Threshold effects as the origin of $Y(4500)$ observed in $e^{+}{e}^{-}\to J/\psi K^{+}{K}^{-}$

Abstract

The BESIII collaboration has recently observed a resonant structure $Y(4500)$ in $e^{+}{e}^{-}\to J/\psi K^{+}{K}^{-}$, whose origin remains unresolved. In this study, we analyze the cross section line shape of $e^{+}{e}^{-}\to J/\psi K^{+}{K}^{-}$ by taking into account the $\psi (4415)$ state and intermediate charmed meson loops. By treating $\psi (4415)$ as both a pure $S$-wave state and $S$-$D$ mixed states, and introducing the $Z_{cs}^{(\prime )}$ resonance, we find that the $Y(4500)$ peak at $\sqrt{s}=4.5\text{GeV}$ arises from the triangle singularity mechanism in the $Z_{cs}^{(\prime )}$-mediated rescattering processes, supporting its interpretation as a threshold effect rather than a conventional resonance.

Comments: 13 pages, 8 figures