Figure 1

Experimental (symbols) and calculated (lines) kinematic moments of inertia in ${}^{72,74,76}\mathrm{Kr}$. The results of the CRHB+LN calculations for the yrast configurations in the near-prolate and the near-oblate (only at low ω) minima are shown. In addition, the results of the CRMF calculations for the lowest configuration in the prolate minimum are displayed. Bands A, B, and C in ${}^{72}\mathrm{Kr}$ are shown by solid circles, open circles and solid squares, respectively. The $J^{(1)}$ value corresponding to the linking transition between bands A and B with energy 1588 keV is included in the curve of band A to visualize the backbending. The experimental data are taken from Refs. 57 (${}^{72}\mathrm{Kr}$), [58] (${}^{74}\mathrm{Kr}$), and [59] (${}^{76}\mathrm{Kr}$). Solid and long-dashed lines are used for the CRHB+LN results in near-prolate and near-oblate minima, respectively. The CRMF results for unpaired analogs of the S-bands are shown by dot-dashed lines.Reuse & Permissions

Figure 2

Deformation properties of the ground-state band in ${}^{74}\mathrm{Kr}$. Experimental data are taken from Ref. 60. The results of the CRHB+LN and CRMF (for the [2, 4] configuration) calculations are shown by solid and dashed lines, respectively.Reuse & Permissions

Figure 3

Excitation energies of the experimental bands 1–6 in ${}^{74}\mathrm{Kr}$ and the configurations [2, 4] (A), [3, 4] (B and C), [3, 3] (F), and [4, 4] (E) calculated in the CNS approach relative to a rigid rotor reference $E_{\mathrm{RLD}}=0.02478I(I+1)\hspace{1em}\mathrm{MeV}$. Experimental data are taken from Refs. 61, 58. Note that the lowest state in band 6 is placed at an arbitrary excitation energy of $E_{\mathrm{exc}}=4.9\hspace{1em}\hspace{1em}\mathrm{MeV}$ and its spin is set to $I^{\pi }=8^{+}$. Solid and dashed lines are used for positive and negative parities, respectively. Solid and open symbols are used for signatures $\alpha =+1/2$ and $\alpha =-1/2$, respectively. In panel (b), solid circles, open squares, solid squares, open circles, solid triangles, diamonds are used for bands 1, 2, 3, 4, 5, and 6, respectively.Reuse & Permissions

Figure 4

Dynamic ($J^{(2)}$) and kinematic ($J^{(1)}$) moments of inertia of observed bands in ${}^{74}\mathrm{Kr}$ and corresponding calculated configurations. The results of the CNS and CRMF calculations are shown by different lines: the line that is lowest at medium frequency corresponds to $J^{(2)}$, whereas the highest one corresponds to $J^{(1)}$. Experimental data are taken from Refs. 61, 58.Reuse & Permissions

Figure 5

Effective alignments $i_{\mathrm{eff}}$ (in units $\hslash$) of pairs of bands. The experimental values (solid circles) are compared with the ones calculated from the configurations assigned to the bands. The experimental effective alignment between bands A and B is indicated as “A/B.” The band A in the lighter nucleus is taken as a reference so the effective alignment measures the effect of additional particle(s)/hole(s). To guide the eye, the solid circles are linked by dotted lines in a few cases. The compared configurations differ by the occupation of the orbitals indicated on the panels. The sign of signature α of the orbital is given in parentheses behind the orbital label. $3_i$ refers to the i-th low-j $N=3$ orbital, whereas superscript −1 indicates the hole in a given orbital. Solid and long-dashed lines are used for the effective alignments obtained in the CRMF and CNS calculations, respectively.Reuse & Permissions

Figure 6

(a) Kinematic (solid symbols) and dynamic (open linked symbols) moments of inertia of branch A in ${}^{78}\mathrm{Sr}$ compared with the CRHB+LN results. Calculated $J^{(1)}$ and $J^{(2)}$ (only up to backbending) values are shown by solid and dashed lines, respectively. (b) The same as in panel (a) but for the branch B. The CRHB+LN, CRMF, and CNS results for $J^{(1)}$ are shown by solid, long-dashed, and dot-dashed lines, respectively. (c) Excitation energies of the $(\pi =+,\alpha =0)$ structures (unlinked symbols) compared with the results of the CRHB+LN calculations (solid lines). They are given with respect to the rigid rotor reference. (d) The CNS results for the yrast and near-yrast collective and noncollective structures with $(\pi =+,\alpha =0)$ shown in the same way as in panel (c). The yrast line is indicated by a dotted line.Reuse & Permissions

Figure 7

(a) Excitation energies of the configurations forming the yrast line relative to a rigid rotor reference $E_{\mathrm{RLD}}=0.02853I(I+1)\hspace{1em}\mathrm{MeV}$. The calculated terminating (aligned) states are encircled. Only the yrast $(\pi =+,\alpha =0)$ configurations are shown for $I\hspace{1em}\le \hspace{1em}10\hslash$. Different symbols are used for different types of configurations: stars, [0, 0]; diamonds, [1, 1]; squares [2,1]; circles [2, 2]; triangles down, [3,2]; and triangles up [21,2]. The configuration [2, 2], assigned to observed rotational sequences B and C, is shown by a thick line. (b) The same as panel (a) but for experimental bands shown by unlinked symbols and assigned configurations shown by lines with symbols. Squares and circles are used for rotational sequences C and A/B, respectively. The data are taken from Ref. 57.Reuse & Permissions

Figure 8

The calculated (CNS) shape trajectory of the [2, 2] configuration in ${}^{68}\mathrm{Se}$. The angular momentum changes in steps of $2\hslash$ in the indicated spin range.Reuse & Permissions

Figure 9

Kinematic moments of inertia (panels a and c), aligned angular momentum (panel b), and dynamic moments of inertia (panel d) in ${}^{68}\mathrm{Se}$ as functions of rotational frequency. The data from Ref. 57 are compared with the results of CRHB+LN (in prolate and oblate minima), CRMF (only in the minimum with positive γ), and CNS calculations. The CRHB+LN results in the oblate minimum (panel c) are shown only up to the frequency of the band crossing ($\omega =0.91\hspace{1em}\mathrm{MeV}$).Reuse & Permissions

Figure 10

Calculated yrast and near-yrast collective configurations with $\pi =+,\alpha =0$ versus observed bands A and B in ${}^{72}\mathrm{Kr}$. The excitation energies are given relative to a rigid rotor reference $E_{\mathrm{RLD}}=0.02594I(I+1)\hspace{1em}\mathrm{MeV}$. The experimental data are taken from Ref. 57.Reuse & Permissions

Figure 11

Transition quadrupole moments $Q_t$ [panel (a)] and γ-deformations [panel (b)] of the calculated configurations in ${}^{72}\mathrm{Kr}$. The results of the CRMF calculations are shown by lines with open symbols, whereas the CRHB+LN results are shown by thick solid lines. Squares, triangles, and circles are used for the [2, 2], [3, 3]a, and [3, 3]b configurations, respectively. The experimental data are taken from Refs. 77, 57.Reuse & Permissions

Figure 12

(a) Excitation energies of the ground-state band in ${}^{76}\mathrm{Sr}$ (circles) compared with the CRHB+LN (solid lines) and the CRMF (dot-dashed line) calculations. The energies are given with respect to the rigid rotor reference $E_{\mathrm{RLD}}=0.0237I(I+1)\hspace{1em}\mathrm{MeV}$. (b) Kinematic (solid symbols) and dynamic (open symbols) moments of inertia of the ground-state band in ${}^{76}\mathrm{Sr}$ compared with the CRHB+LN and CRMF results. Solid and dashed lines are used for kinematic and dynamic moments of inertia obtained in the CRHB+LN calculations. The dot-dashed line shows the kinematic moment of inertia obtained in the CRMF calculations. The experimental data are taken from Ref. 69.Reuse & Permissions

Figure 13

Dynamic moments of inertia of the ground-state bands in ${}^{76,78}\mathrm{Sr}$ (a) and of the one-quasiparticle bands in ${}^{77}\mathrm{Sr}$ (b). The data are taken from Refs. 69, 58, 72. In the bottom panel, solid and open symbols are used for the $\alpha =1/2$ and $\alpha =-1/2$ bands, respectively. Positive and negative parity bands are denoted by the circles and squares, respectively. The vertical long-dashed line indicates the crossing frequency in the ground-state band of ${}^{76}\mathrm{Sr}$.Reuse & Permissions

Figure 14

(a) Excitation energies of the ground-state band in ${}^{80}\mathrm{Zr}$ (unlinked symbols) compared with the results of the CRHB+LN (solid lines) and the CRMF (dashed line) calculations. The energies are given with respect to the rigid rotor reference $E_{\mathrm{RLD}}=0.02176I(I+1)\hspace{1em}\mathrm{MeV}$. The experimental data are taken from Ref. 69. (b) Kinematic (solid symbols) and dynamic (open linked symbols) moments of inertia of the ground-state band in ${}^{80}\mathrm{Zr}$ compared with the CRHB+LN and CRMF results. The dotted line is used for the dynamic moment of inertia of configuration A, whereas other lines are used for the kinematic moments of inertia.Reuse & Permissions

Figure 15

Potential energy surfaces in ${}^{70}\mathrm{Br}$ for spin $I={27}^{+}$. In the left panel only parity ($\pi =+$) and signature ($\alpha =1$) are fixed. Only the [3, 3] configuration is shown in the right panel. The contour line separation is 0.25 MeV. The last equipotential line corresponds to 3.0 MeV excitation with respect to the global minimum. The local minima, the excitation of which with respect to the global minimum does not exceed 1.0 MeV, are shaded.Reuse & Permissions