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Within a systematic approach based on nonrelativistic quantum electrodynamics (NRQED), we derive the one-loop self-energy correction of order alpha (Zalpha)^4 to the bound-electron g factor. In combination with numerical data, this analytic…

High Energy Physics - Phenomenology · Physics 2007-05-23 K. Pachucki , U. D. Jentschura , V. A. Yerokhin

The nuclear recoil correction to the g factor of boronlike ions is evaluated within the lowest-order relativistic (Breit) approximation. The interelectronic-interaction effects are taken into account to the first order of the perturbation…

Atomic Physics · Physics 2018-07-23 D. A. Glazov , A. V. Malyshev , V. M. Shabaev , I. I. Tupitsyn

Two-loop QED corrections with closed fermion loops are calculated for the 1s bound-electron g factor. Calculations are performed to all orders in the nuclear binding strength parameter Z\alpha (where Z is the nuclear charge and \alpha is…

Atomic Physics · Physics 2015-06-16 V. A. Yerokhin , Z. Harman

The total two-photon decay rate of hydrogen-like ions is studied using relativistic quantum electrodynamics. In particular, we analyse how finite nuclear size and QED vacuum polarization corrections affect the decay rate. To calculate these…

Atomic Physics · Physics 2020-10-21 J. Sommerfeldt , R. A. Müller , A. V. Volotka , S. Fritzsche , A. ~Surzhykov

The nuclear recoil effect to the g factor of boron-like ions is investigated. The one-photon-exchange correction to the nuclear recoil effect is calculated in the non-relativistic approximation for the nuclear recoil operator and in the…

Formulas for the combined nuclear-recoil and finite-nuclear-size effects of order $(Z\,\alpha)^5$ and $(Z\,\alpha)^6$ are derived without any expansion in the nuclear charge radius $r_C$, making them applicable to both electronic and muonic…

Atomic Physics · Physics 2025-03-31 Krzysztof Pachucki , Vojtěch Patkóš , Vladimir A. Yerokhin

The nuclear recoil effect on the $g$ factor of the ground state of highly charged B-like ions is studied to first order in the electron-to-nucleus mass ratio $m/M$. The leading one-electron and two-electron recoil contributions are…

Atomic Physics · Physics 2019-01-02 I. A. Aleksandrov , D. A. Glazov , A. V. Malyshev , V. M. Shabaev , I. I. Tupitsyn

We derive finite nuclear mass and finite nuclear size corrections to the magnetic shielding in light ions. These corrections are important for the accurate determination of nuclear magnetic moments. We correct several previous formulas for…

Chemical Physics · Physics 2023-12-06 Krzysztof Pachucki

The nuclear recoil effect on the $^2 P_{3/2}$-state $g$ factor of B-like ions is calculated to first order in the electron-to-nucleus mass ratio $m/M$ in the range $Z=18$--$92$. The calculations are performed by means of the $1/Z$…

Atomic Physics · Physics 2020-05-20 A. V. Malyshev , D. A. Glazov , I. A. Aleksandrov , I. I. Tupitsyn , V. M. Shabaev

We compute corrections to the gyromagnetic factor of an electron bound in a hydrogen-like ion at order alpha^2(Z alpha)^5. This result removes a major uncertainty in predictions for silicon and carbon ions, used to determine the atomic mass…

Atomic Physics · Physics 2018-01-31 Andrzej Czarnecki , Matthew Dowling , Jan Piclum , Robert Szafron

Darwin-Foldy nuclear-size corrections in electronic atoms and nuclear radii are discussed from the nuclear-physics perspective. Interpretation of precise isotope-shift measurements is formalism dependent, and care must be exercised in…

Nuclear Theory · Physics 2008-11-26 J. L. Friar , J. Martorell , D. W. L. Sprung

The radiative self-energy correction to the bound-electron g factor of 2P_1/2 and 2P_3/2 states in one-electron ions is evaluated to order alpha (Z alpha)^2. The contribution of high-energy virtual photons is treated by means of an…

Atomic Physics · Physics 2012-07-06 U. D. Jentschura

It is shown that, in the self-consistent quantum statistical Hartree-Fock approximation, the number of electronic states localized on one nucleus is finite. This result is obtained on the basis of the general electron-nuclear model of…

Statistical Mechanics · Physics 2010-06-14 V. B. Bobrov , S. A. Trigger

A systematic investigation of the nuclear-polarization effects in one- and few-electron heavy ions is presented. The nuclear-polarization corrections in the zeroth and first orders in $1/Z$ are evaluated to the binding energies, the…

Atomic Physics · Physics 2015-04-23 Andrey V. Volotka , Günter Plunien

A critical set of two-loop QED corrections to the $g$ factor of hydrogenlike ions is calculated without expansion in the nuclear binding field. These corrections are due to the polarization of the external magnetic field by the quantum…

Atomic Physics · Physics 2021-03-17 V. Debierre , B. Sikora , H. Cakir , N. S. Oreshkina , V. A. Yerokhin , C. H. Keitel , Z. Harman

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…

Chemical Physics · Physics 2015-05-14 Krzysztof Pachucki

The accurate determination of atomic masses and the high-precision measurement of the bound-electron g factor are prerequisites for the determination of the electron mass, which is one of the fundamental constants of nature. In the 2002…

Atomic Physics · Physics 2007-05-23 U. D. Jentschura , A. Czarnecki , K. Pachucki , V. A. Yerokhin

The Lande g factor describes the response of an atomic energy level to an external perturbation by a uniform and constant magnetic field. In the case of many-electron systems, the leading term is given by the interaction mu_B*(L+2S.B),…

Atomic Physics · Physics 2012-09-25 M. Puchalski , U. D. Jentschura

The nuclear recoil effect on the g factor of highly charged Li-like ions is evaluated in the range Z=10-92. The calculations are performed using the 1/Z perturbation theory. The one-electron recoil contribution is evaluated within the fully…

Atomic Physics · Physics 2018-10-02 V. M. Shabaev , D. A. Glazov , A. V. Malyshev , I. I. Tupitsyn

Probability of finding negative energy states in a hydrogen atom is decreased when the nucleus is extended. Reduced electron Compton wavelength is the characteristic size of the region around the nucleus where negative energy contributions…

High Energy Physics - Phenomenology · Physics 2022-07-18 Andrzej Czarnecki