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Y ( 2175 ) state in the QCD sum rule

2008; American Physical Society; Volume: 78; Issue: 3 Linguagem: Inglês

10.1103/physrevd.78.034012

1550-7998

Hua-Xing Chen, Xiang Liu, Atsushi Hosaka, Shi-Lin Zhu,

High-Energy Particle Collisions Research

We study the mass of the state $Y(2175)$ of ${J}^{PC}={1}^{--}$ in the QCD sum rule. We construct both the diquark-antidiquark currents $(ss)(\overline{s}\overline{s})$ and the meson-meson currents $(\overline{s}s)(\overline{s}s)$. We find that there are two independent currents for both cases and derive the relations between them. The operator product expansion convergence of these two currents is sufficiently fast, which enables us to perform good sum rule analysis. Both the SVZ (Shifman-Vainshtein-Zakharov) sum rule and the finite energy sum rule lead to a mass around $2.3\ifmmode\pm\else\textpm\fi{}0.4\text{ }\text{ }\mathrm{GeV}$, which is consistent with the observed mass within the uncertainties of the present QCD sum rule. The coupling of the four-quark currents to lower lying states such as $\ensuremath{\phi}(1020)$ turns out to be rather small. We also discuss possible decay properties of $Y(2175)$ if it is a tetraquark state.