Quadrupole and monopole transition properties of 0⁺₂in Gd isotopes

Abstract

The longstanding problem of characterization of the 0 + 2 states in Gd isotopes is revisited by adopting the Nilsson+BCS mean field and the random-phase approximation. The interband electric quadrupole transition strengths varying almost two orders of magnitude are nicely reproduced at the same time as other observables. These results indicate that the 0 + 2 states, in particular, those in lighter isotopes are well described as β vibrations excited on top of deformed ground states without recourse to the shape-coexistence picture.Subject index D12, D13

Quantal rotation and its coupling to intrinsic motion in nuclei

“…• At γ = 20 • which is supported by the TRS calculation, the γ-dependence of the irrotational moments of inertia, which are commonly assumed in the rotor model, produce J y > J x > J z . This contradicts the basic assumption of J x > J y > J z and the formula (37).…”

“…• According to equation (37), the wobbling frequency ω wob increases as a function of I. Conversely, the observed frequency decreases.…”

“…Therefore, their true nature is still mysterious and currently under debate [36]. We should note that an important role of the Coriolis coupling in the β vibrations has recently been pointed out [37]. See also figure 2 in section 5.1.…”

“…In reference [84] it was considered as the axially symmetric limit of the RPA wobbling formalism [71] discussed in section 7.2. In fact, the wobbling frequency in equation (37) becomes ω wob = I/J ⊥ − ω rot , where the perpendicular moment of inertia is denoted as J ⊥ ≡ J y = J z in the axially symmetric limit and the rotational frequency about the main rotation axis is ω rot = I/J (1) x . Here, the dynamic moment of inertia (J x → 0) Figure 11.…”

“…The LO relation (Left) Calculated and experimental B(E2; 0 + β → 2 + g ) values in Gd isotopes. Adapted from reference [37]. (Right) B(E2; 0 + g → 2 + β ) values in Gd isotopes.…”