Hyperfine Structure ofLu176mby the Method of Atomic Beams

Abstract

The hyperfine structure interaction constants of 3.7-h ${\mathrm{Lu}}^{176m}$ in the ${}_{}{}^2{}_{}{}^{}D_{\frac{3}{2}}^{}{}_{}{}^{}$ and ${}_{}{}^2{}_{}{}^{}D_{\frac{5}{2}}^{}{}_{}{}^{}$ electronic states have been measured using the atomic beam magnetic resonance technique. The nuclear spin was found to be 1. After correcting for the mutual perturbations between the two electronic states, we obtain for the ${}_{}{}^2{}_{}{}^{}D_{\frac{3}{2}}^{}{}_{}{}^{}$ state, $A=97\mathrm{}196440\left(300\right)\mathrm{}$ cps and $B=-635\mathrm{}193140\left(700\right)\mathrm{}$ cps, while for the ${}_{}{}^2{}_{}{}^{}D_{\frac{5}{2}}^{}{}_{}{}^{}$ state, $A=73\mathrm{}172850\left(300\right)\mathrm{}$ cps and $B=-781\mathrm{}974690\left(700\right)\mathrm{}$ cps. These lead to values of $\mu =0.318\mathrm{}\left(3\right)\mathrm{}$ nm and $Q=-2.39\mathrm{}\left(4\right)\mathrm{}$ b for the nuclear moments. The values of $g_j$ are 0.79931(5) for the ${}_{}{}^2{}_{}{}^{}D_{\frac{3}{2}}^{}{}_{}{}^{}$, and 1.20040(16) for the ${}_{}{}^2{}_{}{}^{}D_{\frac{5}{2}}^{}{}_{}{}^{}$ state. Comparing the ratio $A_{\frac{5}{2}}{A}_{\frac{3}{2}}$ in ${\mathrm{Lu}}^{175}$ and in ${\mathrm{Lu}}^{176m}$, one finds a difference in the hyperfine structure anomalies. The ratio $B_{\frac{5}{2}}{B}_{\frac{3}{2}}$ is the same for the two isotopes within the precision of the presently available data in ${\mathrm{Lu}}^{175}$.