6s and 8d state self-energy for hydrogen-like ions and new results on the self-energy screening

We use a recently published method for the renormalization of the self-energy to calculate the self-energy of 6s and 8d levels to all orders in Zα. We demonstrate the accuracy of the method and its potential for high-n, low-Z applications. We also show that this method is perfectly suited for the evaluation of the two-electron self-energy (self-energy screening). For the first time, evaluation of the screening of the 1s electron by a second one in either the 1s,2s, 2p_1/2 or 2p_3/2 shells has been performed, for 30 ⩽ Z ⩽92. This revised version was published online in July 2006 with corrections to the Cover Date.