Linking partial and quasi dynamical symmetries in rotational nuclei

Abstract

Background: Quasi dynamical symmetries (QDS) and partial dynamical symmetries (PDS) play an important role in the understanding of complex systems. Up to now these symmetry concepts have been considered to be unrelated.

Regularity and chaos in0+states of the interacting boson model using quantum measures

“…In type I PDS part of the states possess all the dynamical symmetry, in type II PDS all the states possess part of the dynamical symmetry, while in type III part of the states possess part of the dynamical symmetry [44]. The linkage between QDS and PDS has been only recently clarified, by proving that coherent mixing of one symmetry (QDS) can lead to partial conservation of a different, incompatible symmetry (PDS) [45]. In Ref.…”

“…In Ref. [45], by using a measure of σ fluctuations in a state Ψ, called ∆σ Ψ , a valley of almost vanishing ∆σ g.s. fluctuations has been found, i.e., a valley where the ground state wave functions have a high degree of purity with respect to the σ quantum number of O(6), providing an example of an O(6) approximate PDS of type III.…”

“…In type I PDS part of the states possess all the dynamical symmetry, in type II PDS all the states possess part of the dynamical symmetry, while in type III part of the states possess part of the dynamical symmetry [44]. The [45]. In Ref.…”

Description of the evolution of mixed-symmetry states in the N = 78 isotonic chain with IBM2

“…For the even-even N = 78 isotones, however, the lowest MSS 2 + ms have been identified in 136 Ce [14], 134 Ba [15,16] and 132 Xe [17]. Meanwhile, 1 + ms states have also been found in 134 Ba [18] and 132 Xe [19]. On the other hand, the first experimental evidence of the E(5) symmetry [20] has been in 134 Ba [21] and possibly in 132 Xe [22] and 136 Ce [23].…”

“…The calculated results of the relevant levels (in MeV) for 132 Xe, 134 Ba and 136 Ce compared with the experimental data. The experimental data are from Refs [14][15][16][17][18][19]…”