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.

18 pages, 6 figures and 6 tables

References in corpus (16)

• Observation of Two Resonant Structures in e+e- to pi+ pi- psi(2S) via Initial State Radiation at Belle
• Measurement of e^+e^- to pi^+pi^-J/psi Cross Section via Initial State Radiation at Belle
• Can the X(3872) be a 1^{++} four-quark state?
• X(3872) and Other Possible Heavy Molecular States
• Is X(3872) {\sl Really} a Molecular State?
• Is X(3872) a molecule?
• New Hadron States
• Evidence that the Y(4660) is a f_0(980)psi' bound state
• Indications of a Four-Quark Structure for the X(3872) and X(3876) Particles from Recent Belle and BABAR Data
• Erratum: QCD sum rules study of the $J^{PC}=1^{--}$ charmonium $Y$ mesons
• QCD sum rules study of the meson Z^+(4430)
• Charmonium spectroscopy above thresholds
• The I^G J^{PC}=1^- 1^{-+} Tetraquark States
• Possible $J^{PC}=0^{--}$ Charmonium-like State
• The Possible J^{PC}=0^{--} Exotic State
• Heavy Quark Spectroscopy -- Theory Overview