The tensor charmonium and bottomonium states with $J^{PC}=2^{--}$

Details The tensor charmonium and bottomonium states with $J^{PC}=2^{--}$ The tensor charmonium and bottomonium states with $J^{PC}=2^{--}$

2011-07-25

arxiv.org/abs/1107.4949v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, 18 figures and 1 table

Scientific paper

We calculate the two-point correlation function using the interpolating current with $J^{PC}=2^{--}$. After performing the Borel sum rule analysis, the extracted masses of the $2^{--}$ tensor charmonium and bottomonium are $3.89\pm0.08$ GeV and $10.06\pm0.09$ GeV respectively. For comparison, we also perform the moment sum rule analysis for the charmonium and bottomonium systems. As a byproduct, 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. Their masses are $1.71\pm 0.10, 1.78\pm 0.10, 1.94\pm 0.10, 2.81\pm 0.09, 3.12\pm 0.10, 5.72\pm0.11, 6.37\pm 0.10$, and $7.01\pm 0.09$ GeV respectively.

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