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We discuss the compatibility of the most accurate experimental data with theordinary Migdal-Eliashberg theory of superconductivity in the fullerenecompound Rb_3C_60. By using different model phonon spectra we conclude that theexperimental data can be fitted only by invoking an electron-phonon coupling oforder \lambda\simeq 3. This exceedingly high value is unphysical and it is notconsistent with the basic assumptions of the Migdal-Eliashberg theory. On thecontrary, by relaxing the adiabatic hypothesis on which the Migdal-Eliashbergtheory rests, the experimental data can be fitted by much more realistic valuesof \lambda. This generalized theory predicts also characteristic featuresabsent in the Migdal-Eliashberg framework which can be experimentally tested.Comment: 6 pages, 2 eps figures, Conference proceeding of SATT10. To appear on  Int. J. of Mod. Phys.

FAILURE OF THE MIGDAL-ELIASHBERG THEORY OF SUPERCONDUCTIVITY IN Rb3C60

FAILURE OF THE MIGDAL-ELIASHBERG THEORY OF SUPERCONDUCTIVITY IN Rb₃C₆₀