Newly observed resonance $X(4685)$: diquark-antidiquark picture

In this work, the mass and pole residue of $X(4685)$ state with spin-parity $J^P=1^{+}$ are computed by the QCD sum rule approaches up to operator dimension seven based on the diquark-antidiquark configuration. For its mass we get $m_{X_{cs}}=4607_{-22}^{+36}$ MeV and pole residue $ \lambda_{X_{cs}}= 6.19^{+0.32}_{-0.24}\times 10^{-2}~$\mathrm{G}\mathrm{e}{\mathrm{V}}^5$$, which may be checked via other nonperturbative approaches as well as future experiments. As a by product, the mass of the hidden-bottom partner state of the $X(4685)$ is extracted to be both around $m_{X_{bs}}=(10604-10924)$ MeV and ${\lambda }_{X_{bs}}=(42.2-53.7)\times {10}^{-2}\mathrm{G}\mathrm{e}{\mathrm{V}}^5$, which can be searched in the $\mathrm{{\rm Y}}\varphi$ invariant mass distribution.