The I^G J^{PC}=0^+ 1^{-+} Tetraquark State

TL;DR

This paper investigates the properties of a specific exotic tetraquark state with quantum numbers I^G J^{PC} = 0^+ 1^{-+} using QCD sum rules, estimating its mass, decay modes, and width.

Contribution

It identifies the preferred flavor structure for the tetraquark and provides mass estimates and decay modes using both SVZ and finite energy sum rules.

Findings

Mass estimated around 1.8 - 2.1 GeV.

Possible decay modes include S-wave and P-wave channels.

Decay width roughly estimated at 150 MeV.

Abstract

We study the tetraquark state with I^G J^{PC} = 0^+ 1^{-+} in the QCD sum rule. We exhaust all possible flavor structures by using a diquark-antidiquark construction and find that the flavor structure 3*6+6*3 is preferred. There are altogether four independent currents which have the quark contents q s \bar q \bar s. By using both the Shifman-Vainshtein-Zakharov (SVZ) sum rule and the finite energy sum rule, these currents lead to mass estimates around 1.8 - 2.1 GeV, where the uncertainty is due to the mixing of two single currents. Its possible decay modes are S-wave b_1(1235) \eta and b_1(1235) \eta^\prime, and P-wave KK, \eta \eta, \eta \eta^\prime and \eta^\prime \eta^\prime, etc. The decay width is around 150 MeV through a rough estimation.