We calculate the two-point correlation function using the interpolating current with J P C = 2 − . After performing the Borel sum rule analysis, the extracted masses of the 2 −− tensor charmonium and bottomonium are 3.97 ± 0.25 GeV and 10.13 ± 0.34 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 theqq,qs,ss,qc,sc,qb,sb andcb systems. Their masses are 1.78 ± 0.12, 1.85 ± 0.14, 2.00 ± 0.16, 2.86 ± 0.14, 3.01 ± 0.21, 5.66 ± 0.33, 6.40 ± 0.25, and 7.08 ± 0.34 GeV respectively.
Within the framework of the QCD sum rules, we consider the three-point correlation function, work at the limit q 2 ! 0 and m ! 0, and pick out the singular term $ 1 q 2 to extract the pionic coupling constants of the 1 Àþ hybrid meson. Then, we calculate the decay widths of different modes. The decay width of the S-wave modes b 1 , f 1 increases quickly as the hybrid meson mass and decay momentum increase. But for the low mass hybrid meson around 1.6 GeV, the P-wave decay mode is very important and its width is around 180 MeV, while the widths of and 0 are strongly suppressed. We suggest the experimental search of 1 ð1600Þ through the decay chains at the Beijing Spectrometer: J=c ðc 0 Þ ! 1 þ or J=c ðc 0 Þ ! 1 þ , where the 1 state can be reconstructed through the decay modes 1 ! ! þ À 0 or 1 ! f 1 ð1285Þ 0 . It is also interesting to look for 1 using the available BELLE/ BABAR data through the process e þ e
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