We have studied the energy dependence of several first scattering phases with multiatomic object. As concrete examples representing the general trends endohedrals Ne@C₆₀ and Ar@C₆₀ are considered. It appeared that the presence of an inner atom, either Ne or Ar, qualitatively affects the scattering phases, in spite of the fact that the fullerene consists of 60 carbon atoms, while the atom staffed inside is only one. Calculations are performed in the one-electron Hartree-Fock (HF) and random phase approximation with exchange (RPAE) for the inner atom while the fullerenes shell is substituted by static potential without and with the polarization potential. It appeared that the total endohedral scattering phase is simply a sum of atomic, Ne or Ar, and fullerenes C₆₀ phases, contrary to the intuitive assumption that the total phases on C₆₀ and Ne@C₆₀ or Ar@C₆₀ has to be the same.

Within the framework of a Dirac bubble potential model for the C ₆₀ fullerene shell, we calculated the time delay in slow-electron elastic scattering by C ₆₀ . It appeared that the time of transmission of an electron wave packet through the Dirac bubble potential sphere that simulates a real potential of the C ₆₀ cage exceeds by more than an order of magnitude the transmission time via a single atomic core. Resonances in the times delay are due to the temporary trapping of electron into quasi-bound states before it leaves the interaction region.

Calculated generalized oscillator strengths for monopole, dipole, and quadrupole discrete and continuous spectrum excitations in Ne, Ar, Kr, and Xe are presented. The results cover the broad range of transferred energy $\omega ,\hspace{0.5em}0<~\omega <120\mathrm{}\hspace{0.5em}\mathrm{Ry}$ and momentum $q,\hspace{0.5em}0<~q<\mathrm{}2\mathrm{}\hspace{0.5em}\mathrm{a}.\mathrm{u}.$ The calculations were performed in the one-particle Hartree-Fock approximation and with account of many-electron correlations. The latter effects are included via the random phase approximation with exchange, proving to be important in all dipole, monopole, and quadrupole channels as well as in all the domains of the transferred energies and momenta considered. Particularly important are the many-electron correlations at high q values, where new additional purely correlational maxima and minima appear. These results, particularly the maxima and minima are expected to stimulate experimental activity in this domain of atomic physics.