Abstract
We study the effective pairing interaction mediated by the vibration of the O-ions in the insulating layers in the high- T c oxide superconductors, and find that the on-site attractive interaction may become strong enough to dominate the on-site repulsion. Such strong electron-phonon coupling is due to the poor screening effects by the conduction electrons in the CuO 2 -conducting layers. Using this effective pairing interaction together with the realistic values of the parameters, we calculate T c for various types of anisotropic pairing states as functions of the average number of the conduction electrons. The results suggest that the S-like pairing state containing the anisotropic component may be the most favorable. We also study the isotope effect and find that it is appreciably suppressed when the Fermi level stays near the Van Hove singularity.
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