Figure 1

The low-lying spectra of ${}^{44}\mathrm{Ca}$ and ${}^{46}\mathrm{Ca}$ calculated by using both the SM basis and pair approximations. (top) ${}^{44}\mathrm{Ca}$; (bottom) ${}^{46}\mathrm{Ca}$. Notations SM, BP, $\mathit{SD}$, and so on, are the same as in Table .Reuse & Permissions

Figure 2

$E2$ transition rates (in units of W.u.) between low-lying states for (a–c) ${}^{44}\mathrm{Ca}$ and (a${}^{\prime }$–c${}^{\prime }$) ${}^{46}\mathrm{Ca}$. Results of the SM, BP, $\mathit{SD}$, $\mathit{SDG}$, $\mathit{SDI}$, and $\mathit{SDGI}$ calculations are denoted by solid squares, open circles, solid triangles, open stars, solid circles, and open pentagons, respectively. The effective charge of valence neutrons is taken to be $0.5e$, as in Ref. [12]. Panels (a) and (a${}^{\prime }$) present $B$[$E2$, $I\to (I-2)$] vs $I$ for the yrast states with $I=2$, 4, 6, 8. Panels (b) and (b${}^{\prime }$) present $B$[$E2$, $I\to (I-2)$] vs $I$, with the initial states being $2_2^{+}$, $4_2^{+}$, $6_2^{+}$, $8_2^{+}$, and ${10}_2^{+}$ states and final states being the yrast $I=0,$ 2, 4, 6, 8. Panels (c) and (c${}^{\prime }$) present $B$[$E2$, $I\to (I-1)$] vs $I$, with initial states being $3_1^{+}$, $5_1^{+}$, $7_1^{+}$, and $9_1^{+}$ states and final states being $2_2^{+}$, $4_2^{+}$, $6_2^{+}$, and $8_2^{+}$ states.Reuse & Permissions

Figure 3

Calculated low-lying states of ${}^{43}\mathrm{Ca}$ and ${}^{45}\mathrm{Ca}$. (top) ${}^{43}\mathrm{Ca}$; (bottom) ${}^{45}\mathrm{Ca}$. Notation is the same as in Table .Reuse & Permissions

Figure 4

$B$($E2$) values (in units of W.u.) for low-lying states of ${}^{43}\mathrm{Ca}$ and ${}^{45}\mathrm{Ca}$. In panels (a) and (a${}^{\prime }$), we plot $B$[$E2$, $I_1^{+}\to (I-2){}_1^{+}$] (i.e., between yrast states) vs $I$, and in (b) and (b${}^{\prime }$), we plot $B$[$E2$, $I_2^{+}\to (I-2){}_1^{+}$] (i.e., $E2$ transition rates from the second lowest $I$ states to the first $I$ states) vs $I$. Notations ${\mathit{SDf}}_{7/2}$, ${\mathit{SDGf}}_{7/2}$, ${\mathit{SDIf}}_{7/2}$, ${\mathit{SDIf}}_{7/2}$, and SM are the same as in Table . The effective charge of valence neutrons is taken to be $0.5e$.Reuse & Permissions