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The variants of intercluster interaction potentials were constructed for description of the resonance nature of some phase shifts of the n7Li elastic scattering at low energies and the P2 ground state of 8Li in the n7Li cluster channel. The possibility of describing the total cross sections of 7Li(n,g)8Li in the region from 5 meV (5 10-3 eV) to 1 MeV including resonance at 0.25 MeV was shown with the potentials obtained in the potential cluster model taking into account forbidden states.

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