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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…

原子物理 · 物理学 2025-03-31 Krzysztof Pachucki , Vojtěch Patkóš , Vladimir A. Yerokhin

The effect of finite nuclear mass on the magnetic-dipole transition probabilities between fine-structure levels of the same term is investigated. Based on a rigorous QED approach a nonrelativistic formula for the recoil correction to first…

原子物理 · 物理学 2009-11-13 A. V. Volotka , D. A. Glazov , G. Plunien , 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 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

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

The recoil correction to the ground state energy of hydrogenlike atoms is calculated to all orders in \alpha Z in the range Z = 1-110. The nuclear size corrections to the recoil effect are partially taken into account. In the case of…

原子物理 · 物理学 2009-10-30 V. M. Shabaev , A. N. Artemyev , T. Beier , G. Plunien , V. A. Yerokhin , G. Soff

The nuclear recoil effect on the $g$ factor of H- and Li-like heavy ions is evaluated to all orders in $\alpha Z$. The calculations include an approximate treatment of the nuclear size and the electron-electron interaction corrections to…

原子物理 · 物理学 2018-04-03 A. V. Malyshev , V. M. Shabaev , D. A. Glazov , I. I. Tupitsyn

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 relativistic nuclear recoil corrections to the energy levels of low-laying states of hydrogen-like and high $Z$ lithium-like atoms in all orders in $\alpha Z$ are calculated. The calculations are carried out using the B-spline method…

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

A calculation of two-electron QED effects to all orders in the nuclear binding strength parameter $Z\alpha$ is presented for the ground and $n = 2$ excited states of helium-like ions. After subtracting the first terms of the $Z\alpha$…

原子物理 · 物理学 2022-08-30 Vladimir A. Yerokhin , Vojtěch Patkóš , Krzysztof Pachucki

Ionization energies for the ground state of berylliumlike ions with nuclear charge numbers in the range Z=16-96 are rigorously evaluated. The calculations merge the ab initio QED treatment in the first and second orders of the perturbation…

原子物理 · 物理学 2015-07-22 A. V. Malyshev , A. V. Volotka , D. A. Glazov , I. I. Tupitsyn , V. M. Shabaev , G. Plunien

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…

Nuclear recoil corrections of order $\alpha^6\,m^2/M$ are calculated for the lowest-lying triplet states of the helium atom. It improves the theoretical prediction for the isotope shift of the $2^3S-2^3P$ transition energy and influences…

原子与分子团簇 · 物理学 2018-05-01 V. Patkos , V. A. Yerokhin , K. Pachucki

Energy levels of the $1sns$ and $1snp$ states of ions along the helium isoelectronic sequence from carbon to uranium are calculated, with $n=3$-$7$. The computation is performed within the relativistic configuration-interaction method,…

原子物理 · 物理学 2019-08-30 V. A. Yerokhin , A. Surzhykov

The nuclear recoil effect on the ground-state $g$ factor of highly charged boronlike ions is considered within the relativistic framework. The interelectronic-interaction contribution is evaluated within the Breit approximation employing…

原子物理 · 物理学 2020-01-29 D. A. Glazov , A. V. Malyshev , V. M. Shabaev , I. I. Tupitsyn

We report high-precision calculations of the nuclear recoil effect to the Lamb shift of hydrogen-like atoms to the first order in the electron-nucleus mass ratio and to all orders in the nuclear binding strength parameter $Z\alpha$. The…

原子物理 · 物理学 2015-12-15 V. A. Yerokhin , V. M. Shabaev

The strong mixing of close levels with two valence electrons in Be-like xenon greatly complicates ab initio QED calculations beyond the first-order approximation. Due to a strong interplay between the electron-electron correlation and QED…

High-precision QED calculations of the ground-state ionization energies are performed for all boronlike ions with the nuclear charge numbers in the range $16 \leqslant Z\leqslant 96$. The rigorous QED calculations are performed within the…

Rigorous quantum electrodynamical calculation is presented for energy levels of the 1^1S, 2^1S, 2^3S, 2^1P_1, and 2^3P_{0,1,2} states of helium-like ions with the nuclear charge Z=3...12. The calculational approach accounts for all…

原子物理 · 物理学 2015-05-14 Vladimir A. Yerokhin , Krzysztof Pachucki

The Dirac Hamiltonian including nuclear recoil and vacuum-polarization operators is considered in a supercritical regime Z > 137. It is found that the nuclear recoil operator derived within the Breit approximation regularizes the…

原子物理 · 物理学 2016-03-18 Ivan A. Aleksandrov , Günter Plunien , Vladimir M. Shabaev