The $i_{\frac{13}{2}}$ proton intruder orbital in the superdeformed ${}_{}{}^{193}{}_{}{}^{}\mathrm{Tl}$ nucleus: Effective magnetic moment and blocking of proton pairing

From the observed competition between $M1\mathrm{}$ and $E2\mathrm{}$ $\gamma$ transitions deexciting the states of the two signature partner yrast superdeformed bands in ${}_{}{}^{193}{}_{}{}^{}\mathrm{Tl}$, the $i_{\frac{13}{2}}$ ($\Omega =\frac{5}{2}$) intruder proton orbital is found to have $\frac{(g_K-g_R)K}{Q_0}=0.138\mathrm{}\pm 0.008$. A model dependent value of $g_s^{\mathrm{eff}}=(0.7\mathrm{}\pm 0.2)g_s^{\mathrm{free}}$ is deduced. A saturation of the ${\mathcal{T}}^2$ moments of inertia, at rotational frequency $\hslash \omega >0.32\mathrm{}$ MeV, is observed for the two bands. This feature is discussed in terms of exhausted quasineutron alignment in the presence of substantially reduced quasiproton alignment due to Pauli blocking.