Two charged strangeonium-like structures observable in the $Y(2175) \to ϕ(1020)π^{+} π^{-}$ process

Via the Initial Single Pion Emission (ISPE) mechanism, we study the $ϕ(1020)π^{+}$ invariant mass spectrum distribution of $Y(2175) \to ϕ(1020)π^{+} π^{-}$. Our calculation indicates there exist a sharp peak structure ($Z_{s1}^+$) close to the $K\bar{K}^\ast$ threshold and a broad structure ($Z_{s2}^+$) near the $K^\ast\bar{K}^\ast$ threshold. In addition, we also investigate the $ϕ(1680) \to ϕ(1020)π^{+} π^{-}$ process due to the ISPE mechanism, where a sharp peak around the $K\bar{K}^\ast$ threshold appears in the $ϕ(1020)π^{+}$ invariant mass spectrum distribution. We suggest to carry out the search for these charged strangeonium-like structures in future experiment, especially Belle II, Super-B and BESIII.

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