Application of Hulthén-Hellmann Potential (HHP) to Predict the Mass-Spectra of Heavy Mesons
Keywords:
Hulthén potential, Hellmann potential, Schrödinger equation, Heavy mesons, Series expansion methodAbstract
Communication in Physical Sciences, 2021, 7(4): 471-481
O. Umukoro and J. A. Obu
Received: 22 September 2021/Accepted 21 December 2021
In this study, we adopt Hulthén plus Hellmann potentials as the quark-antiquark interaction potential for predicting the mass spectra of heavy mesons. The radial Schrödinger equation was solved using the series expansion method and the energy equation was obtained. The energy equation is applied for predicting the mass spectra of heavy mesons such as charmonium and bottomonium. Four special cases were considered when some of the potential parameters were set to zero, resulting in Hellmann potential, Yukawa potential, Coulomb potential, and Hulthén potential, respectively. The present potential provides satisfying results in comparison with experimental data and work of other researchers
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