Two-loop self-energy for the ground state of medium-Z hydrogenlike ions

Journal Article · Thu Oct 15 00:00:00 EDT 2009 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.80.040501· OSTI ID:21316318

Yerokhin, V A ^[1]

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1. Center for Advanced Studies, St. Petersburg State Polytechnical University, Polytekhnicheskaya 29, St. Petersburg 195251 (Russian Federation)

The two-loop self-energy correction to the ground-state Lamb shift is calculated for hydrogenlike ions with the nuclear charge Z=10-30 without any expansion in the binding field of the nucleus. A calculational technique is reported for treatment of Feynman diagrams in the mixed coordinate-momentum representation, which yields significant improvement in numerical accuracy as compared to previous results. An extrapolation of the all-order numerical data yields a result for the higher-order remainder function for hydrogen. The previously reported disagreement between the all-order and the perturbative approaches is reduced to the marginal agreement.

• OSTI ID: 21316318
• Journal Information: Physical Review. A, Vol. 80, Issue 4; Other Information: DOI: 10.1103/PhysRevA.80.040501; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ACCURACY
ATOMIC NUMBER
COORDINATES
CORRECTIONS
EXTRAPOLATION
FEYNMAN DIAGRAM
GROUND STATES
HYDROGEN
IONS
LAMB SHIFT
PERTURBATION THEORY
SELF-ENERGY