The effect of the Pauli exclusion principle on the relative motion of colliding light neutron-rich nuclei is investigated within a microscopic method for the examples of the Be-11 + n and Be-10 + (2)n, reactions. The effective interaction of nuclei that is due to the change in the kinetic energy of their relative motion under the effect of the antisymmetrization operator is analyze on the basis of a discrete representation of harmonic-oscillator states allowed by the Pauli exclusion principle. It is Concluded that the bound state of the 12 Be nucleus owes its origin to the impact of exchange effects on the operator of the kinetic energy of the relative motion of the neutron and the Be-11 nucleus. The structure of the Be-12 ground state is discussed in the approximation of two coupled cluster configurations. The cross section for the inelastic-scattering reaction Be-11(n, (2)n)Be-10 is estimated.
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