Confined hydrogenlike ions in plasma environments

The behavior of H-like ions embedded in astrophysical plasmas in the form of dense, strongly and weakly coupled plasmas is investigated. In these, the increase and decrease in temperature are impacted by a change in confinement radius r(c). Two independent and generalized scaling ideas have been applied to modulate the effect of the plasma-screening constant lambda and ion charge Z on such systems. Several relations are derived to interconnect the original Hamiltonian and two scaled Hamiltonians. In the exponential-cosine-screened Coulomb potential (ECSCP; dense) and weakly coupled plasma (WCP) these scaling relations have provided a linear equation connecting the critical screening constant lambda((c)) and Z. Their ratio offers a state-dependent constant beyond which a particular state vanishes. Shannon entropy has been employed to understand the plasma effect on the ion. With an increase in lambda, the accumulation of opposite charge surrounding the ion increases, leading to a reduction in the number of bound states. However, with a rise in ionic charge Z, this effect can be delayed. The competing effect of plasma charge density n(e) and temperature in WCP and ECSCP is investigated. A recently proposed simple virial-like theorem was established for these systems. Multipole (k = 1-4) oscillator strength and polarizabilities for these are studied considering 1s, 2s states. As a bonus, analytical closed-form expressions are derived for f((k)) and alpha((k)) (k = 1-4) involving is and 2s states for the free H-like ion.

Automated summary

The behavior of H-like ions embedded in astrophysical plasmas is investigated under various plasma conditions, with mathematical models simplified to demonstrate the interactions between them.