Abstract
In this work, we obtain the Klein–Gordon equation solutions for the Yukawa potential using the Nikiforov–Uvarov method. The energy eigenvalues are obtained both in relativistic and non-relativistic regime. The corresponding eigenfunction are obtained in terms of Laguerre polynomial. We applied the present results to calculate heavy-meson masses of charmonium \( c\bar{c} \) and bottomonium \( b\bar{b} \), and we got the numerical values for states 1S–1F. The results are in good agreement with experimental data and the work of other researchers.
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Inyang, E.P., Inyang, E.P., Ntibi, J.E. et al. Approximate solutions of D-dimensional Klein–Gordon equation with Yukawa potential via Nikiforov–Uvarov method. Indian J Phys 95, 2733–2739 (2021). https://doi.org/10.1007/s12648-020-01933-x
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DOI: https://doi.org/10.1007/s12648-020-01933-x