Highly excited and exotic fully-strange tetraquark states

Abstract

Some hadrons have the exotic quantum numbers that the traditional $\bar{q}q$ mesons and $qqq$ baryons can not reach, such as $J^{PC}=0^{--}/0^{+-}/1^{-+}/2^{+-}/3^{-+}/4^{+-}$, etc. We investigate for the first time the exotic quantum number $J^{PC}=4^{+-}$, and study the fully-strange tetraquark states with such an exotic quantum number. We systematically construct all the diquark-antidiquark interpolating currents, and apply the method of QCD sum rules to calculate both the diagonal and off-diagonal correlation functions. The obtained results are used to construct three mixing currents that are nearly non-correlated, and we use one of them to extract the mass of the lowest-lying state to be $2.85_{-0.22}^{+0.19}$ GeV. We apply the Fierz rearrangement to transform this mixing current to be the combination of three meson-meson currents, and the obtained Fierz identity suggests that this state dominantly decays into the $P$-wave $\varphi (1020)f_2^{\prime }(1525)$ channel. This fully-strange tetraquark state of $J^{PC}=4^{+-}$ is a purely exotic hadron to be potentially observed in future particle experiments.

8 pages, 7 figures, 1 table, revised version to be published in EPJC

References in corpus (11)

• The Physics of Glueballs
• Hybrid Mesons
• Towards the glueball spectrum from unquenched lattice QCD
• The I^G J^{PC}=1^- 1^{-+} Tetraquark States
• Finding the $0^{--}$ Glueball
• Towards the establishment of the light $J^{P(C)}=1^{-(+)}$ hybrid nonet
• The I^G J^{PC}=0^+ 1^{-+} Tetraquark State
• Prediction of a narrow exotic hadronic state with quantum numbers $J^{PC}=0^{--}$
• Exotic glueball $0^{\pm -}$ states in 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
• Revisiting the b1 pi and rho pi decay modes of the 1-+ light hybrid state with light-cone QCD sum rules

Cited by in corpus (6)

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• Fragmentation of fully heavy tetraquarks: The TQ4Q1.1 functions as a case study
• Fully-strange tetraquark states with the exotic quantum numbers $J^{PC}=0^{+-}$ and $2^{+-}$
• Tetraquark-Jet Systems at the High-Luminosity LHC
• Fully strange tetraquark states via QCD sum rules