Research output: Contribution to journal › Article › peer-review
Model-QED-operator approach to relativistic calculations of the nuclear recoil effect in many-electron atoms and ions. / Анисимова, Ирина Сергеевна; Малышев, Алексей Владимирович; Глазов, Дмитрий Алексеевич; Кайгородов, Михаил Юрьевич; Кожедуб, Юрий Сергеевич; Шабаев, Владимир Моисеевич; Plunien, Günter.
In: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 106, No. 6, 062823, 2022.Research output: Contribution to journal › Article › peer-review
}
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