Influence of dense plasma on the energy levels and transition properties in highly charged ions

Abstract

The studies of the influence of plasma environments on the level structures and transition properties for highly charged ions are presented. For the relativistic treatment, we implemented the multiconfiguration Dirac-Fock method incorporating the ion sphere (IS) model potential, in which the plasma screening is taken into account as a modified interaction potential between the electron and the nucleus. For the nonrelativistic treatment, analytical solutions of the Schrödinger equation with two types of the IS screened potential are proposed. The Ritz variation method is used with hydrogenic wave function as a trial wave function that contains two unknown variational parameters. Bound energies are derived from an energy equation, and the variational parameters are obtained from the minimisation condition of the expectation value of the energy. Numerical results for hydrogen-like ions in dense plasmas are presented as examples. A detailed analysis of the influence of relativistic effects on the energy levels and transition properties is also reported. Our results are compared with available results in the literature showing a good quantitative agreement.

Dominance of the density effects in the magnetic sublevel population and circular polarization of x-ray radiation

“…In this expression, α t (t=p, q) and ω pq are, respectively, the Dirac matrices and the angular frequency of the exchanged virtual photon. Y g i (Y g f ) is the antisymmetric (N+1)-electron wave function for the initial (final) state of the system [29,30] å å…”

Shannon, Rényi entropies, and Fisher information calculations of the Li1+ and Be2+ ions screened by the ion-sphere plasma model

“…For example, P. K. Mukherjee and co-workers [9][10][11][12][13] have shown results for the hydrogen and helium-like atoms embedded in the ion-sphere model where the authors report how the energy levels, dipole electronic transitions, and hyperpolarizabilities are modified. The helium-like atoms have been studied extensively with correlated methods where the energy levels and electronic transitions are the principal results of those investigations [14][15][16][17][18][19][20][21][22]. Here the correlation effects are relevant in the description of the electronic properties of the ions screened by the ion-sphere model.…”

Variation of the transition energies and oscillator strengths for the 3C and 3D lines of the Ne-like ions under plasma environment

“…The influence of the plasma environment to the atomic processes is a challenging many-body problem and several sophisticated and complicated models were developed over the years to understand such processes [22][23][24][25]. On the other hand, the Debye-Hückel (DH) model, with its simplicity [26], could easily capture the important qualitative features over several orders of magnitude in plasma temperature and density, and, at the same time, offer the physical interpretation as a reliable reference for other theoretical models [21,[27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46]. Recently, we present a critical assessment of the DH approximation in terms of the spatial and temporal criteria for dense plasma which limits its applicability to atomic processes that are short-ranged in nature for the H-like and Helike ions with nucleus charge Z between 5 and 18 [21,28,29].…”