Abstract
The spectroscopic parameters and partial widths of the strong decay channels of the vector meson $Y(4660)$ are calculated by treating it as a bound state of a diquark and antidiquark. The mass and coupling of the $J^{PC}=1^{--}$ tetraquark $Y(4660) $ are evaluated in the context of the two-point sum rule method by taking into account the quark, gluon and mixed condensates up to dimension 10. The widths of the $Y(4660)$ resonance's strong $S$-wave decays to $J/\psi f_{0}(980)$ and $\psi(2S) f_{0}(980)$ as well as to $ J/\psi f_{0}(500)$ and $\psi(2S) f_{0}(500)$ final states are computed. To this end, strong couplings in the relevant vertices are extracted from the QCD sum rule on the light cone supplemented by the technical methods of the soft approximation. The obtained result for the mass of the resonance $ m_Y=4677^{+71}_{-63}\ \mathrm{MeV}$ and the prediction for its total width $ \Gamma_{Y}= (64.8 \pm 10.8)\ \mathrm{MeV}$ is in nice agreement with the experimental information.
Highlights
The last 15 years were very fruitful for hadron physics due to valuable information on properties of the hadrons collected by numerous experimental collaborations and owing to new theoretical ideas and predictions that extended the boundaries of our knowledge about the quark-gluon structure of elementary particles
The mass and coupling of the JPC 1⁄4 1−− tetraquark Yð4660Þ are evaluated in the context of the two-point sum rule method by taking into account the quark, gluon, and mixed condensates up to dimension 10
The existence of the multiquark states does not contradict the fundamental principles of QCD and was foreseen in the first years of QCD [1], but only results of the Belle Collaboration about the narrow resonance Xð3872Þ placed the physics of multiquark hadrons on a firm basis of experimental data [2]
Summary
The last 15 years were very fruitful for hadron physics due to valuable information on properties of the hadrons collected by numerous experimental collaborations and owing to new theoretical ideas and predictions that extended the boundaries of our knowledge about the quark-gluon structure of elementary particles. The vector tetraquarks with different P and C parities can be built using the five independent diquark fields with spin 0 and 1 and different P parities [21] This implies the existence of numerous diquark-antidiquark structures and, as a result, different interpolating currents with the same quantum numbers JPC 1⁄4 1−−. We treat the Yð4660Þ resonance as the vector tetraquark with 1⁄2cs1⁄2cs content and compute its total width To this end, we first recalculate the mass and coupling of Yð4660Þ, which enter as the important input parameters into its partial decay widths.
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