1. Approximate bound state solutions of the fractional Schrödinger equation under the spin-spin-dependent Cornell potential.
- Author
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Abu-Shady, M., Omugbe, E., and Inyang, E. P.
- Subjects
- *
SCHRODINGER equation , *MESONS , *GLUONS , *QUANTUM numbers , *CHARMONIUM , *CHARM particles - Abstract
In this work, the approximate bound state solutions of the fractional Schr¨odinger equation under a spin-spin-dependent Cornell potential are obtained via the convectional Nikiforov-Uvarov approach. The energy spectra are applied to obtain the mass spectra of the heavy mesons such as bottomonium, charmonium and bottom-charm. The masses for the singlet and triplet spin numbers increase as the quantum numbers increase. The fractional Schr¨odinger equation improves the mass spectra compared to other theoretic masses. The bottomonium masses agree with the experimental results where percentage errors for fractional parameters of β = 1, α = 0.97 and β = 1, α = 0.50 were found to be 0.67% and 0.49% respectively. The respective percentage errors of 1.97% and 1.62% for fractional parameters of β = 1, α = 0.97 and β = 1, α = 0.50 were obtained for charmonium meson. The results indicate that the potential curves coupled with the fractional parameters account for the short-range gluon exchange between the quark-antiquark interactions and the linear confinement phenomena which is associated with the quantum chromo-dynamic and phenomenological potential models in particle and high-energy physics. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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