Screening parameters for the relativistic hydrogenic model

The combined use of screening and quantum defect parameters in the study of ionized atoms

“…However, the s nl are parameters, more than constants; this is mandatory to account the contraction of the orbitals for succesive Z' s in the isoelectronic sequences. We will leave this very important topic to a future work (in progress [11]) and, for the purposes of the present paper, we can consider the s nl as constants. The more refined approach [11] is based in a serie of papers by Kregar [12] and one of us (HODR [13]) and can be generalized to the relativistic treatment of complex atoms and ions.…”

“…We will leave this very important topic to a future work (in progress [11]) and, for the purposes of the present paper, we can consider the s nl as constants. The more refined approach [11] is based in a serie of papers by Kregar [12] and one of us (HODR [13]) and can be generalized to the relativistic treatment of complex atoms and ions. While it is true that the use of screening constants is immediate, the use of screening parameters gives better agreement with experimental energy values.…”

“…The formulation of the SHM is easier in the non-relativistic approach; the required generalization is immediate and will be presented elsewhere [11]. According with Layzer [1], the total nonrelativistic energy can be written as the expansion…”

“…(11), N nl is an appropriate normalization coefficient and the a 0 k s are calculated as follows [18]:…”

“…(8) or the corresponding relativistic counterparty. In this work, we do not present any new method to estimate s nl parameters; a work about that topic is in progress [11]. Therefore, all present calculations are based in the values provided in Refs.…”