Coordinate-space approach to the bound-electron self-energy: Self-energy screening calculation

The self-energy screening correction is evaluated in a model in which the effect of the screening electron is represented as a first-order perturbation of the self-energy by an effective potential. The effective potential is the Coulomb potential of the spherically averaged charge density of the screening electron. We evaluate the energy shift due to a ${1s}_{1/2},$ ${2s}_{1/2},$ ${2p}_{1/2},$ or ${2p}_{3/2}$ electron screening a ${1s}_{1/2},$ ${2s}_{1/2},$ ${2p}_{1/2},$ or ${2p}_{3/2}$ electron, for nuclear charge Z in the range $5<~Z<~92.$ A detailed comparison with other calculations is made.