Single Electron Shakeoff Probability Following the Beta Decay of Krypton

In view of the experimental work of A. H. Snell and F. Pleasonton [Phys. Rev. 107, 740 (1957)], which indicates that the product atom following the beta decay of krypton is frequently left in high states of ionization, it is of interest to attempt a calculation of "shakeoff" probabilities for all the outermost occupied configurations. The method of calculation used here essentially follows the formulations of A. Migdal [J. Phys. U.S.S.R. 4, 449 (1941)], E. L. Feinberg [J. Phys. U.S.S.R. 4, 423 (1941)], J. S. Levinger [Phys. Rev. 90, 11 (1953)], H. M. Schwartz [J. Chem. Phys. 21, 45 (1953)], and earlier workers. The details of the calculations are governed to a considerable extent by the availability of ${\mathrm{Rb}}^{+}$ Hartree wave functions. The innovations which are attempted here involve (1) the use of newly determined analytical approximations to Hartree functions, (2) the use of a simple scaling technique, and (3) the extension of the work to the outermost occupied levels. Comparisons of the calculated shakeoff probabilities with those inferred from experiment by Snell and Pleasonton are made. The agreement is fairly satisfactory. It is believed that some of the innovations used here might be useful for other types of atomic calculations.