ORBITAL PAIRING EFFECTS IN FULLERENES

We propose a theory of superconductivity for a crystal having multiple band structure. The theory is valid for the parameter delta(k(F)/HBAR omega much-less-than 1 when the splitting between bands delta(k(F)) is small in comparison with the phonon frequency HBARomega. The theory m ay be applicable to the doped fullerenes where it is widely supposed t hat pairing occurs through high-energy intramolecular phonons. As in s emiconductors, the bunch of bands is treated by ascribing the highest spin to electrons. We derive the analytic expression for the critical temperature, which strongly depends on the value of the total spin of the Cooper pair, which may be equal to Y = 0,1,...... In all cases the order parameter is a vector with components proportional to spherical harmonics and at the same time the superconducting gap has no zeros. The data may be fitted to doped fullerenes, if the superconductivity a rises from d-pairing.