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

Abstract

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.

one reference corrected

References in corpus (16)

• Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts
• Toward the excited meson spectrum of dynamical QCD
• Mass spectra and Regge trajectories of light mesons in the relativistic quark model
• Highly excited and exotic meson spectrum from dynamical lattice QCD
• New Hadron States
• The Status of Exotic-quantum-number Mesons
• Confirmation of a pi_1^0 Exotic Meson in the ηπ^0 System
• The I^G J^{PC}=1^- 1^{-+} Tetraquark States
• 1^{-+} light exotic mesons in QCD
• Hybrid meson properties in Lattice QCD and Flux Tube Models
• The I^G J^{PC}=0^+ 1^{-+} Tetraquark State
• Mixed Heavy Quark Hybrid Mesons, Decay Puzzles, and RHIC
• Hybrid States from Constituent Glue Model
• A lattice QCD calculation of the transverse decay constant of the b1(1235) meson
• Indications of the possible observation of the lowest-lying 1^{-+} QCD state
• Diffractive pion production at COMPASS -- First results on 3$\pi$ final states - neutral mode

Cited by in corpus (21)

• An updated review of the new hadron states
• Observation of an isoscalar resonance with exotic $J^{PC}=1^{-+}$ quantum numbers in $J/\psi \to \gamma \eta {\eta }^{\prime }$
• Partial wave analysis of $J/\psi \to \gamma \eta {\eta }^{\prime }$
• Towards the establishment of the light $J^{P(C)}=1^{-(+)}$ hybrid nonet
• $S$- and $P$-wave fully-strange tetraquark states from QCD sum rules
• QCD axial anomaly enhances the $\eta {\eta }^{\prime }$ decay of the hybrid candidate ${\eta }_1(1855)$
• Revisiting the b1 pi and rho pi decay modes of the 1-+ light hybrid state with light-cone QCD sum rules
• Mass Predictions of Vector ($1^{--}$) Double-gluon Heavy Quarkonium Hybrids from QCD Sum Rules
• New hadron configuration: The double-gluon hybrid state
• Prediction of possible exotic states in the $\eta \bar{K}{K}^{\ast }$ system
• Angular momentum coefficients for meson strong decay and unquenched quark models
• Constructing the $J^{P(C)}=1^{-(+)}$ light flavor hybrid nonet with the newly observed ${\eta }_1(1855)$
• Light double-gluon hybrid states from QCD sum rules
• Highly excited and exotic fully-strange tetraquark states
• Fully-strange tetraquark states with the exotic quantum numbers $J^{PC}=0^{+-}$ and $2^{+-}$
• Light double-gluon hybrid states with the exotic quantum numbers $J^{PC}=1^{-+}$ and $3^{-+}$
• Faddeev fixed center approximation to $\pi \bar{K}{K}^{\ast }$ system and the ${\pi }_1(1600)$
• Double-gluon charmonium hybrid states with various (exotic) quantum numbers
• Instanton Effects in QCD Sum Rules for the $0^{++}$ Hybrid
• Chiral corrections to the $1^{-+}$ exotic meson mass
• $\rho$ Meson Decays of Heavy Hybrid Mesons