Systematic study of exotic $1^{-+}$ tetraquark spectroscopy

Abstract

The masses of exotic quantum-number $1^{-+}$ compact tetraquark states are calculated in a constituent quark model, where a Cornell-like potential is employed as the central potential, spin-spin and spin-orbit coupling derived from the Breit-Fermi interaction are treated as hyperfine corrections, and model parameters are taken from previous works. The ground state $1^{-+}$ P-wave tetraquarks are predicted at 1.9, 4.2, and 6.6~GeV for the light, charmonium-like, and fully-charm sectors, respectively. The decay width ratios of $1^{-+}$ tetraquark states are calculated for two-body strong decay channels within the rearrangement mechanism, including $\omega h_1$ and $\eta f_1$ for isospin $I=0$ light tetraquarks, $\rho h_1$ and $\pi f_1$ for isospin $I=1$ light tetraquarks, $\pi /\eta +{\chi }_{c1}$ and $\rho /\omega +h_c$ for charmonium-like tetraquarks, and ${\eta }_c{\chi }_{c1}$ and $J/\psi h_c$ for fully-charm tetraquarks. The theoretical results are compared with the observed exotic $1^{-+}$ states, and promising search channels for $1^{-+}$ tetraquarks are discussed. The work suggests that ${\eta }_1(1855)$ is unlikely to be a compact tetraquark state.

References in corpus (36)

• Observation of a Broad Structure in the ${\pi }^{+}{\pi }^{-}J/\psi$ Mass Spectrum around 4.26 GeV/$c^2$
• Observation of structure in the $J/\psi$-pair mass spectrum
• Observation of Two Resonant Structures in e+e- to pi+ pi- psi(2S) via Initial State Radiation at Belle
• Toward the excited meson spectrum of dynamical QCD
• Hybrid Mesons
• Toward the excited isoscalar meson spectrum from lattice QCD
• New structures in the J/$\psi$J/$\psi$ mass spectrum in proton-proton collisions at $\sqrt{s}$ = 13 TeV
• Exotic Meson Production in the $f_1(1285){\pi }^{-}$ System observed in the Reaction ${\pi }^{-}p\to \eta {\pi }^{+}{\pi }^{-}{\pi }^{-}p$ at 18 GeV/c
• Observation of an excess of di-charmonium events in the four-muon final state with the ATLAS detector
• Exotic Meson Decay to $\omega {\pi }^0{\pi }^{-}$
• Observation of an isoscalar resonance with exotic $J^{PC}=1^{-+}$ quantum numbers in $J/\psi \to \gamma \eta {\eta }^{\prime }$
• Interpretation of structure in the di-$J/\psi$ spectrum
• Observation of the $Y(4230)$ and a new structure in $e^{+}{e}^{-}\to K^{+}{K}^{-}J/\psi$
• Study of charmonium-like and fully-charm tetraquark spectroscopy
• The I^G J^{PC}=1^- 1^{-+} Tetraquark States
• Higher fully-charmed tetraquarks: Radial excitations and P-wave states
• Possible structure of the newly found exotic state ${\eta }_1(1855)$
• Towards the establishment of the light $J^{P(C)}=1^{-(+)}$ hybrid nonet
• The I^G J^{PC}=0^+ 1^{-+} Tetraquark State
• The phenomenology of the exotic hybrid nonet with ${\pi }_1(1600)$ and ${\eta }_1(1855)$
• QCD axial anomaly enhances the $\eta {\eta }^{\prime }$ decay of the hybrid candidate ${\eta }_1(1855)$
• Analysis of the ${\eta }_1(1855)$ as a $K{\bar{K}}_1(1400)$ molecular state
• $1^{-+}$ Hybrid in $J/\psi$ Radiative Decays from Lattice QCD
• Determination of the spin and parity of all-charm tetraquarks
• Revisiting the b1 pi and rho pi decay modes of the 1-+ light hybrid state with light-cone QCD sum rules
• Production of the ${\eta }_1(1855)$ through kaon induced reactions under the assumptions that it is a molecular or a hybrid state
• Light Hybrid Meson Mixing and Phenomenology
• Constructing the $J^{P(C)}=1^{-(+)}$ light flavor hybrid nonet with the newly observed ${\eta }_1(1855)$
• Radiative production and decays of the exotic ${\eta }_1^{\prime }(1855)$ and its siblings
• On the ${\eta }_1(1855)$, ${\pi }_1(1400)$ and ${\pi }_1(1600)$ as dynamically generated states and their SU(3) partners
• First Observation of the Direct Production of the ${\chi }_{c1}$ in $e^{+}{e}^{-}$ Annihilation
• Fully charmed P-wave tetraquark resonant states in the quark model
• Mixing angle of $K_1(1270/1400)$ and the $K{\bar{K}}_1(1400)$ molecular interpretation of ${\eta }_1(1855)$
• Production of $1^{-+}$ exotic charmonium-like states in electron-positron collisions
• Proper constituent gluon mass as the final piece to construct hybrid mesons
• Investigating hybrid mesons with $0^{+-}$ and $2^{+-}$ exotic quantum numbers