Nuclear shadowing at small Bjorken-x from diffractive scattering

We calculate the nuclear shadowing ratio at small Bjorken-x for nuclei in the mass range $4 \leq A \leq 240$. We work in the kinematic regime relevant to small-x shadowing data of both the NMC and E665 experiments. The diffractive dissociation cross section, which is an input to our calculation, is parameterized separating the low-mass resonances and the high-mass continuum, following the H1 collaboration [1], using data from FNAL [2]. Our calculated results are in reasonable agreement with the NMC/E665 data at $x \approx 10^{-4}$, indicating the applicability of generalized Gribov theory.\\[2ex] 1. C. Adloff {\it et al.} [H1 Collaboration], Z. Phys. C {\bf 74}, 221 (1997).\\ 2. T.J. Chapin {\it et al.}, Phys. Rev. D {\bf 31}, 17 (1995).