Abstract
We describe a nonperturbative (in Z{alpha}) numerical evaluation of the one-photon electron self-energy for 3P{sub 1/2}, 3P{sub 3/2}, 4P{sub 1/2}, and 4P{sub 3/2} states in hydrogenlike atomic systems with charge numbers Z=1 to 5. The numerical results are found to be in agreement with known terms in the expansion of the self-energy in powers of Z{alpha} and lead to improved theoretical predictions for the self-energy shift of these states.
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