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For comparison, we also perform the moment sum rule analysis for the charmonium and bottomonium systems. We extend the same analysis to study the $\\bar qq, \\bar qs, \\bar ss, \\bar qc, \\bar sc, \\bar qb, \\bar sb$ and $\\bar cb$ systems. 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After performing the Borel sum rule analysis, the extracted masses of the $2^{--}$ tensor charmonium and bottomonium are $3.97\\pm0.25$ GeV and $10.13\\pm0.34$ GeV respectively. For comparison, we also perform the moment sum rule analysis for the charmonium and bottomonium systems. We extend the same analysis to study the $\\bar qq, \\bar qs, \\bar ss, \\bar qc, \\bar sc, \\bar qb, \\bar sb$ and $\\bar cb$ systems. 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