Generalized oscillator strengths for the ground state [formula omitted] of sodium atom embedded in a plasma medium

Abstract

The dipole and generalized oscillator strengths (DOS and GOS) of the free and confined atomic system are related to the description of several interesting chemical physical properties, e.g. static polarizability, photoionization, and stopping cross section (energy loss), among others. In this work, we show results for the 3s→3p,4p DOS electronic transition, the 3s→4s,5s,6s, and the 3s→3p,4p,5p GOS electronic transition of the sodium atom in the presence of a weak and strong plasma environment describe by a Debye-Hückel (DHS) and an exponential-cosine-screened-Coulomb (ECSC) potentials as a function of the plasma screening length, λ. We solve the time-independent Schrödinger equation implementing a numerical approach using a pseudo-potential model to describe the sodium core electrons. We find that the 3s energy level becomes delocalized due to the screening plasma interaction for lower values of λ~2.43 and ~4.10 a.u., for the DHS and ECSC potentials, respectively. As a consequence, the f3s→3p and f3s→4p DOS transitions for both DHS and ECSC plasma environments are reduced as the screening length is decreased observing clear differences between plasma mediums. Similar behavior is observed for the GOS electronic transitions as a function of the transferred momentum where the ECSC plasma medium decreases the amplitude transition as the screening length reaches the energy delocalization. In the absence of a plasma environment, we compare our DOS and GOS results observing a good agreement in comparison with other theoretical and experimental findings.