Production and in-medium modification of $\phi$ mesons in proton-nucleus reactions from a transport approach

Production and in-medium modification of hidden strange $\phi$ mesons are studied in proton-nucleus reactions - p+C, p+Cu and p+Pb - at 12 GeV/c, partially measured by the KEK E325 collaboration via the dilepton decay mode. This work is based on the off-shell microscopic Parton-Hadron-String Dynamics (PHSD) transport approach, which provides the dynamical description of strongly interacting hadronic and partonic degrees of freedom in dense matter, and especially makes it possible to simulate in-medium off-shell dynamics of the $\phi$ meson in the reactions studied. Different in-medium scenarios for the modification of the $\phi$ meson spectral function in nuclear matter are investigated: i) dropping pole mass, ii) collisional broadening and iii) simultaneous dropping pole mass and collisional broadening. Even though the $\phi$ meson production in p+A reactions occurs only at densities around or below normal nuclear matter density $\rho_0$, we find visible modifications of the generated dilepton spectra for the in-medium scenarios compared to the vacuum distribution.