Optical properties of kelbg-pseudopotential-modelled plasmas

Simulation data on hydrogen-like plasmas, modelled with the Kelbg pseudopotential, are treated within the classical theory of moments. The possibility is analyzed for the model inverse dielectric function to satisfy five convergent sum rules and other exact relations. The sum rules are the power frequency moments of the loss function and the latter are calculated using the hypernetted chain approximation with the Kelbg interaction potential. An approach to the reconstruction of the Nevanlinna parameter function is proposed and successfully tested against the simulation data. Conclusions on the applicability of the Kelbg potential are drawn and a model is put forward to define the Coulomb dielectric function with the space dispersion taken into account.