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

Abstract

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 ${\lambda }_{X_{cs}}=6.19_{-0.24}^{+0.32}\times 10^{-2}\mathrm{Ge}{\mathrm{V}}^5$, 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 ${\lambda }_{X_{bs}}=(42.2-53.7)\times 10^{-2}\mathrm{Ge}{\mathrm{V}}^5$, which can be searched in the ${\rm Y}\varphi$ invariant mass distribution.