The application of the diffraction theory of multiple collisions to the scattering of nuclei at high energies is discussed. Using this theory an approximate method is formulated for calculating the scattering cross sections of nuclei in which part of the virtual excitations of the colliding nuclei is taken into account. Unlike the well-known approximation of "rigid" nuclei the proposed approximation is symmetrical with respect to both nuclei participating in the reaction. Numerical calculations of the total cross sections and differential cross sections of elastic scattering showed considerable difference between the results of the "symmetrical" approximation and those obtained by the unsymmetrical approximations of "rigid" nuclei and the Czyz-Maximon approximation, which do not completely take into account the virtual excitations.
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