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Title
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Approximate mass spectra and root mean square radii of quarkonia using Cornell potential plus spin-spin interactions
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Type
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JournalPaper
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Keywords
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.Approximate mass spectra- root mean square radii- quarkonia -spin-spin interactions
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Abstract
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We proposed a global spin-dependent potential energy function which fits the description of the non-relativistic quark model. The spin dependencies of our model result from the harmonic approximation of the Gaussian function in the spin-spin component. The approximation enables us to obtain analytical solutions of the bound states for the heavy mesons singlet and triplet states using the conventional Nikiforov-Uvarov method. The obtained mass spectra and expectation values for the low through high-lying quantum states are in agreement with the results obtained for other potential functions in the existing literature. The splitting of the masses occurs at a distance greater than the obtained characteristic radius of the heavy mesons which were found to be within the experimentally observed . The proposed potential model may be extended to obtain other meson spectroscopic parameters such as the decay constants, wave function at the origin and electromagnetic radiative transitions.
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Researchers
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C Onate (Not In First Six Researchers), Cr Horechani (Not In First Six Researchers), E Eyube (Not In First Six Researchers), I Okon (Not In First Six Researchers), Arezu Jahanshir (Fifth Researcher), M Martinez-Flores (Fourth Researcher), I Njoku (Third Researcher), E Inyang (Second Researcher), E Omugbe (First Researcher)
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