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@article{0b01b10710524d94920f9014274792ba,
title = "Model-QED-operator approach to relativistic calculations of the nuclear recoil effect in many-electron atoms and ions",
abstract = "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 Breit approximation is represented by a sum of semilocal and nonlocal potentials. The latter ones are constructed by employing the diagonal and off-diagonal matrix elements rigorously evaluated for hydrogenlike ions to first order in the electron-to-nucleus mass ratio. The specific mass shift beyond the lowest-order relativistic approximation has a form which can be directly employed in calculations. The capabilities of the method are probed by comparison of its predictions with the results of ab initio QED calculations. The proposed operator can be easily incorporated into any relativistic calculation based on the Dirac-Coulomb-Breit Hamiltonian.",
author = "Анисимова, {Ирина Сергеевна} and Малышев, {Алексей Владимирович} and Глазов, {Дмитрий Алексеевич} and Кайгородов, {Михаил Юрьевич} and Кожедуб, {Юрий Сергеевич} and Шабаев, {Владимир Моисеевич} and G{\"u}nter Plunien",
year = "2022",
doi = "10.1103/PhysRevA.106.062823",
language = "English",
volume = "106",
journal = "Physical Review A - Atomic, Molecular, and Optical Physics",
issn = "1050-2947",
publisher = "American Physical Society",
number = "6",

}

RIS

TY - JOUR

T1 - Model-QED-operator approach to relativistic calculations of the nuclear recoil effect in many-electron atoms and ions

AU - Анисимова, Ирина Сергеевна

AU - Малышев, Алексей Владимирович

AU - Глазов, Дмитрий Алексеевич

AU - Кайгородов, Михаил Юрьевич

AU - Кожедуб, Юрий Сергеевич

AU - Шабаев, Владимир Моисеевич

AU - Plunien, Günter

PY - 2022

Y1 - 2022

N2 - 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 Breit approximation is represented by a sum of semilocal and nonlocal potentials. The latter ones are constructed by employing the diagonal and off-diagonal matrix elements rigorously evaluated for hydrogenlike ions to first order in the electron-to-nucleus mass ratio. The specific mass shift beyond the lowest-order relativistic approximation has a form which can be directly employed in calculations. The capabilities of the method are probed by comparison of its predictions with the results of ab initio QED calculations. The proposed operator can be easily incorporated into any relativistic calculation based on the Dirac-Coulomb-Breit Hamiltonian.

AB - 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 Breit approximation is represented by a sum of semilocal and nonlocal potentials. The latter ones are constructed by employing the diagonal and off-diagonal matrix elements rigorously evaluated for hydrogenlike ions to first order in the electron-to-nucleus mass ratio. The specific mass shift beyond the lowest-order relativistic approximation has a form which can be directly employed in calculations. The capabilities of the method are probed by comparison of its predictions with the results of ab initio QED calculations. The proposed operator can be easily incorporated into any relativistic calculation based on the Dirac-Coulomb-Breit Hamiltonian.

U2 - 10.1103/PhysRevA.106.062823

DO - 10.1103/PhysRevA.106.062823

M3 - Article

VL - 106

JO - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

SN - 1050-2947

IS - 6

M1 - 062823

ER -

ID: 104969678