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We introduce a new type of correction for a more accurate description offullerenes within the spherically symmetric jellium model. This correctionrepresents a pseudopotential which originates from the comparison between anaccurate ab initio calculation and the jellium model calculation. It is shownthat such a correction to the jellium model allows one to account, at leastpartly, for the sp2-hybridization of carbon atomic orbitals. Therefore, it maybe considered as a more physically meaningful correction as compared with astructureless square-well pseudopotential which has been widely used earlier.

Hybridization-related correction to the jellium model for fullerenes