Berlin 2001 – scientific programme
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A: Atomphysik
A 17: Posters Friday (Spectroscopy)
A 17.31: Poster
Friday, April 6, 2001, 12:30–15:00, AT3
Radiative-Recoil Corrections of Order α(Zα)5(m/M)m to Lamb Shift — •Valery Shelyuto1, Michael Eides2,3, and Howard Grotch2 — 1D. I. Mendeleev Institute of Metrology, St.Petersburg 198005, Russia — 2Department of Physics and Astronomy, University of Kentucky, Lexington, KY 40506, USA — 3Petersburg Nuclear Physics Institute, Gatchina, St.Petersburg 188350, Russia
The results and main steps of an analytic calculation of radiative-recoil corrections of order α(Zα)5(m/M)m to the Lamb shift in hydrogen are presented. The calculations are performed in the infrared safe Yennie gauge. The discrepancy between two previous numerical calculations of these corrections existing in the literature is resolved. Our new result
| Δ E = | ⎛ ⎜ ⎜ ⎝ | 6ζ(3)−2π2ln2+ |
| −14 | ⎞ ⎟ ⎟ ⎠ |
|
| ⎛ ⎜ ⎜ ⎝ |
| ⎞ ⎟ ⎟ ⎠ |
| m |
| ≈−13.0676322… |
|
| ⎛ ⎜ ⎜ ⎝ |
| ⎞ ⎟ ⎟ ⎠ |
| m |
eliminates the largest source of the theoretical uncertainty in the magnitude of the deuterium-hydrogen isotope shift.