The Vector and Axial-Vector Charmonium-like States

Abstract

After constructing all the tetraquark interpolating currents with $J^{PC}=1^{-+},1^{--},1^{++}$ and $1^{+-}$ in a systematic way, we investigate the two-point correlation functions to extract the masses of the charmonium-like states with QCD sum rule. For the $1^{--}$ $qc\bar{q}\bar{c}$ charmonium-like state, $m_X=4.6\sim 4.7$ GeV, which implies a possible tetraquark interpretation for the state Y(4660). The masses for both the $1^{++}$ $qc\bar{q}\bar{c}$ and $sc\bar{s}\bar{c}$ charmonium-like states are around $4.0\sim 4.2$ GeV, which are slightly above the mass of X(3872). For the $1^{-+}$ $qc\bar{q}\bar{c}$ charmonium-like state, the extracted mass is $4.5\sim 4.7$ GeV. We also discuss the possible decay modes and experimental search of the $1^{-+}$ charmonium-like states.

Comments: 18 pages, 6 figures and 6 tables