Figure 1

The $E2$ transition schemes with ${\mathcal{J}}^{\mathrm{rig}}$ and the $B(E2){}_{\mathrm{out}}$ values estimated from “$\Delta n=0$” and “$G_{m\hspace{0.17em}n\hspace{0.17em}m\hspace{0.17em}n}=1$” approximation. The left panel is for $\left|\Delta I\right|=1$, and the right panel is for $\left|\Delta I\right|=0$ and 2 interband $E2$ transitions. In each panel, the quantum numbers assigned to each band ($n_{\alpha },n_{\beta }$) are shown underneath the typical band levels of $I$ or $I-1$. The energy scale in the vertical direction is arbitrary, but the energy differences are proportional to the exact results obtained from the total Hamiltonian. The $B(E2){}_{\mathrm{out}}$ values without a common factor $5e^2/(16\pi )$ are given beside the lines of allowed transitions. According to their strength, the transitions are classified by strong (thick solid), less strong (thick dashed), weak (thin solid) and weaker (thin dashed) lines. Further details are in the text.Reuse & Permissions

Figure 2

The $M1$ transition schemes with ${\mathcal{J}}^{\mathrm{rig}}$ and the $B(M1){}_{\mathrm{out}}$ values estimated from “$\Delta n=0$” and “$G_{m\hspace{0.17em}n\hspace{0.17em}m\hspace{0.17em}n}=1$” approximation. The left panel is for $\left|\Delta I\right|=1$, and the right panel is for $\Delta I=0$ interband $M1$ transitions. The definition of symbols and the energy scale are the same as in Fig. 1. The $B(M1){}_{\mathrm{out}}$ values without a common factor $3({\mu }_N{g}_{\mathrm{eff}}){}^2/(16\pi )$ are shown beside the lines of allowed transitions. The transitions are classified with the same kinds of lines as in Fig. 1. Further details are in the text.Reuse & Permissions

Figure 3

The $E2$ transition schemes with ${\mathcal{J}}^{\mathrm{hyd}}$ and the $B(E2){}_{\mathrm{out}}$ values estimated from “$\Delta n=0$” and “$G_{m\hspace{0.17em}n\hspace{0.17em}m\hspace{0.17em}n}=1$” approximation. The left panel is for $\left|\Delta I\right|=1$, and the right panel is for $\left|\Delta I\right|=0$ and 2 interband $E2$ transitions. The definition of symbols is the same as employed in Fig. 1. The energy scale in the vertical direction is arbitrary, but the energy differences are proportional to the exact results obtained from the total Hamiltonian. According to the strength, the transitions are classified by strong (thick solid), less strong (thick dashed), weak (thin dashed), weaker (dot-dashed) and weakest (double-dot-dashed) lines. Special transitions independent of the factor $1/I$ are indicated by strong (double solid) and less strong (double dashed) lines. Further details are in the text.Reuse & Permissions

Figure 4

The $M1$ transition schemes with ${\mathcal{J}}^{\mathrm{hyd}}$ and the $B(M1){}_{\mathrm{out}}$ values estimated from “$\Delta n=0$” and “$G_{m\hspace{0.17em}n\hspace{0.17em}m\hspace{0.17em}n}=1$” approximation. The left panel is for $\left|\Delta I\right|=1$, and the right panel is for $\Delta I=0$ interband $M1$ transitions. The definition of symbols and the energy scale are the same as in Fig. 3. The $B(M1){}_{\mathrm{out}}$ values without a common factor $3({\mu }_N{g}_{\mathrm{eff}}){}^2/(16\pi )$ are shown beside the lines of allowed transitions. According to their strength, the transition are classified by strong (thick solid), less strong (dot-dashed), weak (double-dot-dashed), weaker (thin solid) and weakest (thin dashed) lines. A special transition independent of the factor $1/I$ and non-diagonal element of $G$ is indicated by double solid lines. Further details are in the text.Reuse & Permissions

Figure 5

The comparison between the experimental and the theoretical energy levels, $E^{*}-\mathit{aI}(I+1)$ as functions of angular momentum $I$ for ${}^{163}$Lu. The vertical axis is in unit of MeV. For the positive parity bands, filled squares connected with solid lines indicate theoretical values, while filled triangles connected with dashed lines indicate experimental values. The stars connected with solid lines indicate the previous results with constant moments of inertia in I. For the negative parity band, open diamonds connected with solid lines indicate theoretical values, while open triangles connected with dashed lines indicate experimental values. The experimental data are from Refs. [2, 3].Reuse & Permissions

Figure 6

The comparison between the experimental and the theoretical energy levels, $E^{*}-\mathit{aI}(I+1)$ as functions of angular momentum $I$ for ${}^{165}$Lu. The vertical axis is in unit of MeV. The meanings of the curves are as defined in Fig. 5. The experimental data are from Ref. [4].Reuse & Permissions

Figure 7

The comparison between the experimental and the theoretical energy levels, $E^{*}-\mathit{aI}(I+1)$ as functions of angular momentum $I$ for ${}^{167}$Lu. The vertical axis is in unit of MeV. The meanings of the curves are as defined in Fig. 5. The experimental data are from Ref. [5].Reuse & Permissions

Figure 8

The comparison between the experimental and the theoretical energy levels, $E^{*}-\mathit{aI}(I+1)$ as functions of angular momentum $I$ for ${}^{161}$Lu. The vertical axis is in unit of MeV. The meanings of the curves are as defined in Fig. 5. The experimental data are from Ref. [10].Reuse & Permissions