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In the framework of the one-boson exchange model, we have calculated theeffective potentials between two heavy mesons $B^* \bar{B}^{*}$ and $D^*\bar{D}^{*}$ from the t- and u-channel $\pi$-, $\eta$-, $\rho$-, $\omega$- and$\sigma$-meson exchanges. We keep the recoil corrections to the $B^*\bar{B}^{*}$ and $D^* \bar{D}^{*}$ systems up to $O(\frac{1}{M^2})$, whichturns out to be important for the very loosely bound molecular states. Ournumerical results show that the momentum-related corrections are favorable tothe formation of the molecular states in the $I^G=1^+$, $J^{PC}=1^{+-}$ in the$B^* \bar{B}^{*}$ and $D^* \bar{D}^{*}$ systems.

The recoil correction and spin-orbit force for the possible $B^* \bar{B}^{*}$ and $D^* \bar{D}^{*}$ states

The recoil correction and spin-orbit force for the possible $B^* \bar{B}^{}$ and $D^ \bar{D}^{*}$ states