Collectivity and geometry. I. General approach

摘要: In the last decade an extensive literature appeared in which microscopic collective behavior of nuclei was associated with definite irreducible representations (irreps) either O(n) or Sp(6) groups, where n=A−1 and A is number nucleons. It became clear that two approaches are equivalent, as problems 3n degrees freedom characterized by a irrep group Sp(6n) for its subgroup Sp(6)×O(n) determines vice versa. Thus one can consider effects appear when introduces constraint many‐body system states restricted to [and thus also Sp(6)] Hamiltonians enveloping algebra rather than Sp(6n). Once becomes paramount motions, problem determine matrix elements generators basis irreps subgroups. What subgroups choose? Rowe Rosensteel...