Random interactions in nuclei and extension of 0+ dominance in ground states to irreps of group symmetries

الأصل · EN

Random one plus two-body hamiltonians invariant with respect to O(N₁) ⊕ O(N₂) symmetry in the group-subgroup chains U(N) ⊃ U(N₁) ⊕ U(N₂) ⊃ O(N₁) ⊕ O(N₂) and U(N) ⊃ O(N) ⊃ O(N₁) ⊕ O(N₂) chains of a variety of interacting boson models are used to investigate the probability of occurrence of a given (ω₁ ω₂) irreducible representation (irrep) to be the ground state in even-even nuclei; [ω₁] and [ω₂] are symmetric irreps of O(N₁) and O(N₂) respectively. Numerical results obtained for N₁ ≥ 3, N₂=1 and N₁, N₂ ≥ 3 situations are well explained by an extended Hartree-Bose mean-field analysis.