Model-QED operator for superheavy elements

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Model-QED operator for superheavy elements. / Malyshev, A. V.; Glazov, D. A.; Shabaev, V. M.; Tupitsyn, I. I.; Yerokhin, V. A.; Zaytsev, V. A.

In: Physical Review A, Vol. 106, No. 1, 012806, 12.07.2022.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{f4ce799ca74c43a4951fcdd22c80c73d,

title = "Model-QED operator for superheavy elements",

abstract = "The model-QED-operator approach [V. M. Shabaev, I. I. Tupitsyn, and V. A. Yerokhin, Phys. Rev. A 88, 012513 (2013)PLRAAN1050-294710.1103/PhysRevA.88.012513] to calculations of the radiative corrections to binding and transition energies in atomic systems is extended to the range of nuclear charges 110≤Z≤170. The self-energy part of the model operator is represented by a nonlocal potential based on diagonal and off-diagonal matrix elements of the ab initio self-energy operator with the Dirac-Coulomb wave functions. The vacuum-polarization part consists of the Uehling contribution, which is readily computed for an arbitrary nuclear-charge distribution and the Wichmann-Kroll contribution represented in terms of matrix elements similarly to the self-energy part. The performance of the method is studied by comparing the model-QED-operator predictions with the results of ab initio calculations. The model-QED operator can be conveniently incorporated in any numerical approach based on the Dirac-Coulomb-Breit Hamiltonian to account for the QED effects in a wide variety of superheavy elements.",

author = "Malyshev, {A. V.} and Glazov, {D. A.} and Shabaev, {V. M.} and Tupitsyn, {I. I.} and Yerokhin, {V. A.} and Zaytsev, {V. A.}",

note = "Publisher Copyright: {\textcopyright} 2022 American Physical Society.",

year = "2022",

month = jul,

day = "12",

doi = "10.1103/physreva.106.012806",

language = "English",

volume = "106",

journal = "Physical Review A - Atomic, Molecular, and Optical Physics",

issn = "1050-2947",

publisher = "American Physical Society",

number = "1",

}

RIS

TY - JOUR

T1 - Model-QED operator for superheavy elements

AU - Malyshev, A. V.

AU - Glazov, D. A.

AU - Shabaev, V. M.

AU - Tupitsyn, I. I.

AU - Yerokhin, V. A.

AU - Zaytsev, V. A.

PY - 2022/7/12

Y1 - 2022/7/12

N2 - The model-QED-operator approach [V. M. Shabaev, I. I. Tupitsyn, and V. A. Yerokhin, Phys. Rev. A 88, 012513 (2013)PLRAAN1050-294710.1103/PhysRevA.88.012513] to calculations of the radiative corrections to binding and transition energies in atomic systems is extended to the range of nuclear charges 110≤Z≤170. The self-energy part of the model operator is represented by a nonlocal potential based on diagonal and off-diagonal matrix elements of the ab initio self-energy operator with the Dirac-Coulomb wave functions. The vacuum-polarization part consists of the Uehling contribution, which is readily computed for an arbitrary nuclear-charge distribution and the Wichmann-Kroll contribution represented in terms of matrix elements similarly to the self-energy part. The performance of the method is studied by comparing the model-QED-operator predictions with the results of ab initio calculations. The model-QED operator can be conveniently incorporated in any numerical approach based on the Dirac-Coulomb-Breit Hamiltonian to account for the QED effects in a wide variety of superheavy elements.

AB - The model-QED-operator approach [V. M. Shabaev, I. I. Tupitsyn, and V. A. Yerokhin, Phys. Rev. A 88, 012513 (2013)PLRAAN1050-294710.1103/PhysRevA.88.012513] to calculations of the radiative corrections to binding and transition energies in atomic systems is extended to the range of nuclear charges 110≤Z≤170. The self-energy part of the model operator is represented by a nonlocal potential based on diagonal and off-diagonal matrix elements of the ab initio self-energy operator with the Dirac-Coulomb wave functions. The vacuum-polarization part consists of the Uehling contribution, which is readily computed for an arbitrary nuclear-charge distribution and the Wichmann-Kroll contribution represented in terms of matrix elements similarly to the self-energy part. The performance of the method is studied by comparing the model-QED-operator predictions with the results of ab initio calculations. The model-QED operator can be conveniently incorporated in any numerical approach based on the Dirac-Coulomb-Breit Hamiltonian to account for the QED effects in a wide variety of superheavy elements.

UR - http://www.scopus.com/inward/record.url?scp=85135583748&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/04157c05-bbdd-3651-bfe5-9dc5b30b47e8/

U2 - 10.1103/physreva.106.012806

DO - 10.1103/physreva.106.012806

M3 - Article

AN - SCOPUS:85135583748

VL - 106

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

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

SN - 1050-2947

IS - 1

M1 - 012806

ER -

ID: 97810544