The impact of $S$-wave thresholds $D_{s1}{\bar{D}}_s+c.c.$ and $D_{s0}{\bar{D}}_s^{\ast }+c.c.$ on vector charmonium spectrum

Zheng Cao, Qiang Zhao

By investigating the very closely lied $D_{s1}{\bar{D}}_s+c.c.$ and $D_{s0}{\bar{D}}_s^{\ast }+c.c.$ thresholds at about 4.43 GeV we propose that the $\psi (4415)$ and $\psi (4160)$ can be mixin…