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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

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

The electron-electron interaction correction of first order in $1/Z$ to the one-electron part of the nuclear recoil effect on binding energies in atoms and ions is considered within the framework of the rigorous QED approach. The…

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

The nuclear recoil effect on the $g$ factor of Li-like ions is evaluated. The one-electron recoil contribution is treated within the framework of the rigorous QED approach to first order in the electron-to-nucleus mass ratio $m/M$ and to…

Atomic Physics · Physics 2018-01-03 V. M. Shabaev , D. A. Glazov , A. V. Malyshev , I. I. Tupitsyn

Fully relativistic approach is applied to evaluation of the nuclear recoil effect on the bound-electron $g$ factor in hydrogenlike ions to first order in the electron-to-nucleus mass ratio $m/M$ and to all orders in $\alpha Z$. The…

Atomic Physics · Physics 2020-01-29 A. V. Malyshev , D. A. Glazov , V. M. Shabaev

The quantum electrodynamics formalism to treat the interelectronic-interaction correction of first order in $1/Z$ to the two-electron part of the nuclear recoil effect on binding energies in atoms and ions is developed. The nonperturbative…

Atomic Physics · Physics 2019-07-24 A. V. Malyshev , I. S. Anisimova , D. V. Mironova , V. M. Shabaev , G. Plunien

The quantum electrodynamic theory of the nuclear recoil effect in atoms to all orders in \alpha Z and to first order in m/M is considered. The complete \alpha Z - dependence formulas for the relativistic recoil corrections to the atomic…

Atomic Physics · Physics 2007-05-23 V. M. Shabaev

The quantum electrodynamic theory of the nuclear recoil effect on the atomic g factor to all orders in \alpha Z and to first order in m/M is formulated. The complete \alpha Z-dependence formula for the recoil correction to the…

Atomic Physics · Physics 2009-11-07 V. M. Shabaev

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

The nuclear recoil effect, known also as the mass shift, is one of theoretical contributions to the energy levels in muonic atoms. Accurate theoretical predictions are therefore needed for extracting e.g. the nuclear charge radii from…

Atomic Physics · Physics 2023-12-08 Vladimir A. Yerokhin , Natalia S. Oreshkina

The nuclear recoil correction to the bound-electron g factor in H-like atoms is calculated to first order in $m/M$ and to all orders in $\alpha Z$. The calculation is performed in the range Z=1-100. A large contribution of terms of order…

Atomic Physics · Physics 2016-09-08 V. M. Shabaev , V. A. Yerokhin

A model-operator approach to fully relativistic calculations of the nuclear recoil effect on energy levels in many-electron atomic systems is worked out. The one-electron part of the model operator for treating the normal mass shift beyond…

The relativistic nuclear recoil, higher-order interelectronic-interaction, and screened QED corrections to the transition energies in Li-like ions are evaluated. The calculation of the relativistic recoil effect is performed to all orders…

We perform ab initio QED calculations of energy levels for the $n=1$ and $n=2$ states of He-like ions with the nuclear charge in the range $Z = 12$-100. The complete set of two-electron QED corrections is evaluated to all orders in the…

Atomic Physics · Physics 2009-11-11 A. N. Artemyev , V. M. Shabaev , V. A. Yerokhin , G. Plunien , G. Soff

We present a detailed investigation of the leading-order $m\alpha^5$ QED correction with inclusion of the finite-nuclear-mass effects. Previously, this correction had been calculated within an expansion in the electron-nucleus mass ratio…

Atomic Physics · Physics 2025-12-05 Krzysztof Pachucki , Vojtěch Patkóš , Vladimir A. Yerokhin

The effect of a finite nuclear mass on the magnetic moment of the electron bound in the ground state of a hydrogen-like ion is analyzed. Using the exact in Z\alpha expression for the recoil shift of the energy, I calculate the order…

High Energy Physics - Phenomenology · Physics 2007-05-23 Alexander Yelkhovsky

The finite nuclear size corrections to the relativistic recoil effect in H-like ions are calculated within the Breit approximation. The calculations are performed for the $1s$, $2s$, and $2p_{1/2}$ states in the range $Z =$ 1-110. The…

Atomic Physics · Physics 2015-11-17 I. A. Aleksandrov , A. A. Shchepetnov , D. A. Glazov , V. M. Shabaev

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…

Atomic Physics · Physics 2019-12-18 Y. S. Kozhedub , A. V. Malyshev , D. A. Glazov , V. M. Shabaev , I. I. Tupitsyn

The quantum electrodynamic theory of the nuclear recoil effect in atoms to all orders in \alpha Z is formulated. The nuclear recoil corrections for atoms with one and two electrons over closed shells are considered in detail. The problem of…

Atomic Physics · Physics 2008-11-26 V. M. Shabaev
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