Internal Conversion Coefficients with Relativistic Hartree-Fock Model for the Deformed Region

Internal conversion coefficients for $E2$ transitions in six cases of the deformed nuclear region are presented. New calculations are based upon the relativistic Hartree-Fock potential in the Slater-exchange approximation with the inclusion of only the static finite-nuclear-size effects. For the 2⁺{→}0⁺ transitions in Gd¹⁵⁶, Dy¹⁶⁰, Er¹⁶⁶, Yb¹⁷⁰, Os¹⁸⁶, and Os¹⁸⁸, a comparison of present calculations with the weighted mean of all experimental values for L₁L₂ indicates that the latter are larger by (6.2±{}3)%, (5.9±{}4.3)%, (8.4±{}4.4)%, (7.3±{}3.9)%, (7.5±{}6.4)%, and (2.8±{}5.6)%, respectively. Corresponding results for L₁L₃ are (5.5±{}1.8)%, (5.5±{}2.5)%, (6.3±{}2.3)%, (5.5±{}2.4)%, (6.6±{}4.6)%, and (4.3±{}4.1)%. The uncertainties assigned to the percentage deviations correspond to an estimate of error at approximately 90% confidence level. Deviations of about the same magnitudes were pointed out by several experimentalists in a comparison with the calculations of Sliv and Band and of Rose. Numerical results are also given for the K subshell and M subshells in the above cases. It is suggested that M-subshell ratios be measured. A comparison of the experimental M-subshell ratios and K-conversion coefficient (within an accuracy of 2% or so) would provide additional information so that the origin of deviations in L-subshell ratios could be pinpointed. A possible explanation may be the effects of nuclear deformation on the L₁ internal conversion coefficient.