Calculation of the One- and Two-Loop Lamb Shift for Arbitrary Excited Hydrogenic States

Journal Article · Fri Oct 28 04:00:00 EDT 2005 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.95.180404· OSTI ID:20699482

Czarnecki, Andrzej ^[1]; Jentschura, Ulrich D ^[2]; Pachucki, Krzysztof ^[3]

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1. Department of Physics, University of Alberta, Edmonton, AB, T6G 2J1 (Canada)
2. Max-Planck-Institut fuer Kernphysik, Saupfercheckweg 1, 69117 Heidelberg (Germany)
3. Institute of Theoretical Physics, Warsaw University, Hoza 69, 00-681 Warsaw (Poland)

General expressions for quantum electrodynamic corrections to the one-loop self-energy [of order {alpha}(Z{alpha}){sup 6}] and for the two-loop Lamb shift [of order {alpha}{sup 2}(Z{alpha}){sup 6}] are derived. The latter includes all diagrams with closed fermion loops. The general results are valid for arbitrary excited non-S hydrogenic states and for the normalized Lamb shift difference of S states, defined as {delta}{sub n}=n{sup 3}{delta}E(nS)-{delta}E(1S). We present numerical results for one-loop and two-loop corrections for excited S, P, and D states. In particular, the normalized Lamb shift difference of S states is calculated with an uncertainty of order 0.1 kHz.

• OSTI ID: 20699482
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 18 Vol. 95; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUND STATE
CORRECTIONS
D STATES
EXCITED STATES
FERMIONS
HZ RANGE
LAMB SHIFT
P STATES
QUANTUM ELECTRODYNAMICS
S STATES
SELF-ENERGY