Rescattering effects on spin-interference for $\rho^{0}$ photoproduction in heavy-ion collisions

Recent measurements by various experiments in ultra-peripheral collisions have observed spin-interference in $\rho^{0}$ photoproduction, marking a breakthrough in Fermi-scale quantum interference experiments. Building on this, STAR extended the measurement to hadronic heavy-ion collisions, where significant rescattering effects on $\rho^{0}$ mesons were expected. In this study, we investigate how these rescattering effects influence the measurement of spin-interference. By embedding $\rho^{0}$ mesons produced via photoproduction, modeled by the Vector Meson Dominance model, into the Ultrarelativistic Quantum Molecular Dynamics framework, we estimate the impact on the $\cos2\phi$ and $\cos4\phi$ modulations, where $\phi$ is the angle between $\rho^{0}$ and one of the daughters' ($\pi^{\pm}$) transverse momentum. The results indicate a significant suppression of the $\cos2\phi$ modulation, while the $\cos4\phi$ modulation remains largely unaffected, which provides insight for understanding the difference due to rescattering effects between experimental measurements and theoretical predictions for $\rho^{0}$ photoproduction in heavy-ion collisions.