Transition energies and oscillator strengths for the intrashell and intershell transitions of the C-like ions in a thermodynamic equilibrium plasma environment.

We present a theoretical study of the transition energies ω and the oscillator strengths gf for the C-like ions (with Z from 14-36) subject to plasma environment for atomic transitions, which meet the spatial and temporal criteria of the Debye-Hückel (DH) approximation. Two strong dipole-allowed transitions, viz., the intrashell transition 2s2p^{3}^{3}D_{1}→2s^{2}2p^{2}^{3}P_{0}, and the intershell transition 2s^{2}2p3d^{3}D_{1}→2s^{2}2p^{2}^{3}P_{0} are investigated in detail. We found that both ω and gf increase for the intrashell transition under the Debye-Hückel screening potential V_{DH} in terms of the Debye length D, which is linked to the ratio between the plasma density N_{e} and its temperature kT. In contrast, both ω and gf decrease for the intershell transition. Our theoretically estimated data have led to a general scaling feature for the change in ω of both intershell and intrashell transitions for ions with different nuclear charge Z. A similar general feature for the change in gf is also found for the intrashell transition. However, due to the change of the electron correlations between electrons in different shells with respect to the relativistic spin-orbit interaction as Z varies, the variation of gf subject to the surrounding plasma is more complicated for the intershell transition. The results presented in this work may facilitate the plasma diagnostic to determine the plasma temperature and density for the astrophysical objects and the controlled fusion facilities.