Spectroscopic parameters and decay channels of the vector resonance $Y(2175)$ are studied by considering it as a diquark-antidiquark state with the quark content $su\overline{s}\overline{u}$. The mass and coupling of the tetraquark $Y(2175)$ are calculated using the QCD two-point sum rules by taking into account various quark, gluon and mixed condensates up to dimension 15. Partial widths of its strong decays to $\varphi f_0(980)$, $\varphi \eta$, and $\varphi {\eta }^{\prime }$ are computed as well. To this end, we explore the vertices $Y\varphi f_0(980)$, $Y\varphi \eta$, and $Y\varphi {\eta }^{\prime }$, and calculate the corresponding strong couplings by means of the QCD light-cone sum rule method. The coupling $G_{Y\varphi f}$ of the vertex $Y\varphi f_0(980)$ is found using the full version of this method, and by treating the scalar meson $f_0(980)$ as a diquark-antidiquark tetraquark state. The couplings $g_{Y\varphi \eta }$ and $g_{Y\varphi {\eta }^{\prime }}$, however, are calculated by applying the soft-meson approximation to the light-cone sum rule method. Prediction for the mass of the resonance $m_Y=(2173\pm 85)\mathrm{MeV}$ is in excellent agreement with the data of the BABAR Collaboration [Phys. Rev. D 74, 091103 (2006)], and within errors of calculations is compatible with the result reported by BESIII [Phys. Rev. D 91, 052017 (2015)]. The full width ${\mathrm{\Gamma }}_{\mathrm{full}}=(91.1\pm 20.5)\mathrm{MeV}$ of the $Y(2175)$ saturated by its three strong decay channels is in a reasonable agreement with existing experimental data.

• Received 22 November 2019
• Accepted 30 March 2020

DOI:https://doi.org/10.1103/PhysRevD.101.074012

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Published by the American Physical Society