Pseudo-Potentials in Dense and He-like Hot temperature Plasmas

Extending our former derivations in dense and high temperature plasmas of hydrogenic effective interactions mimiking the Heisenberg uncertainty principle [1,2], we worked out in a canonical ensemble, effective interactions in He-like plasmas where an orbital 1s electron remains strongly tighted to the He-like ions. The plasma electrons are then taken into account through appropriate Slater sums obtained in the most economical hydrogenic extension of the He-like bound and scattered states with angular orbital momentum l$<$3. Ground states are described by a multi-parametric HF approximation [3]. We thus obtain Diffraction-corrected electron-ion pseudo-potentials taking into account of a polarizable and nonpointlike ion core. Very large enhancements and discrepancies are obtained when they are contrasted to their H-like homologs with ion charge Z=2,10 and 92. These results are of obvious significance for He-like warm dense matter plasmas.Ionization is also considered.\\[4pt] [1] C. Deutsch, Phys. Lett. A60, 317 (1977)\\[4pt] [2] C. Deutsch, Y. Furutani and M.M. Gombert, Phys. Rep. 69,86 (1981)\\[0pt] [3] E. Clementi and C. Roetti, Atomic Data and Nucl. Data Tables, 14,177(1974)