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In this work, we study the hidden-strange molecular states composed of abaryon and a vector meson in a coupled-channel $N\rho-N\omega-N\phi-\LambdaK^*-\Sigma K^*$ interaction. With the help of the effective Lagrangians whichcoupling constants are determined by the SU(3) symmetry, the interaction isconstructed and inserted into the quasipotential Bethe-Salpeter equation tosearch for poles in the complex plane, which correspond to molecular states.Two poles are found with a spin parity $3/2^-$ near the $N\rho$ and the $\SigmaK^*$ thresholds, which can be related to the $N(1700)$ and the $N(2100)$,respectively. No pole near the $N\phi$ threshold can be found if directinteraction between a nucleon and $\phi$ meson is neglected according to theOZI rule. After introducing the QCD van der Waals force between a nucleon and$\phi$ meson, a narrow state can be produced near the $N\phi$ threshold.Inclusion of the QCD van der Waals force changes the line shape of theinvariant mass spectrum in the $N\phi$ channel leading to a worse agreementwith the present low-precision data. Future experiments at BelleII, JLab, andother facilities will be very helpful to clarify the existence of thesepossible hidden-strange molecular states.

Hidden-strange molecular states and the $N\phi$ bound state via a QCD van der Waals force