Relevance of the coupled channels in the $\phi$p and $\rho^0$p Correlation Functions

Abstract

The vector meson-baryon interaction in a coupled channel scheme is revisited within the correlation function framework. As illustrative cases to reveal the important role played by the coupled channels, we focus on the $\phi$p and $\rho^0$p systems given their complex dynamics and the presence of quasi-bound states or resonances in the vicinity of their thresholds. We show that the $\phi$p femtoscopic data provide novel information about a $N^*$ state present in the experimental region and anticipate the relevance of a future $\rho^0$p correlation function measurement in order to pin down the $S=0, Q=+1$ vector meson-baryon interaction as well as to disclose the characterizing features of the $N^*(1700)$ state.