SCREENING PARAMETERS FOR THE RELATIVISTIC HYDROGENIC MODEL

HÉCTOR O. DI ROCCO; FERNANDO LANZINI

High Density Energy Physics

Elsevier

Año: 2015 vol. 17 p. 240 - 247

1574-1818

The Screened Hydrogenic Model (SHM) is one of the atomic models commonly used in plasma physics, especially in the high energy density range. However, for low-ionization degrees, the radial hydrogenic wavefunctions of the valence electrons are very different from those arising from Hartree-Fock (HF) calculations. In this work we used the time-honored concepts of screening and quantum defects to calculate the atomic structure and spectra of not very highly ionized atoms. We showed that, although for neutral and few ionized atoms the Screened Hydrogenic radial wave functions are far from the HF values, the combined use of the screening and the quantum defect parameters produces better calculations of the dipolar moments; in the worst of the cases, the discrepancy is of the order of 100% (ArI,NI) whereas for others it can be of the order of 7-8% (KrI). The general conclusion is that we can use with some confidence the screening parameters for the calculation of energy levels and the quantum defects for the calculation of dipolar moments.Keywords: Screened hydrogenic model, quantum defects, dipolar moments.