Abstract
Einsteinium-253 nuclei were oriented at low temperatures in a neodymium ethylsulfate lattice. From the temperature-dependent $\ensuremath{\alpha}$-particle angular distribution a nuclear magnetic moment $|\ensuremath{\mu}|=(2.7\ifmmode\pm\else\textpm\fi{}1.3){\ensuremath{\mu}}_{N}$ was deduced. From the values for the angular distribution function at the lowest temperatures it was possible to test the predictions of the Mang shell-model theory for the relative phases and amplitudes of the $\ensuremath{\alpha}$-partial waves. As predicted, the waves of angular momentum $L=0 \mathrm{and} 2$ are in phase, and the $L=0 \mathrm{and} 4$ waves are out of phase. The predicted wave amplitudes are in error, especially that of the $L=4$ wave. The predicted relative intensities (which are proportional to the amplitudes squared) for the $S$, $D$, and $G$ waves are 1.000:0.179:0.0052, whereas the relative intensities that best fit the experimental angular distribution are 1.000:0.216:0.0078.
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