Detailed Description of Mixed Symmetry States in ⁹⁴ Mo Using Interacting Boson Model

Abstract

We have investigated the low-lying collective states and electromagnetic transitions in 94Mo within the framework of the interacting boson model. The influence of model parameters on the energy levels and electromagnetic properties has been investigated. The analysis of the obtained results and the parameter values predict that the state is the lowest mixed symmetry state with pure F = Fmax- 1 in this nucleus. The calculated results predicate that the (two-Q-phonon) mixed symmetry state is closed to the J=2+ at 2.870 MeV in the experimental data, and the 2.965 MeV state is the lowest mixed symmetry with J=3+.

Description of the Structural Properties of Low-Lying States in 102 Ru with IBM2

“…Although the calculated 8 + 1 excitation energy is slightly higher than the experimental one, which is a general feature of this model. [32] The experimental structure of the 𝛾 band, where the very weakly staggering, observed as 2 + 2 , (3 + 1 , 4 + 2 ) and (5 + 1 , 6 + 2 ), is reproduced very well, even the state up to 3 MeV, as well as the state 7 + 1 (at 3034 keV) fit the experimental data accurately. However, the staggering is somewhat enhanced in the calculated levels in 102 Ru, in which the relative spacing between the calculated 3 + 1 and 4 + 2 levels is slightly smaller than the experimental one, although the trend of the staggering occurrence as (5 + 1 , 6 + 2 ) is almost completely removed.…”

Shape coexistence in 76Se within the neutron–proton interacting boson model

“…The IBM-1 has U(6) symmetry group [42]. By differentiating neutron bosons from proton bosons, the IBM-1 is extended to proton-neutron interacting boson model or IBM-2 [43][44][45][46][47]. The IBM-2 possesses a much richer phase structure and demonstrates a more predictive power in dealing with nuclear experimental data.…”

A unified description of shape coexistence and mixed-symmetry states in 98Mo using IBM-2

“…The IBM-2, which makes a distinction between neutrons and protons, predicts the existence of MS states, which are not completely symmetric under the exchange of the neutronproton bosons [38,39]. The totally symmetric states under this exchange are called full symmetry (FS) states.…”