Lamb Shift

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E. Borie - One of the best experts on this subject based on the ideXlab platform.

Krzysztof Pachucki - One of the best experts on this subject based on the ideXlab platform.

  • theory of the Lamb Shift in hydrogen and light hydrogen like ions
    arXiv: Atomic Physics, 2018
    Co-Authors: V A Yerokhin, Krzysztof Pachucki, Vojtěch Patkos
    Abstract:

    Theoretical calculations of the Lamb Shift provide the basis required for the determination of the Rydberg constant from spectroscopic measurements in hydrogen. The recent high-precision determination of the proton charge radius drastically reduced the uncertainty in the hydrogen Lamb Shift originating from the proton size. As a result, the dominant theoretical uncertainty now comes from the two- and three-loop QED effects, which calls for further advances in their calculations. We review the present status of theoretical calculations of the Lamb Shift in hydrogen and light hydrogen-like ions with the nuclear charge number up to $Z = 5$. Theoretical errors due to various effects are critically examined and estimated.

  • Simple derivation of helium Lamb Shift
    Journal of Physics B: Atomic Molecular and Optical Physics, 1998
    Co-Authors: Krzysztof Pachucki
    Abstract:

    A simple derivation of Lamb Shift in the two-electron helium atom, in the spirit of nonrelativistic quantum electrodynamics, is presented. Moreover, a complete expression for the leading recoil correction is derived for the first time.

  • Complete two-loop binding correction to the Lamb Shift
    Physical review letters, 1994
    Co-Authors: Krzysztof Pachucki
    Abstract:

    The binding correction of the two-loop contribution to the Lamb Shift in hydrogenlike atoms is calculated by a combined analytical and numerical method. A new theoretical value for the Lamb Shift is given and the proton radius puzzle is solved in favor of the value obtained by the Mainz group.

  • Higher-Order Binding Corrections to the Lamb Shift
    Annals of Physics, 1993
    Co-Authors: Krzysztof Pachucki
    Abstract:

    Abstract In this work a new analytical method for calculating the one-loop self-energy correction to the Lamb Shift is presented in detail. The technique relies on division into the low and the high energy parts. The low energy part is calculated using the multipole expansion and the high energy part is calculated by expanding the Dirac-Coulomb propagator in powers of the Coulomb field. The obtained results are in agreement with those previously known, but are more accurate. A new theoretical value of the Lamb Shift is also given.

Jonathan Sapirstein - One of the best experts on this subject based on the ideXlab platform.

  • Calculation of the Lamb Shift in neutral alkali metals
    Physical Review A, 2002
    Co-Authors: Jonathan Sapirstein, K. T. Cheng
    Abstract:

    The one-loop Lamb Shift is calculated for the ground state of the neutral alkali metals lithium through francium. The method used is Furry representation QED, defined in terms of a variety of local potentials. The method is exact in binding corrections, but is potential dependent. Significant differences with known Lamb Shift results for lithium are found, and it is shown that large corrections result from a partial set of screening corrections. Comparison with other calculations is made.

  • Determination of the two-loop Lamb Shift in lithiumlike bismuth
    Physical Review A, 2001
    Co-Authors: Jonathan Sapirstein, K. T. Cheng
    Abstract:

    The energy levels of lithiumlike bismuth are shown to be accurately described in a representation-independent manner when all diagrams involving one and two photons, with the exception of the two-loop Lamb Shift, are evaluated. Comparison with the experimental value of the 2p{sub 3/2}-2s{sub 1/2} splitting then shows that, assuming three-photon effects are negligible, the contribution of the two-loop Lamb Shift is 0.175(39) eV.

  • Perturbed Orbital Contribution to the Two-Loop Lamb Shift in Hydrogen
    Physical Review Letters, 1998
    Co-Authors: S. Mallampalli, Jonathan Sapirstein
    Abstract:

    A part of the two-loop Lamb Shift called the perturbed orbital term is evaluated with exact Dirac-Coulomb propagators. It is shown to be the most nonperturbative function of $Z\ensuremath{\alpha}$ yet encountered in QED, so much so that even at $Z\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}1$ the leading term in its $Z\ensuremath{\alpha}$ expansion is of the opposite sign from the complete answer. The higher order contributions are $\ensuremath{-}71(1)\phantom{\rule{0ex}{0ex}}\mathrm{kHz}$ to the ground state Lamb Shift in hydrogen and $\ensuremath{-}8.9(1)$ and $\ensuremath{-}346(1)\phantom{\rule{0ex}{0ex}}\mathrm{kHz}$ to the $n\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}2$ Lamb Shift in hydrogen and ${\mathrm{He}}^{+}$, respectively.

A. P. Martynenko - One of the best experts on this subject based on the ideXlab platform.

  • Theory of the Lamb Shift in muonic deuterium
    Physics of Atomic Nuclei, 2014
    Co-Authors: A. P. Martynenko, A. A. Krutov, R. N. Shamsutdinov
    Abstract:

    We present new calculation of the Lamb Shift (2P1/2 − 2S1/2), fine splitting of the 2P state and hyperfine splitting of the 2S state in muonic deuterium (µd) using the quasipotential method in quantum electrodynamics. The vacuum polarization, nuclear structure, and recoil effects are calculated with the account of contributions of orders α3, α4, α5, and α6. The obtained numerical value of the Lamb Shift 202.4139 meV can be considered as a reliable estimate for the comparison with forthcoming experimental data.

  • Lamb Shift in muonic deuterium atom
    Physical Review A, 2011
    Co-Authors: A. A. Krutov, A. P. Martynenko
    Abstract:

    We present an investigation of the Lamb Shift (2P{sub 1/2}-2S{sub 1/2}) in the muonic deuterium ({mu}D) atom using the three-dimensional quasipotential method in quantum electrodynamics. The vacuum polarization, nuclear-structure, and recoil effects are calculated with the account of contributions of orders {alpha}{sup 3}, {alpha}{sup 4}, {alpha}{sup 5}, and {alpha}{sup 6}. The results are compared with earlier performed calculations. The obtained numerical value of the Lamb Shift at 202.4139 meV can be considered a reliable estimate for comparison with forthcoming experimental data.

  • Lamb Shift in the muonic helium ion
    Physical Review A, 2007
    Co-Authors: A. P. Martynenko
    Abstract:

    The Lamb Shift $(2{P}_{1∕2}\ensuremath{-}2{S}_{1∕2})$ in the muonic helium ion ${(\ensuremath{\mu}\text{\ensuremath{-}}_{2}^{4}\mathrm{He})}^{+}$ is calculated with the account of contributions of orders ${\ensuremath{\alpha}}^{3}$, ${\ensuremath{\alpha}}^{4}$, ${\ensuremath{\alpha}}^{5}$, and ${\ensuremath{\alpha}}^{6}$. Special attention is given to corrections of the electron vacuum polarization, the nuclear structure, and recoil effects. The obtained numerical value of the Lamb Shift $1381.72\phantom{\rule{0.3em}{0ex}}\mathrm{meV}$ can be considered as a reliable estimate for the comparison with experimental data.

  • Proton polarizability contribution to the hydrogen Lamb Shift and hyperfine splitting
    AIP Conference Proceedings, 2001
    Co-Authors: R. N. Faustov, A. P. Martynenko
    Abstract:

    The contribution of the proton polarizability to the hydrogen hyperfine splitting and Lamb Shift is evaluated on the basis of modern experimental and theoretical results on the structure functions of deep inelastic e-p scattering. The numerical value of the contribution to the muonic hydrogen (2P-2S) Lamb Shift is equal to 16 μeV. The relative order proton polarizability correction to hydrogen hyperfine splitting is 1.4 ppm.

K. T. Cheng - One of the best experts on this subject based on the ideXlab platform.

  • Calculation of the Lamb Shift in neutral alkali metals
    Physical Review A, 2002
    Co-Authors: Jonathan Sapirstein, K. T. Cheng
    Abstract:

    The one-loop Lamb Shift is calculated for the ground state of the neutral alkali metals lithium through francium. The method used is Furry representation QED, defined in terms of a variety of local potentials. The method is exact in binding corrections, but is potential dependent. Significant differences with known Lamb Shift results for lithium are found, and it is shown that large corrections result from a partial set of screening corrections. Comparison with other calculations is made.

  • Determination of the two-loop Lamb Shift in lithiumlike bismuth
    Physical Review A, 2001
    Co-Authors: Jonathan Sapirstein, K. T. Cheng
    Abstract:

    The energy levels of lithiumlike bismuth are shown to be accurately described in a representation-independent manner when all diagrams involving one and two photons, with the exception of the two-loop Lamb Shift, are evaluated. Comparison with the experimental value of the 2p{sub 3/2}-2s{sub 1/2} splitting then shows that, assuming three-photon effects are negligible, the contribution of the two-loop Lamb Shift is 0.175(39) eV.