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We study the single-spin asymmetry, , arising from Coulomb-nuclear interference (CNI) at small 4-momentum transfer squared, , aiming at explanation of the recent data from the PHENIX experiment at RHIC on polarized proton-nucleus scattering, exposing a nontrivial -dependence of . We found that the failure of previous theoretical attempts to explain these data, was due to lack of absorptive corrections in the Coulomb amplitude of elastic scattering. Our prominent observation is that the main contribution to comes from interference of the amplitudes of ultra-peripheral and central collisions.

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