Klein-Gordon equation analytically using the Nikiforov-Uvarov method to obtain the energy eigenvalues and corresponding wavefunction in terms of Laguerre polynomials with the ultra generalized exponential hyperbolic potential. The present results are applied for calculating the mass spectra of heavy mesons such as charmonium (cc) and bottomonium (cc) for different quantum states. The present potential provides excellent results in comparison with experimental data with a maximum error of and work of other researchers.

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