dorsal/arxiv
View SchemaFinite nuclear size and Lamb shift of p-wave atomic states
| Authors | A. I. Milstein, O. P. Sushkov, I. S. Terekhov |
|---|---|
| Categories | |
| ArXiv ID | physics/0212018 |
| URL | https://arxiv.org/abs/physics/0212018 |
| DOI | 10.1103/PhysRevA.67.062111 |
Abstract
We consider corrections to the Lamb shift of p-wave atomic states due to the finite nuclear size (FNS). In other words, these are radiative corrections to the atomic isotop shift related to FNS. It is shown that the structure of the corrections is qualitatively different from that for s-wave states. The perturbation theory expansion for the relative correction for a $p_{1/2}$-state starts from $\alpha\ln(1/Z\alpha)$-term, while for $s_{1/2}$-states it starts from $Z\alpha^2$ term. Here $\alpha$ is the fine structure constant and $Z$ is the nuclear charge. In the present work we calculate the $\alpha$-terms for $2p$-states, the result for $2p_{1/2}$-state reads $(8\alpha/9\pi)[\ln(1/(Z\alpha)^2)+0.710]$. Even more interesting are $p_{3/2}$-states. In this case the ``correction'' is by several orders of magnitude larger than the ``leading'' FNS shift.
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"abstract": "We consider corrections to the Lamb shift of p-wave atomic states due to the\nfinite nuclear size (FNS). In other words, these are radiative corrections to\nthe atomic isotop shift related to FNS. It is shown that the structure of the\ncorrections is qualitatively different from that for s-wave states. The\nperturbation theory expansion for the relative correction for a $p_{1/2}$-state\nstarts from $\\alpha\\ln(1/Z\\alpha)$-term, while for $s_{1/2}$-states it starts\nfrom $Z\\alpha^2$ term. Here $\\alpha$ is the fine structure constant and $Z$ is\nthe nuclear charge. In the present work we calculate the $\\alpha$-terms for\n$2p$-states, the result for $2p_{1/2}$-state reads\n$(8\\alpha/9\\pi)[\\ln(1/(Z\\alpha)^2)+0.710]$. Even more interesting are\n$p_{3/2}$-states. In this case the ``correction\u0027\u0027 is by several orders of\nmagnitude larger than the ``leading\u0027\u0027 FNS shift.",
"arxiv_id": "physics/0212018",
"authors": [
"A. I. Milstein",
"O. P. Sushkov",
"I. S. Terekhov"
],
"categories": [
"physics.atom-ph",
"hep-ph"
],
"doi": "10.1103/PhysRevA.67.062111",
"title": "Finite nuclear size and Lamb shift of p-wave atomic states",
"url": "https://arxiv.org/abs/physics/0212018"
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