Decay of the double–K-shell-vacancy state in silver atoms created in the decay ofCd109

A pair of germanium detectors and a three-parameter analyzer were applied in an experimental study of the creation and of the decay of atomic states with a double K-shell vacancy, created in the decay of ${}_{}{}^{109}{}_{}{}^{}\mathrm{Cd}$. Assuming a variable intensity ratio of the K${\alpha }_1$ and K${\alpha }_2$ hypersatellite lines, their shift with respect to the diagram lines, ${\Delta }_{K\alpha }^h$=546±20 eV, and the shift of the Kα satellite lines with an initial L-shell vacancy, ${\Delta }_{K\alpha }^s$($L^{\mathrm{-}1}$)=54±6 eV, were obtained. The former result is in agreement with the previous experimental result of van Eijk et al. and with the theoretical result of Chen et al., but the latter result is significantly lower than the theoretical value of 73 eV. For the I(K${\alpha }_1$ ${}^h$)/I(K${\alpha }^h$) intensity ratio, a value of 0.54±0.11 was obtained. From the numbers of counts in the hypersatellite-satellite peaks the intensity ratios of the hypersatellite lines I(K${\beta }_{1\mathcal{’}}$ ${}^h$)/I(K${\alpha }^h$)=0.195 ±0.016, and I(K${\beta }_{2\mathcal{’}}$ ${}^h$)/I(K${\alpha }^h$)=0.055 ±0.008 were obtained. The former value seems to be larger than the theoretical value 0.168, while the latter value is significantly larger than the theoretical value 0.029. Also the I(K${\beta }_{1\mathcal{’}}$ ${}^s$)/I(K${\alpha }^s$) and I(K${\beta }_{2\mathcal{’}}$ ${}^s$)/I(K${\alpha }^s$) intensity ratios of the satellite lines for the L-, M-, and N-shell initial spectator vacancies were derived. Within the errors the results are in agreement with the corresponding values for the diagram lines. The probability of creation of double K-shell vacancies per ${}_{}{}^{109}{}_{}{}^{}\mathrm{Cd}$ decay was determined to be (6.07±1.12)×${10}^{\mathrm{-}5}$, in accord with the result (6.25±0.54)×${10}^{\mathrm{-}5}$ of van Eijk et al.