Table of electronic factors for E0 electron and electron-positron pair conversion transitions

TL;DR

This paper provides new tabulations of electronic factors for electron and electron-positron pair conversion transitions across a wide range of elements and energies, using relativistic calculations and models, with comparisons to previous data.

Contribution

It introduces updated electronic factor tables for a broad set of elements and energies, employing relativistic-Hartree-Fock-Slater and Wilkinson models, and compares them with prior tabulations.

Findings

Electronic factors calculated for elements Z=5 to 126.

Comparison shows good agreement with previous data.

Provides practical examples for extracting E0 strengths.

Abstract

A new tabulation of electronic factors is reported for electron conversion for elements of Z from 5 to 126 and electronic factors for electron-positron pair conversion for elements of even Z from 4 to 100. The electronic factors for electron conversion, ${\Omega}_{CE}$(E0), were calculated using a modified version of the CATAR program developed by Pauli and Raff with a relativistic-Hartree-Fock-Slater approach (Pauli and Raff, 1975). The electronic factors for electron-positron pair conversion, ${\Omega}_{IPF}$(E0), were calculated using the model developed by Wilkinson (1969). The data tables presented here cover all atomic shells up to R2 and transition energies from 1 keV to 6000 keV and from 1100 keV to 8000 keV for pair conversion. A comparison with previous electronic factor tabulations is presented. Ratios of experimental {\Omega}(E0) values for 83 E0 transitions in 8$\leq$Z$\leq$98 are compared to this tabulation. Two examples of how to use the tabulation to extract E0 strengths are also included.