Figure 1

Fold distributions obtained from the experiment at $E_{\mathrm{beam}}=160\text{MeV}$ are shown to the left. The total projection of the distribution is shown in (a), while triple-γ-ray gated distributions are shown for low-spin structures in ${}^{130-133}\mathrm{Ce}$ (b–e) and for the SD1 band in ${}^{132}\mathrm{Ce}$ in (f). The measured centroid and width of each distribution is shown. Sum-energy distributions obtained from the experiment at $E_{\mathrm{beam}}=160\text{MeV}$ are shown to the right. The total projection of the distribution is shown in (g), while triple-γ-ray gated distributions are shown for low-spin structures in ${}^{130-132}\mathrm{Ce}$ (h–j) and for the SD1 band in ${}^{132}\mathrm{Ce}$ in (k, l). The measured centroid and width of each distribution is shown in MeV.Reuse & Permissions

Figure 2

γ-ray spectra gated by a high $k-H$ condition (a) and a low $k-H$ condition (b). γ rays from ${}^{132}\mathrm{Ce}$ ($4n$: solid circles) and ${}^{133}\mathrm{Ce}$ ($3n$: open circles) are clearly enhanced in the high $k-H$ selection relative to the other exit channels, which include ${}^{131}\mathrm{Ce}$ ($5n$), ${}^{130}\mathrm{Ce}$ ($6n$), ${}^{131}\mathrm{La}$ ($p4n$), and ${}^{128}\mathrm{Ba}$ ($\alpha 4n$).Reuse & Permissions

Figure 3

Double-gated triple-coincidence spectrum generated for SD1 in ${}^{132}\mathrm{Ce}$ showing the topmost transitions. Transition energies are labeled in keV, and the new transitions are marked with an asterisk. The inset shows the intensity profile of the band.Reuse & Permissions

Figure 4

Double-gated triple-coincidence spectra generated for SD2 (a) and SD3 (b) in ${}^{132}\mathrm{Ce}$. Transition energies are labeled in keV, and the new transitions are marked with an asterisk.Reuse & Permissions

Figure 5

The five SD bands in ${}^{131,132}\mathrm{Ce}$ with assumed spin values.Reuse & Permissions

Figure 6

Double-gated triple-coincidence spectra generated for the two SD bands in ${}^{131}\mathrm{Ce}$. Transition energies are labeled in keV, and the new transitions are marked with an asterisk.Reuse & Permissions

Figure 7

Double-gated triple-coincidence spectrum (left) generated for ${}^{131}\mathrm{Ce}$ showing the linking transitions, of energies 1514 and 1523 keV, between the two SD bands, and the depopulating 788-keV transition. A partial level scheme is shown to the right.Reuse & Permissions

Figure 8

Experimental dynamic moments of inertia $\alpha {}^{(2)}$ for the five SD bands in ${}^{131,132}\mathrm{Ce}$ plotted as a function of rotational frequency ω.Reuse & Permissions

Figure 9

The excitation energy relative to a rigid rotor reference as a function of spin for ${}^{132}\mathrm{Ce}$. The superdeformed bands in ${}^{132}\mathrm{Ce}$ are drawn in the lower panel and compared with calculated bands of the type $\pi (g_{9/2}){}^{-2}(h_{11/2}){}^4\nu (i_{13/2}){}^2$ in the upper panel. The calculated bands have different distributions of the 10 $N_{\mathrm{osc}}=5$ neutrons over the orbitals of $h_{11/2}$ and $h_{9/2}/f_{7/2}$ character, where the number of the latter is indicated for the different bands together with their signature if the number is odd. Specific crossings caused by crossings between single-particle orbitals, as illustrated in Fig. 10, are indicated by circles and rectangles. In the case of strong interaction, suggested mixing between “pure” configurations is indicated by dashed lines. The observed SD1 band is drawn with the assumption that the state which is fed by the 771-keV transition has $I^{\pi }={20}^{+}$, but its excitation energy is not known, i.e., only the shapes, but not the absolute values, of the experimental and calculated curves should be compared. The suggested signature degeneracy at low spins for the SD2 and SD3 bands is only tentative.Reuse & Permissions

Figure 10

Neutron single-particle orbitals as functions of rotational frequency ω at a typical deformation around $I=60\hslash$ for the [24,422] and [24,532] configurations in ${}^{132}\mathrm{Ce}$ (${\varepsilon }_2=0.344,{\varepsilon }_4=0.040,\gamma =5.5^{ˆ}$). The orbitals are labeled by their $N_{\mathrm{osc}}$ shells, and the ordering within the $N_{\mathrm{osc}}$ shell is shown a subscript. For the $N_{\mathrm{osc}}=5$ orbitals, the j shells which dominate their wave functions at $\omega =0$ are also indicated. The $N_{\mathrm{osc}}=5$ orbitals are shown by thick dashed lines with solid ($\alpha =1/2$) circles or dot-dashed lines with open ($\alpha =-1/2$) circles, while the even parity orbitals are shown by thin, solid ($\alpha =1/2$) lines or dotted ($\alpha =-1/2$) lines. In the lower panel, the orbitals are drawn as they come out from the diagonalization, while in the upper panel, real crossings have been formed between orbitals which interact and exchange character in a limited spin interval. Crossings that are important for the bands in Fig. 9 are indicated by a circle and a rectangle, respectively.Reuse & Permissions

Figure 11

The excitation energy relative to a rigid rotor reference as a function of spin for the two bands observed in ${}^{131}\mathrm{Ce}$ compared with the calculated bands having the [24,421] and [24,422] configurations, i.e., the two bands differ by a $(N_{\mathrm{osc}}=4){}^{-1}(i_{13/2}){}^1$ neutron excitation. The relative energies between experiment and calculations are not known, but the relative energy between the two observed and calculated bands, respectively, supports the present assignment.Reuse & Permissions