Application of relativistic coupled cluster linear response theory to helium-like ions embedded in plasma environment

Ionization potential and low lying ¹S₀¹P₁ excitation energies (EE) of highly stripped He-like ions C^{4 +}, Al^{11 +}, and Ar^{16 +} embedded in plasma environment are calculated for the first time using the state-of-the-art coupled cluster (CC)-based linear response theory (LRT) with the four-component relativistic spinors and compared with available experimental data from laser plasma experiments. Debye's screening model is used to estimate the effect of plasma on the ions within the relativistic and non-relativistic framework. The transition energies computed at the CCLRT level using the Debye model agree well with experiment and with other available theoretical data. To our knowledge, no prior CCLRT calculations within the Dirac–Fock framework are available for these systems. Our calculated transition energies for helium-like ions are in accord with experiment; we trust that our predicted EE might be acceptably good for the systems considered. Our preliminary result indicates that CCLRT with the four-component relativistic spinors appears to be a valuable tool for studying the atomic systems where accurate treatments of correlation effects play a crucial role in shaping the spectral lines of ions subjected to plasma environment.