Relativistic and Radiative Energy Shifts for Rydberg States
arXiv:physics/0406015 · doi:10.1088/0953-4075/38/2/008
Abstract
We investigate relativistic and quantum electrodynamic effects for highly-excited bound states in hydrogenlike systems (Rydberg states). In particular, hydrogenic one-loop Bethe logarithms are calculated for all circular states (l = n-1) in the range 20 <= n <= 60 and successfully compared to an existing asymptotic expansion for large principal quantum number n. We provide accurate expansions of the Bethe logarithm for large values of n, for S, P and circular Rydberg states. These three expansions are expected to give any Bethe logarithms for principal quantum number n > 20 to an accuracy of five to seven decimal digits, within the specified manifolds of atomic states. Within the numerical accuracy, the results constitute unified, general formulas for quantum electrodynamic corrections whose validity is not restricted to a single atomic state. The results are relevant for accurate predictions of radiative shifts of Rydberg states and for the description of the recently investigated laser-dressed Lamb shift, which is observable in a strong coherent-wave light field.
8 pages; RevTeX 4
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Cited by in corpus (8)
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- Calculation of Hydrogenic Bethe Logarithms for Rydberg States
- Fundamental constants and tests of theory in Rydberg states of one-electron ions
- One-dimensional Rydberg Gas in a Magnetoelectric Trap
- Proposal for the determination of nuclear masses by high-precision spectroscopy of Rydberg states
- Two-Loop Effects and Current Status of the 4He+ Lamb Shift
- Interaction-induced stabilization of circular Rydberg atoms