Abstract
The present data imply that $\phi(2170)$ may not be an excited state of $\phi$, but is a four quark state with $ss\bar s \bar s$ constituents. Furthermore, there are no two mesons of $s\bar s$ available to form a molecule which fits the mass spectrum of $\phi(2170)$, thus we suggest it should be an $ss\bar s \bar s$ tetraquark state. In this scenario, we estimate its decay rates through the fall-apart mechanism. Our theoretical estimates indicate that its main decay modes should be $\phi(2170)$ into $\phi f_0(980)$, $ h_1\eta$, $ h_1\eta'$, $K_1(1270)K$ and $K_1(1400)K$. Under this hypothesis the modes $\phi(2170)\to K^*(890)^0\bar K^*(890)^0$, $K^+K^-$ and $K^0_LK^0_S$ should be relatively suppressed. Since the width of $h_1$ is rather large, at present it is hard to gain precise data on $BR(\phi(2170)\to h_1\eta)$ and $BR(\phi(2170)\to h_1\eta')$ whose measurements may be crucial for drawing a definite conclusion about the inner assignment of $\phi(2170)$. We lay our expectation to the proposed charm-tau factory which will have much larger luminosity and better capacities.
Highlights
Very recently, a meson φð2170Þ came into the view of researchers because it may be a special exotic state
If it were a normal meson i.e., an excited state of φ the decay portals into KþK− and K0LK0S would be dominant as the ground φ does
Following conduction of more accurate experiments and innovated skills of analysis, many exotic mesons have been measured. These exotic states are proposed to be four-quark states [12,13,14,15,16,17,18,19,20,21], later two pentaquarks were observed by the LHCb Collaboration [22], which validates the suggestion about the existence of multiquark states
Summary
A meson φð2170Þ came into the view of researchers because it may be a special exotic state It was observed via its decay into φ þ f0ð980Þ [1]; some possible final states KÃ0KÆπÆ and KÃ0K Ã0 have not been seen. Following conduction of more accurate experiments and innovated skills of analysis, many exotic mesons have been measured These exotic states are proposed to be four-quark states (molecular states or tetraquarks states) [12,13,14,15,16,17,18,19,20,21], later two pentaquarks were observed by the LHCb Collaboration [22], which validates the suggestion about the existence of multiquark states. Even though it is true, the early allegation might not be
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