  The polarization-response spectrum of the fullerene C60 modeled as a
homogeneous spherical plasma shell is calculated in the framework of the
hydrodynamic approach allowing for the spatial dispersion caused by the
Fermi-distributed valence electrons. The dipole eigenoscillations spectrum of
the shell is found to contain a series of plasmons distinguished by the
frequency and the radial structure. The first two of them (whose structures for
C60 is the subject of discussion up to now) pass to the lower and higher
surface plasmons of the plasma shell if its thickness is much larger than
Tomas-Fermi length. However, under parameters values corresponding to the C60
molecule, when these lengths are of the same order, both these plasmons
(providing the main contribution to the fullerene absorption spectrum) are
found to be actually volume ones in their spatial structure, and the frequency
of the higher of them becomes larger than the plasma frequency (as with all the
higher volume plasmons). The resonance curve of the fullerene absorption
cross-section calculated on the basis of the developed model with allowance for
the surface losses caused by the reflection of electrons at the shell
boundaries agrees satisfactory with the experimental data.
