  First results on the interaction between the $\phi$-meson and the nucleon
($N$) are presented based on the ($2+1$)-flavor lattice QCD simulations with
nearly physical quark masses. Using the HAL QCD method, the spacetime
correlation of the $N$-$\phi$ system in the spin 3/2 channel is converted into
the $N$-$\phi$ scattering phase shift through the interaction potential. The
$N$-$\phi$ potential appears to be a combination of a short-range attractive
core and a long-range attractive tail. The latter is found to be consistent
with the two-pion exchange (TPE) obtained from the interaction between a
color-dipole and the nucleon. The resultant scattering length and effective
range for $m_{\pi}=$ 146.4 MeV are $ a^{(3/2)}_0=-1.43(23)_{\rm
stat.}\left(^{+36}_{-06}\right)_{\rm syst.} {\rm fm}$ and $ r^{(3/2)}_{\rm
eff}=2.36(10)_{\rm stat.}\left(^{+02}_{-48}\right)_{\rm syst.} {\rm fm}$,
respectively. The magnitude of the scattering length is shown to have
nontrivial dependence of $m_{\pi}$ and is sensitive to the existence of the
long-range tail from TPE.
