Searching for charmoniumlike states with hidden $s\bar{s}$

Abstract

We investigate the processes $e^{+}{e}^{-}$$\to$$\gamma J/\psi \varphi$, $\gamma J/\psi \omega$ and ${\pi }^{0}J/\psi \eta$ to search for the charmnium-like states with hidden $s\bar{s}$, such as $Y(4140)$, $Y(4274)$, $X(4350)$ and $X(3915)$. These processes will receive contributions from the charmed-strange meson rescatterings. When the center-of-mass energies of the $e^{+}{e}^{-}$ scatterings are taken around the $D_{s0}(2317)D_s^{\ast }$, $D_{s1}(2460)D_s$ or $D_{s1}(2460)D_s^{\ast }$ threshold, the anomalous triangle singularities can be present in the rescattering amplitudes, which implies a non-resonance explanation about the resonance-like structures. The positions of the anomalous triangle singularities are sensitive to the kinematics, which offers us a criterion to distinguish the kinematic singularities from genuine particles.

Comments: 15 pages, 5 figures, 2 tables