High energy nucleus-nucleus collision and halo radii in different approaches of Glauber theory

The complete Glauber calculation of the differential cross sections of ${}^{12}$C–${}^{12}$C and halo nuclei on ${}^{12}$C scattering was performed using the previously proposed in Refs.~\cite{Shabelski:2021iqk, Shabelski:2022xkw} method of generating function. The results are different as compared with the similar calculations in the optical model and the rigid target approximation. The halo nuclei radii extracted from the scattering data via the complete Glauber analysis come out to be larger than those obtained in the approximate approaches