Highly excited and exotic fully-strange tetraquark states

Abstract Some hadrons have the exotic quantum numbers that traditional $$\bar{q} q$$ q ¯ mesons and qqq baryons can not reach, such as $$J^{PC} = 0^{--}/0^{+-}/1^{-+}/2^{+-}/3^{-+}/4^{+-}$$ J PC = 0 - / + 1 2 3 4 , etc. We investigate for first time number $$J^{PC}=4^{+-}$$ study fully-strange tetraquark states with an number. systematically construct all diquark–antidiquark interpolating currents, apply method of QCD sum rules to calculate both diagonal off-diagonal correlation functions. The obtained results are used three mixing currents nearly non-correlated, we use one them extract mass lowest-lying state be $$2.85^{+0.19}_{-0.22}$$ . 85 0.22 0.19 GeV. Fierz rearrangement transform this current combination meson–meson identity suggests dominantly decays into P -wave $$\phi (1020) f_2^\prime (1525)$$ ϕ ( 1020 ) f ′ 1525 channel. This is a purely hadron potentially observed in future particle experiments.