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Nature of the vector resonance $Y\left(2175\right)$

Agaev, S. S.; Azizi, K.; Sundu, H.


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        "affiliation": "Institute for Physical Problems, Baku State University, Az-1148 Baku, Azerbaijan", 
        "name": "Agaev, S.\u2009S."
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        "affiliation": "Department of Physics, University of Tehran, North Karegar Avenue, Tehran 14395-547, Iran", 
        "name": "Azizi, K."
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        "affiliation": "Department of Physics, Kocaeli University, 41380 Izmit, Turkey", 
        "name": "Sundu, H."
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    "description": "<p>Spectroscopic parameters and decay channels of the vector resonance $Y\\left(2175\\right)$ 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 $Y\\left(2175\\right)$ 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 $\\varphi {f}_{0}\\left(980\\right)$, $\\varphi \\eta $, and $\\varphi {\\eta }^{\\prime }$ are computed as well. To this end, we explore the vertices $Y\\varphi {f}_{0}\\left(980\\right)$, $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 $Y\\varphi {f}_{0}\\left(980\\right)$ is found using the full version of this method, and by treating the scalar meson ${f}_{0}\\left(980\\right)$ 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 ${m}_{Y}=\\left(2173\u00b185\\right)\\text{}\\text{}\\mathrm{MeV}$ 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 ${\\Gamma }_{\\mathrm{full}}=\\left(91.1\u00b120.5\\right)\\text{}\\text{}\\mathrm{MeV}$ of the $Y\\left(2175\\right)$ saturated by its three strong decay channels is in a reasonable agreement with existing experimental data.</p>", 
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