Mass spectrum and strong decays of strangeonium in a constituent quark model

Abstract

In this work we calculate the mass spectrum of strangeonium up to the $3D$ multiplet within a nonrelativistic linear potential quark model. Furthermore, using the obtained wave functions, we also evaluate the strong decays of the strangeonium states with the ${}^3{P}_0$ model. Based on our successful explanations of the well established states $\varphi (1020)$, $\varphi (1680)$, $h_1(1415)$, $f_2^{\prime }(1525)$, and ${\varphi }_3(1850)$, we further discuss the possible assignments of strangeonium-like states from experiments by combining our theoretical results with the observations. It is found that some resonances, such as $f_2(2010)$ and $f_2(2150)$ listed by the Particle Data Group, and $X(2062)$ and $X(2500)$ newly observed by BESIII, may be interpreted as the strangeonium states. The possibility of $\varphi (2170)$ as a candidate for $\varphi (3S)$ or $\varphi (2D)$ cannot be excluded. We expect our results to provide useful references for looking for the missing $s\bar{s}$ states in future experiments.

arXiv comment33 pages, 18 tables, typo in Table X is corrected

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