Highly excited and exotic fully-strange tetraquark states

TL;DR

This paper investigates a novel fully-strange tetraquark state with exotic quantum number J^{PC}=4^{+-}, using QCD sum rules to estimate its mass and decay channels, proposing it as a potential observable in future experiments.

Contribution

First study of the exotic J^{PC}=4^{+-} fully-strange tetraquark using QCD sum rules, constructing mixing currents and predicting its mass and dominant decay mode.

Findings

Mass estimated at 2.85^{+0.19}_{-0.22} GeV.

State likely decays into P-wave φ(1020) f_2'(1525).

Identified as a purely exotic hadron with potential for experimental observation.

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 $2.85^{+0.19}_{-0.22}$ 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 $\phi(1020) f_2^\prime(1525)$ channel. This fully-strange tetraquark state of $J^{PC}=4^{+-}$ is a purely exotic hadron to be potentially observed in future particle experiments.