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The $\phi$-meson properties in cold nuclear matter are investigated byimplementing resonant $\phi N$ interactions as described in effectiveapproaches including the unitarization of scattering amplitudes. Several$N^*$-like states are dynamically generated in these models around $2$ GeV, inthe vicinity of the $\phi N$ threshold. We find that both these states and thenon-resonant part of the amplitude contribute sizably to the $\phi$ collisionalself-energy at finite nuclear density. These contributions are of a similarstrength as the widely studied medium effects from the $\bar K K$ cloud.Depending on model details (position of the resonances and strength of thecoupling to $\phi N$) we report a $\phi$ broadening up to about $40$-$50$ MeV,to be added to the $\phi\to\bar K K$ in-medium decay width, and an attractiveoptical potential at threshold up to about $35$ MeV at normal matter density.The $\phi$ spectral function develops a double peak structure as a consequenceof the mixing of resonance-hole modes with the $\phi$ quasi-particle peak. Theformer results point in the direction of making up for missing absorption asreported in $\phi$ nuclear production experiments.

$\phi$ meson self-energy in nuclear matter from $\phi N$ resonant interactions