File:PhysRevC.100.024901.pdf

English: With the imminent construction of an electron-ion collider in the USA, both saturation physics and nuclear shadowing physics will be important for the same processes for the first time, particularly for the exclusive production of vector mesons, such as the J/Ψ. In this paper we investigate the underlying assumptions commonly made when phenomenologically investigating this process from a shadowing and saturation perspective. We use the bSat model which is commonly used to describe saturation physics, and a calculation by Ryskin which is commonly used when describing nuclear shadowing at leading twist. It is expected that the bSat model is equivalent to Ryskin's result in the hard-scattering and nonrelativistic limits. By explicitly taking these limits we show that the bSat model does indeed become equivalent to Ryskin's result. However, two more approximations are needed for this result. First, the factorization and renormalization scales in the bSat model have to be independent of the dipole radius, and second, we need to omit a term in the overlap between the vector meson and virtual photon wave functions. We show that for the typical dipole radius of the J/Ψ, the different approximations offset each other and the bSat model agrees very well with Ryskin's calculation in hard-scattering and nonrelativistic limits.