Higher-order binding corrections to the Lamb shift of 2P states

Abstract

We present an improved calculation of higher-order corrections to the one-loop self energy of 2P states in hydrogen-like systems with small nuclear charge Z. The method is based on a division of the integration with respect to the photon energy into a high- and a low-energy part. The high-energy part is calculated by an expansion of the electron propagator in powers of the Coulomb field. The low-energy part is simplified by the application of a Foldy-Wouthuysen transformation. This transformation leads to a clear separation of the leading contribution from the relativistic corrections and removes higher order terms. The method is applied to the 2P_{1/2} and 2P_{3/2} states in atomic hydrogen. The results lead to new theoretical values for the Lamb shifts and the fine structure splitting.

18 pages, LaTeX. In comparison to the journal version, it contains an added note (2000) which reflects the current status of Lamb shift calculations

Cited by in corpus (62)

• CODATA Recommended Values of the Fundamental Physical Constants: 2010
• Theory of Light Hydrogenlike Atoms
• Fine structure of helium-like ions and determination of the fine structure constant
• Nonrelativistic QED approach to the Lamb shift
• Multi-Instantons and Exact Results III: Unified Description of the Resonances of Even and Odd Anharmonic Oscillators
• Lamb Shift in Muonic Hydrogen. I. Verification and Update of Theoretical Predictions
• Electron Self Energy for the K and L Shell at Low Nuclear Charge
• Spectroscopy of atomic hydrogen. How is the Rydberg constant determined?
• Calculation of the One- and Two-Loop Lamb Shift for Arbitrary Excited Hydrogenic States
• Comprehensive theory of the Lamb shift in light muonic atoms
• Lamb Shift of 3P and 4P states and the determination of $\alpha$
• Resummation of the Divergent Perturbation Series for a Hydrogen Atom in an Electric Field
• Radiative energy shifts induced by local potentials
• The proton radius (puzzle?) and its relatives
• Two-Loop Self-Energy Corrections to the Fine-Structure
• Foldy-Wouthuysen Transformation, Scalar Potentials and Gravity
• Implementation of the Combined--Nonlinear Condensation Transformation
• Calculation of Hydrogenic Bethe Logarithms for Rydberg States
• Lamb Shift of Laser-Dressed Atomic States
• Asymptotic properties of self-energy coefficients
• Self-Energy Correction to the Two-Photon Decay Width in Hydrogenlike Atoms
• Nonrelativistic Limit of the Dirac-Schwarzschild Hamiltonian: Gravitational Zitterbewegung and Gravitational Spin-Orbit Coupling
• Perturbation Approach to the Self Energy of non-S Hydrogenic States
• Magnetic Dipole Moment in Relativistic Quantum Mechanics
• Dirac Equations with Confining Potentials
• Two-Loop Bethe Logarithms for non-S Levels
• Two-Loop Bethe Logarithms for Higher Excited S Levels
• Double-Logarithmic Two-Loop Self-Energy Corrections to the Lamb Shift
• Long-range interactions of hydrogen atoms in excited states. I. 2S-1S interactions and Dirac-delta perturbations
• Relativistic and Radiative Corrections to the Mollow Spectrum
• Relativistic and Radiative Energy Shifts for Rydberg States
• A Problematic Set of Two-Loop Self-Energy Corrections
• Temperature-dependent dielectric function of intrinsic silicon: Analytic models and atom-surface potentials
• Fine and hyperfine structure of the muonic ^3He ion
• Finite nuclear size and Lamb shift of p-wave atomic states
• QED corrections of order alpha (Zalpha)^2 E_F to the hyperfine splitting of P_1/2 and P_3/2 states in hydrogenlike ions
• Magic wavelength for the hydrogen 1S-2S transition: Contribution of the continuum and the reduced-mass correction
• Long-range interactions of hydrogen atoms in excited states. III. nS-1S interactions for n >= 3
• Fine structure of helium and light helium-like ions
• Proposal for the determination of nuclear masses by high-precision spectroscopy of Rydberg states
• Reparameterization invariance of NRQED self-energy corrections and improved theory for excited D states in hydrogenlike systems
• Two-Loop QED Bound-State Calculations and Squared Decay Rates
• Quantum electrodynamics of two-body systems with arbitrary masses
• Extrapolation of the Zalpha-Expansion and Two--Loop Bound--State Energy Shifts
• Non-Resonant Two-Photon Transitions in Length and Velocity Gauges
• Relativistic Bethe logarithm for triplet states of helium-like ions
• One-loop electron self-energy with accelerated partial-wave expansion in Coulomb gauge
• Fifth Force and Hyperfine Splitting in Bound Systems
• Relativistic and Radiative Corrections to the Dynamic Stark Shift: Gauge Invariance and Transition Currents in the Velocity Gauge
• Breit Hamiltonian and QED Effects for Spinless Particles
• Quantum Electrodynamic Corrections to Cyclotron States in a Penning Trap
• Recoil corrections in the hydrogen isoelectronic sequence
• Self-Energy Correction to the Bound-Electron g Factor of P States
• Techniques in Analytic Lamb Shift Calculations
• Proton Radius: A Puzzle or a Solution!?
• Calculation of the Characteristic Functions of Anharmonic Oscillators
• Green Function of the Poisson Equation: D=2,3,4
• From First Principles of QED to an Application: Hyperfine Structure of P States of Muonic Hydrogen
• Close Examination of the Ground-State Casimir-Polder Interaction: Time-Ordered Versus Covariant Formalism and Radiative Corrections
• Reexamination of vacuum-polarization corrections to the self-energy in muonic bound systems
• Toward high-precision values of the self energy of non-S states in hydrogen and hydrogen-like ions
• Gravitational Interactions and Fine-Structure Constant