Magnetic moments of $T=3/2$ mirror pairs

We predict values of the magnetic moments of $T=3/2$ proton-rich $\mathit{fp}$-shell nuclei in the mass range $A=43$–$53$, by using known values for their neutron-rich mirrors together with shell-model estimates for small quantities. We extend the analysis to those $T=3/2$ $\mathit{sd}$-shell mirror pairs for which both the $T_z=-3/2$ and $T_z=+3/2$ magnetic moments have been measured. We find that these obey the same linear relation as previously deduced for $T=1/2$ mirror pairs.

Figure 1

${\gamma }_p+\Delta {\gamma }_p$ versus ${\gamma }_n+\Delta {\gamma }_n$. The line is the result of fit (B) in Ref. [8]. The single-particle model using free-nucleon values for the coupling constants model is shown by the dashed line.