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The pair binding energy can be significantly enhanced over this classical value in the nonadiabatic weak-coupling regime as the exact diagonalization of (Formula presented) molecules shows [A. Auerbach, N. Manini and E. Tosatti, Phys. Rev. B 49, 12t998 (1994)]. In the case of doped fullerenes with a finite polaronic band of the order of 100 meV the retardation effects are expected to be important for the binding via low-frequency (Formula presented) modes thus justifying the classical formula, Eq. (15).
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