Nonstatistical Ratios of Photoionization Cross Sections for States Split by Spin-Orbit Coupling

Abstract

From photoelectron spectroscopic studies at 584 \AA{}, the $^{2}D_{\frac{5}{2}}:^{2}D_{\frac{3}{2}}$ intensity ratios of Zn, Cd, and Hg have been determined, and the latter two were found to be significantly larger than the statistical value $\frac{(l+1)}{l}$. Earlier experiments on Ar, Kr, and Xe have yielded $^{2}P_{\frac{3}{2}}:^{2}P_{\frac{1}{2}}$ ratios smaller than statistical. We present Dirac-Slater calculations of the partial photoionization cross sections for the $J=l\ifmmode\pm\else\textpm\fi{}\frac{1}{2}$ components of an atomic orbital which show that the ratio is larger or smaller than the statistical value depending on whether the partial cross sections are rising or falling.