Static dipole polarizability of hydrogenlike ions in Debye plasmas

Abstract

The scaled static dipole polarizabilities of $1s$ and $2s$ states of hydrogenlike ions embedded in a plasma environment are calculated as function of the interaction screening. The plasma screening of Coulomb interaction is described by the Debye-H\uckel potential. The electron energies and wave functions of bound and continuum states are calculated by solving numerically the Schr\odinger equation with this potential in a symplectic integration scheme. The screening of Coulomb interactions reduces the number of bound states, decreases the energies of bound states and broadens the radial extension of the wave functions of bound and continuum states. All these effects result in a dramatic increase in static polarizability when the interaction screening increases. Comparison of present results with those of other authors is made when available.