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A generalized optical potential for elastic scattering induced by lightnuclei is calculated within the Feshbach projection operator method. The modelexplicitly takes into account the contribution of the projectile break-upcontinuum treated within a microscopic few-cluster model. In this work weformulate the model, deriving an explicit expression for the optical potential,and show ability of the model applying it to deuteron elastic scattering.

Generalized optical potential for weakly bound nuclei. I. Two-cluster projectiles