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We consider leading $O(m/M)$ nuclear recoil corrections to the hyperfine splitting in light atomic systems. Due to the singularity of hyperfine interactions, the electromagnetic form factors of the nucleus have to be introduced as a…

原子物理 · 物理学 2024-01-12 Krzysztof Pachucki

Adjusting a previously developed Grotch-type approach to a perturbative calculation of the electronic vacuum-polarization effects in muonic atoms, we find here the two-loop vacuum polarization relativistic recoil correction of order…

原子物理 · 物理学 2014-11-04 Savely G. Karshenboim , Evgeny Yu. Korzinin , Vladimir G. Ivanov

The rigorous QED evaluation of the one- and two-photon exchange corrections to the ground-state hyperfine splitting in Li-like ions is presented for the wide range of nuclear charge number $Z= 7 - 82$. The calculations are carried out in…

原子物理 · 物理学 2020-04-21 V. P. Kosheleva , A. V. Volotka , D. A. Glazov , S. Fritzsche

The treatment of the electron-nucleus interaction based on the Mott differential cross section was extended to account for effects due to screened Coulomb potentials, finite sizes and finite rest masses of nuclei for electrons above 200 keV…

The one-loop self-energy correction to the 1s electron g factor is evaluated to all orders in Z\alpha with an accuracy, which is essentially better than that of previous calculations of this correction. As a result, the uncertainty of the…

高能物理 - 唯象学 · 物理学 2009-11-07 V. A. Yerokhin , P. Indelicato , V. M. Shabaev

The matrix element of a bound electron interacting with the nucleus through exchange of a Z boson is studied for the gauge invariant case of $2s_{1/2}-2p_{1/2}$ transitions in hydrogenic ions. The QED radiative correction to the matrix…

高能物理 - 唯象学 · 物理学 2009-11-10 J. Sapirstein , K. Pachucki , A. Veitia , K. T. Cheng

The relativistic nuclear recoil corrections to the energy of the $2p_{\frac{3}{2}}$ state of hydrogen-like and the $(1s)^{2}2p_{\frac{3}{2}}$ state of high $Z$ lithium-like atoms in all orders in $\alpha Z$ are calculated. The calculations…

量子物理 · 物理学 2009-10-28 A. N. Artemyev , V. M. Shabaev , V. A. Yerokhin

The recombination of an electron with an (initially) hydrogen-like ion is investigated. The effect of the electron-electron interaction is treated rigorously to the first order in the parameter 1/Z and within the screening-potential…

原子物理 · 物理学 2015-05-19 Vladimir A. Yerokhin , Andrey Surzhykov

Fully relativistic approach to evaluate the correlation effects in highly charged ions is presented. The interelectronic-interaction contributions of first and second orders in $1/Z$ are treated rigorously within the framework of…

原子物理 · 物理学 2019-12-18 Y. S. Kozhedub , A. V. Malyshev , D. A. Glazov , V. M. Shabaev , I. I. Tupitsyn

A version of the Bethe-Salpeter equation appropriate for calculating recoil corrections in highly charged hydrogenlike ions is presented. The nucleus is treated as a scalar particle of charge Z, and the electron treated relativistically.…

高能物理 - 唯象学 · 物理学 2009-11-11 G. S. Adkins , J. Sapirstein

We calculate the contributions of weak magnetism and proton recoil of order O(E^2_e/m^2_N)~10^{-5}, i.e. to next-to-next-to-leading order in the large nucleon mass expansion, to the neutron lifetime and correlation coefficients of the…

高能物理 - 唯象学 · 物理学 2021-07-13 A. N. Ivanov , R. Höllwieser , N. I. Troitskaya , M. Wellenzohn , Ya. A. Berdnikov

In order to interpret precise measurements of molecular properties the finite nuclear mass corrections to the Born-Oppenheimer approximation have to be accounted for. It is shown that they can be obtained systematically in the perturbative…

化学物理 · 物理学 2015-05-14 Krzysztof Pachucki

The Mott corrections to the higher moments of the heavy ion energy-loss distribution are calculated in a wide range of relative particle velocity on the basis of the Mott exact cross section. It is shown that the relative Mott corrections…

高能物理 - 唯象学 · 物理学 2019-02-06 O. Voskresenskaya

A complete analysis of proton recoil asymmetry in neutron decay in the first order of radiative and recoil corrections is presented. The possible contributions from new physics are calculated in terms of low energy coupling constants, and…

高能物理 - 唯象学 · 物理学 2008-11-26 V. Gudkov

Accurate calculations of the nuclear recoil effect to the Lamb shift of hydrogen-like atoms are presented. Numerical results are reported for the $ns$ states with $n \leq 5$ and for the $2p_{1/2}$ and $2p_{3/2}$ states. The calculations are…

原子物理 · 物理学 2016-08-03 V. A. Yerokhin , V. M. Shabaev

We investigate the modification of the transverse electromagnetic interaction between two point-like particles when one particle acquires a finite size. It is shown that the correct treatment of such interaction cannot be accomplished…

原子物理 · 物理学 2024-01-12 Krzysztof Pachucki , Vladimir A. Yerokhin

A weighted difference of the $g$-factors of the Li- and H-like ion of the same element is studied and optimized in order to maximize the cancellation of nuclear effects. To this end, a detailed theoretical investigation is performed for the…

原子物理 · 物理学 2016-08-10 V. A. Yerokhin , E. Berseneva , Z. Harman , I. I. Tupitsyn , C. H. Keitel

Energies of (2s2 2p5 3l3l') and (2s 2p6 3l3l') states for sodiumlike ions with Z =14--100 are evaluated to second order in relativistic many-body perturbation theory starting from a neonlike Dirac-Fock potential. Second-order Coulomb and…

原子物理 · 物理学 2009-11-07 U. I. Safronova , W. R. Johnson , M. S. Safronova , J. R. Albritton

Recently we calculated relativistic recoil corrections to the energy levels of the low lying states in muonic hydrogen induced by electron vacuum polarization effects. The results were obtained by Breit-type and Grotch-type calculations.…

原子物理 · 物理学 2014-11-04 Savely G. Karshenboim , Vladimir G. Ivanov , Evgeny Yu. Korzinin

We study binding corrections to the gyromagnetic factor g_e of an electron in hydrogen-like ions. We argue that the leading order binding effects in radiative corrections Delta g_rad are universal to all orders in alpha/pi and the complete…

高能物理 - 唯象学 · 物理学 2009-10-31 Andrzej Czarnecki , Kirill Melnikov , Alexander Yelkhovsky