The main theses of the discrete representation of the Pauli-allowed states are given. Using this representation, the influence of the Pauli principle in collisions between light atomic nuclei is studied within the resonating-group method. The Fock-Bargmann representation provides us with the simplest means of analysis of dynamical phenomena accompanying collision processes. As the main examples of a real and non-trivial application of our approach, the ⁶He + ⁶He and the ⁸He + ⁴He nuclear systems are examined. The cross-sections of inelastic scattering channels belonging to the excitation of the clusters or to their rearrangement are estimated.

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