The key role of intramolecular Jahn-Teller vibrations and many-valley band spectrum effects in mechanism of superconductivity of doped fullerite C60

Some conceivable reasons for superconductivity and enhancement of the critical temperature Tc of the superconducting phase transition in doped cubic and hexagonal fullerene C60 crystals are analyzed. It is shown that of primary importance in the mechanism of superconductivity in such a molecular metal are the Jahn-Teller intramolecular vibrations which appear due to change of the charge state of the high symmetrical C60 molecules during the electron-phonon interaction; the effect of degeneration (many-valleyness) of narrow, bands with high density of states and many-particle Coulomb correlations (the local field effects) which result in increase of the coupling constant at the Cooper pairing of current carriers