Finite nuclear size and Lamb shift of p-wave atomic states

Journal Article · Sun Jun 01 00:00:00 EDT 2003 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.67.062111· OSTI ID:20636524

Milstein, A I; Sushkov, O P; Terekhov, I S ^[1]

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1. Budker Institute of Nuclear Physics, 630090 Novosibirsk (Russian Federation)

We consider corrections to the Lamb shift of the p-wave atomic states due to the finite nuclear size (FNS). In other words, these are radiative corrections to the atomic isotope shift related to the FNS. It is shown that the structure of the corrections is qualitatively different to that for the s-wave states. The perturbation theory expansion for the relative correction for a p{sub 1/2} state starts with a {alpha} ln(1/Z{alpha}) term, while for the s{sub 1/2} states it starts with a Z{alpha}{sup 2} term. Here, {alpha} is the fine-structure constant and Z is the nuclear charge. In the present work, we calculate the {alpha} terms for that 2p states, the result for the 2p{sub 1/2} state reads (8{alpha}/9{pi}){l_brace}ln[1/(Z{alpha}){sup 2}]+0.710{r_brace}. Even more interesting are the p{sub 3/2} states. In this case the 'correction' is several orders of magnitude larger than the 'leading' FNS shift. However, absolute values of energy shifts related to these corrections are very small.

• OSTI ID: 20636524
• Journal Information: Physical Review. A, Vol. 67, Issue 6; Other Information: DOI: 10.1103/PhysRevA.67.062111; (c) 2003 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
ATOMIC NUMBER
EXPANSION
FINE STRUCTURE
LAMB SHIFT
NUCLEAR RADII
P WAVES
PERTURBATION THEORY
RADIATIVE CORRECTIONS
S WAVES