Exotic tetraquark $ud\overline{s}\overline{s}$ of ${J}^{P}={0}^{+}$ in the QCD sum rule

Exotic tetraquark $u d \bar{s} \bar{s}$ of $J^{P} = 0^{+}$ in the QCD sum rule

Hua-Xing Chen, Atsushi Hosaka, and Shi-Lin Zhu

Phys. Rev. D 74, 054001 – Published 1 September 2006

Abstract

We study a QCD sum rule analysis for an exotic tetraquark $u d \bar{s} \bar{s}$ of $J^{P} = 0^{+}$ and $I = 1$ . We construct $q q \bar{q} \bar{q}$ currents in a local product form and find that there are five independent currents for this channel. Because of the high dimensional nature of the current, it is not easy to form a good sum rule when using a single current. This means that we do not find any sum rule window to extract reliable results, due to the insufficient convergence of the operator product expansion and to the exceptional important role of QCD continuum. Then we examine sum rules by using currents of linear combinations of two currents among the independent ones. We find two reasonable cases that predict a mass of the tetraquark around 1.5 GeV.