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We develop the recently proposed analytical R-matrix (ARM) method to encompass strong field ionisation by circularly polarised fields, for atoms with arbitrary binding potentials. Through ARM, the effect of the potential can now be included…

原子物理 · 物理学 2013-08-05 Jivesh Kaushal , Olga Smirnova

The nuclear size effect on the one-loop self energy and vacuum polarization is evaluated for the 1s, 2s, 3s, 2p_{1/2}, and 2p_{3/2} states of hydrogen-like ions. The calculation is performed to all orders in the binding nuclear strength…

原子物理 · 物理学 2015-05-20 Vladimir A. Yerokhin

An explanation of the difference of the charge radius of the proton as determined from the Lamb shift in electronic hydrogen and from elastic electron scattering off the proton on the one side and the recent high precision determination…

原子物理 · 物理学 2012-10-25 Thomas Walcher

Recent improvements in the determination of the running of the fine-structure constant also allow an update of the hadronic vacuum-polarization contribution to the Lamb shift. We find a shift of -3.40(7) kHz to the 1S level of hydrogen. We…

核理论 · 物理学 2008-11-26 J. L. Friar , J. Martorell , D. W. L. Sprung

We present new investigation of the Lamb shift (2P_{1/2}-2S_{1/2}) in muonic deuterium (mu d) atom using the three-dimensional quasipotential method in quantum electrodynamics. The vacuum polarization, nuclear structure and recoil effects…

高能物理 - 唯象学 · 物理学 2013-05-29 A. A. Krutov , A. P. Martynenko

The proton polarizability correction to the Lamb shift of electronic and muonic hydrogen is calculated on the basis of isobar model and experimental data on the structure functions of deep inelastic lepton-nucleon scattering. The…

高能物理 - 唯象学 · 物理学 2009-11-11 A. P. Martynenko

We commence the evaluation of the one- and two-loop binding corrections to the $g factor for an electron in a hydrogenlike system of order alpha^2 (Z alpha)^5 and consider diagrams with closed fermion loops. The one-loop vacuum-polarization…

高能物理 - 唯象学 · 物理学 2009-09-26 U. D. Jentschura

The sixth-order electron-loop vacuum-polarization contribution to the $2P_{1/2} - 2S_{1/2}$ Lamb shift of the muonic hydrogen ($\mu^{-} p^+$ bound state) has been evaluated numerically. Our result is 0.007608(1) meV. This eliminates the…

高能物理 - 唯象学 · 物理学 2009-09-02 T. Kinoshita , M. Nio

We investigate the Lamb shift of centripetally accelerated atoms coupled to electromagnetic vacuum fluctuations. Focusing on a very small orbital radius (so that the tangential speed remains nonrelativistic and the proper centripetal…

量子物理 · 物理学 2026-03-09 Yan Peng , Jiawei Hu , Hongwei Yu

Three-loop electronic vacuum-polarization corrections due to irreducible diagrams are evaluated for two-body muonic ions with nuclear charge numbers 1 <= Z <= 6. The corrections are of order alpha^3 (Zalpha)^2 m_r, where alpha is the…

高能物理 - 唯象学 · 物理学 2025-03-17 G. S. Adkins , U. D. Jentschura

The two-loop self-energy correction to the Lamb shift of hydrogen-like ions is calculated for the $1s$, $2s$, and $2p_{1/2}$ states and nuclear charge numbers $Z = 30$-$100$. The calculation is performed to all orders in the nuclear binding…

原子物理 · 物理学 2018-05-25 V. A. Yerokhin

The energy correction associated with the self-energy diagram is the leading (in magnitude) and fundamental (in significance) contribution to the Lamb shift in highly charged ions. Conventional approaches to this correction rely on…

原子物理 · 物理学 2026-03-17 M. A. Reiter , E. O. Lazarev , D. A. Glazov , A. V. Malyshev , A. V. Volotka

We present a derivation of the last unknown part of the $\alpha^7m$ contribution to the Lamb shift of a two-electron atom, induced by the radiative QED effects beyond the Bethe logarithm. This derivation is performed in the framework of…

原子物理 · 物理学 2021-01-13 Vojtěch Patkóš , Vladimir A. Yerokhin , Krzysztof Pachucki

The maximal acceleration corrections to the Lamb shift of one--electron atoms are calculated starting from the Dirac equation and splitting the spinor into large and small components. The results depend on $Z^8$ and a cut-off $\Lambda$.…

高能物理 - 理论 · 物理学 2007-05-23 G. Lambiase , G. Papini , G. Scarpetta

The maximal acceleration corrections to the Lamb shift of one--electron atoms are calculated in a non--relativistic approximation. They are compatible with experimental results, are in particularly good agreement with the $2S-2P$ Lamb shift…

高能物理 - 唯象学 · 物理学 2011-08-17 G. Lambiase , G. Papini , G. Scarpetta

Results of a calculation valid to all orders in the nuclear-strength parameter Z\alpha are presented for the two-loop Lamb shift, notably for the two-loop self-energy correction, for the ground and first excited states of ions with the…

原子物理 · 物理学 2009-11-13 V. A. Yerokhin , P. Indelicato , V. M. Shabaev

We consider the $1s$ Lamb shift in hydrogen and helium ions, a quantity, required for an accurate determination of the Rydberg constant and the proton charge radius by means of hydrogen spectroscopy, as well as for precision tests of the…

Radiative corrections to electronic structure are characterized by perturbative expansions in $\alpha$ and $Z\alpha$, where $\alpha$ is the fine-structure constant and $Z$ is the nuclear charge. A formulation of the leading-order…

原子物理 · 物理学 2024-08-08 D. J. Flynn , I. P. Grant , H. M. Quiney

We present a simple derivation of the Lamb shift using effective field theory techniques and dimensional regularisation.

高能物理 - 唯象学 · 物理学 2009-09-25 A. Pineda , J. Soto

The Coulomb corrections to the helicity amplitudes of high-energy photon splitting are examined. The consideration is based on the amplitudes obtained exactly in the parameter Z\alpha within the quasiclassical approach valid for small…

高能物理 - 唯象学 · 物理学 2007-05-23 R. N. Lee , A. I. Milstein , V. M. Strakhovenko