Zi-Xing Cai | Searcharxiv

arXiv2014

Masses of the tensor mesons with $J^{P}=2^{-}$

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 $3.97\pm0.25$ 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. Their masses are $1.78\pm 0.12, 1.85\pm 0.14, 2.00\pm 0.16, 2.86\pm 0.14, 3.01\pm 0.21, 5.66\pm0.33, 6.40\pm 0.25$, and $7.08\pm 0.34$ GeV respectively.

hep-ph↗

arXiv2011

The Decay Properties of the 1^{-+} Hybrid State

Within the framework of the QCD sum rules, we consider the three-point correlation function, work at the limit q^2 -> 0 and m_π-> 0, and pick out the singular term ~ {1\over q^2} to extract the pionic coupling constants of the 1^{-+} hybrid meson. Then we calculate the decay widths of different modes. The decay width of the S-wave modes b_1 π, f_1πincreases 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 ρπis very important and its width is around 180 MeV, while the widths of ηπand η^\prime πare strongly suppressed. We suggest the experimental search of π_1(1600) through the decay chains at BESIII: e^+e^- -> J/ψ(ψ') -> π_1 +γor e^+e^- -> J/ψ(ψ') -> π_1 +ρwhere the π_1 state can be reconstructed through the decay modes π_1 -> ρπ-> π^+π^-π^0 or π_1 -> f_1(1285)π^0. It is also interesting to look for π_1 using the available BELLE/BABAR data through the process e^+e^- -> γ^\ast -> ρπ_1, b_1π_1, γπ_1 etc.

hep-ph↗