Relativistic and many-body effects in K, L, and M shell ionization energy for elements with 10≤Z≤100 and the determination of the 1s Lamb shift for heavy elements

We report on a calculation of K, L and M inner-shell ionization energy in atoms with atomic numbers in the range 10 less than or equal to Z less than or equal to 100. Many-body effects are evaluated for all n = 1, 2, and 3 hole states. Those include correlation and effects due to the auto-ionizing nature of the hole states (Auger shift). For high Z we add recent corrected nuclear polarization, and several, second-order vacuum polarization corrections. K and L ionization energies are compared with experimental X-ray absorption edges measurements. Excellent agreement with rare gazes and metal vapor measurements is found. We also compare our calculations with X-ray transition energies for all K and L lines that involve K, L and M holes. Finally we use K X-ray lines to deduce an hydrogenlike Is Lamb shift for several heavy elements, with far better accuracy than has been obtained by direct measurements of hydrogenlike ions.