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Title
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Heavy mesons mass spectroscopy under a spindependent Cornell potential within the framework of the spinless Salpeter equation
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Type
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JournalPaper
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Keywords
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meson spectroscopy, spin–orbit coupling, Cornell potential, Salpeter equation
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Abstract
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The energy bound-state solutions of the spinless Salpeter equation (SSE) have been obtained under a spin-depen- dent Cornell potential function via the Wentzel–Kramers– Brillouin approximation. The energy levels were applied to pre- dict the mass spectra for the charmonium, bottomonium, and bottom-charmed mesons. The relativistic corrections for the angular momentum quantum number >l 0, total angular momentum quantum numbers = = ±j l j l, 1, and the radial quantum numbers n = 1–4 improve the mass spectra. The results agree fairly with experimental data and theoretic results reported in existing works, where the authors utilized different forms of the inter-quark potentials and methods. The deviation of the obtained masses for the charmonium and bottomonium from the observed data yields a total percentage error of 3.32 and 1.11%, respectively. The results indicate that the accuracy of the masses is correlated with the magnitude of masses for the charm and bottom quarks. The SSE together with the phe- nomenological spin-dependent Cornell potential provides an adequate account of the mass spectroscopy for the heavy mesons and may be used to predict other spectroscopic parameters.
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Researchers
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Michael Onyeaju (Not In First Six Researchers), R Obodo (Not In First Six Researchers), E Eyube (Fifth Researcher), C Onate (Fourth Researcher), Joseph Aniezi (Third Researcher), E Omugbe (Second Researcher), Arezu Jahanshir (First Researcher)
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