Towards the assignment for the $4^1{S}_0$ meson nonet

Abstract

The strong decays of the $\pi (2070)$, $\eta (2010)$, $\eta (2100)$, $\eta (2190)$, and $\eta (2225)$ as the $4^1{S}_0$ quark-antiquark states are investigated in the framework of the ${}^3{P}_0$ meson decay model. It is found that the $\pi (2070)$, $\eta (2100)$, and $\eta (2225)$ appear to be the convincing $4^1{S}_0$ $q\bar{q}$ states while the assignment of the $\eta (2010)$ and $\eta (2190)$ as the $4^1{S}_0$ isoscalar states is not favored by their widths. In the presence of the $\pi (2070)$, $\eta (2100)$, and $\eta (2225)$ being the members of the $4^1{S}_0$ meson nonet, the $4^1{S}_0$ kaon is phenomenologically determined to has a mass of about 2153 MeV. The width of this unobserved kaon is expected to be about 197 MeV in the ${}^3{P}_0$ decay model.

15 pages, 5 figures, version accepted for publication in Physical Review D

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• Constructing new pseudoscalar meson nonets with the observed $X(2100)$, $X(2500)$, and $\eta (2225)$
• Exploring open-charm decay mode ${\Lambda }_c{\bar{\Lambda }}_c$ of charmonium-like state $Y(4630)$
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• Analysis of the charmed mesons $D_1^{\ast }(2680)$, $D_3^{\ast }(2760)$ and $D_2^{\ast }(3000)$
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