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^{ +36}_{ -22} $ MeV and pole residue $ \lambda_{ X_{ cs}}= 6.19^{ +0.32}_{ -0.24}\times 10^{ -2}~\mathrm{ GeV^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{ GeV^5}$, which can be searched in the $\Upsilon \phi $ invariant mass distribution.
Categories: hep-ph