Various methods for describing energies and transition properties in H-like ions under Debye and quantum plasmas

Abstract

In this paper, we propose two kinds of theoretical methods: (i) a self-consistent fully relativistic model, Flexible Atomic Code (FAC) and (ii) an analytical form based on the tensor expression of the Breit-Pauli Hamiltonian, for describing electronic structure of highly charged ions under external confinement. The effect of confinement due to Debye plasma is incorporated through a standard Debye-Hückel potential, yet that of quantum plasma is treated under an exponential cosine screened Coulomb potential. For the latter model, the relativistic corrections arise from the mass and Darwin corrections are derived. As a test case, the effects of the confinement produced by the above two kinds of plasmas on the energies and transition rates of H-like Mg11+ and Fe25+ ions are investigated. Some characteristics of the respective properties in regard to the plasma shielding strength are analyzed. The present results are compared with each other and other available values for the same system, show a good quantitative agreement.