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

V. K. B. Kota
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Abstract

Random one plus two-body hamiltonians invariant with respect to $O({\cal N}_1) \oplus O({\cal N}_2)$ symmetry in the group-subgroup chains $U({\cal N}) \supset U({\cal N}_1) \oplus U({\cal N}_2) \supset O({\cal N}_1) \oplus O({\cal N}_2)$ and $U({\cal N}) \supset O({\cal N}) \supset O({\cal N}_1) \oplus O({\cal N}_2)$ chains of a variety of interacting boson models are used to investigate the probability of occurrence of a given $(ω_1 ω_2)$ irreducible representation (irrep) to be the ground state in even-even nuclei; $[ω_1]$ and $[ω_2]$ are symmetric irreps of $O({\cal N}_1)$ and $O({\cal N}_2)$ respectively. Numerical results obtained for ${\cal N}_1 \geq 3, {\cal N}_2=1$ and ${\cal N}_1, {\cal N}_2 \geq 3$ situations are well explained by an extended Hartree-Bose mean-field analysis.

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V. K. B. Kota. 2004-01-20. Random interactions in nuclei and extension of $0^+$ dominance in ground states to irreps of group symmetries. https://arxiv.org/abs/nucl-th/0401038

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