Mass of $1^{-+}$ four-quark--hybrid mixed states

Abstract

We calculate the masses of $J^{PC}=1^{-+}$ light exotic mesons by QCD sum rules; the masses are extracted from four-quark--hybrid mixing correlation functions. We construct several $1^{-+}$ four-quark currents and hybrid currents, and get two masses around $1.2\text{-}1.4\text{GeV}$ and $1.45\text{-}1.67\text{GeV}$; they can be identified as ${\pi }_1(1400)$ and ${\pi }_1(1600)$.

10 pages, 6 figures, 3 tables

References in corpus (4)

• Hybrid Mesons
• Power corrections to alpha_s(M_τ),|V_{us}| and m_s
• The I^G J^{PC}=1^- 1^{-+} Tetraquark States
• Tetraquark-adequate formulation of QCD sum rules

Cited by in corpus (8)

• An updated review of the new hadron states
• QCD axial anomaly enhances the $\eta {\eta }^{\prime }$ decay of the hybrid candidate ${\eta }_1(1855)$
• Mass Predictions of Vector ($1^{--}$) Double-gluon Heavy Quarkonium Hybrids from QCD Sum Rules
• Light double-gluon hybrid states from QCD sum rules
• 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 $3^{-+}$
• Mission Target: Exotic Multiquark Hadrons -- Sharpened Blades
• Mission Target: Tetraquark Mesons of Flavour-Cryptoexotic Type