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In this paper, we have investigated the importance of quark charm in nuclear structure functions in the color dipole model at small . The charm structure function per nucleon for light and heavy nuclei in a wide range of transverse separations with renormalization and factorization scales are considered. Bounds on the ratio for nuclei are well described with respect to the electron-ion future colliders kinematic range, i.e, EIC and EIcC colliders.

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