The survey of cluster models used at the same time for the description of the properties of the light, medium and heavy nuclei was carried out. It was shown that a-cluster model describes different characteristics of light nuclei. On the basis of the multiple diffraction scattering theory and the a-cluster model with dispersion the approach for description of the observables for elastic scattering of particles and light nuclei by light a-cluster nuclei was considered. The calculated on the basis of this approach differential cross-sections and polarization observables for elastic scattering of particles and light nuclei by light a-cluster nuclei were presented. These results testified that a-cluster model allows us to explain different experimental data for the scattering of intermediate energy particles by nuclei.

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