Abstract
It is established that the set of solutions of the Hamiltonian of the generalized Elliott SU(3) model in the space of A-fermion wave functions contains a subset of multicluster solutions Ψ AΔ which can be precisely represented in terms of solutions of the Hamiltonian of the same form acting in the reduced space of certain intercluster coordinates. The conditions imposed on a multicluster partition which exhibits such properties are determined by applying the group-theory methods.
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Tchuvil’sky, Y.M. Symmetry of nuclear Hamiltonian as an origin of clustering. Phys. Atom. Nuclei 74, 1740–1746 (2011). https://doi.org/10.1134/S1063778811060305
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DOI: https://doi.org/10.1134/S1063778811060305