Nature of the vector resonance $Y(2175)$

Abstract

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 $m_Y=\left(2173\pm 85\right)\mathrm{MeV}$ is in excellent agreement with the data of the BaBar Collaboration \cite{Aubert:2006bu}, and within errors of calculations is compatible with the result reported by BESIII \cite {Ablikim:2014pfc}. The full width ${\Gamma }_{\mathrm{full}}=(91.1\pm 20.5)\mathrm{MeV}$ of the $Y(2175)$ saturated by its three strong decay channels is in a reasonable agreement with existing experimental data.

11 Pages, 4 Figures and 1 Table

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Cited by in corpus (16)

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• Study of the process $e^{+}{e}^{-}\to \varphi \eta$ at center-of-mass energies between 2.00 and 3.08 GeV
• Electromagnetic form factors of $\Lambda$ hyperon in the vector meson dominance model and a possible explanation of the near-threshold enhancement of the $e^{+}{e}^{-}\to \Lambda \bar{\Lambda }$ reaction
• Cross section measurement of $e^{+}{e}^{-}\to K_S^0{K}_L^0$ at $\sqrt{s}=2.00-3.08\mathrm{GeV}$
• Fully strange tetraquark resonant states as the cousins of $X(6900)$
• Partial decay widths of $\varphi (2170)$ to kaonic resonances
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• Higher strangeonium decays into light flavor baryon pairs like $\Lambda \bar{\Lambda }$, $\Sigma \bar{\Sigma }$, and $\Xi \bar{\Xi }$
• The fully-light vector tetraquark states with explicit P-wave via the QCD sum rules
• The ground states and the first radially excited states of D-wave vector $\rho$ and $\varphi$ mesons
• Investigation of Mass and Decay Characteristics of the Light-Strange Tetraquark
• Revisiting the assignment of $1^3{D}_1$ meson nonet
• Search for the $Y(2175)$ in the photoproduction cross section measurement of $\gamma p\to \varphi {\pi }^{+}{\pi }^{-}p$ at GlueX