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Malyshev AV, Glazov DA, Kozhedub YS, Anisimova IS, Kaygorodov MY, Shabaev VM, Tupitsyn II. Ab initio Calculations of Energy Levels in Be-Like Xenon: Strong Interference between Electron-Correlation and QED Effects. PHYSICAL REVIEW LETTERS 2021; 126:183001. [PMID: 34018778 DOI: 10.1103/physrevlett.126.183001] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/02/2020] [Revised: 02/24/2021] [Accepted: 03/29/2021] [Indexed: 06/12/2023]
Abstract
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. Because of a strong interplay between the electron-electron correlation and QED effects, the standard single-level perturbative QED approach may fail, even if it takes into account the second-order screened QED diagrams. In the present Letter, the corresponding obstacles are overcome by working out the QED perturbation theory for quasidegenerate states. The contributions of all the Feynman diagrams up to the second order are taken into account. The many-electron QED effects are rigorously evaluated in the framework of the extended Furry picture to all orders in the nuclear-strength parameter αZ. The higher-order electron-correlation effects are considered within the Breit approximation. The nuclear recoil effect is accounted for as well. The developed approach is applied to high-precision QED calculations of the ground and singly excited energy levels in Be-like xenon. The most accurate theoretical predictions for the binding and excitation energies are obtained. These results deviate from the most precise experimental value by 3σ but perfectly agree with a more recent measurement.
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Affiliation(s)
- A V Malyshev
- Department of Physics, St. Petersburg State University, Universitetskaya 7/9, 199034 St. Petersburg, Russia
| | - D A Glazov
- Department of Physics, St. Petersburg State University, Universitetskaya 7/9, 199034 St. Petersburg, Russia
| | - Y S Kozhedub
- Department of Physics, St. Petersburg State University, Universitetskaya 7/9, 199034 St. Petersburg, Russia
| | - I S Anisimova
- Department of Physics, St. Petersburg State University, Universitetskaya 7/9, 199034 St. Petersburg, Russia
| | - M Y Kaygorodov
- Department of Physics, St. Petersburg State University, Universitetskaya 7/9, 199034 St. Petersburg, Russia
| | - V M Shabaev
- Department of Physics, St. Petersburg State University, Universitetskaya 7/9, 199034 St. Petersburg, Russia
| | - I I Tupitsyn
- Department of Physics, St. Petersburg State University, Universitetskaya 7/9, 199034 St. Petersburg, Russia
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Lindroth E, Danared H, Glans P, Pesić Z, Tokman M, Vikor G, Schuch R. QED effects in Cu-like Pb recombination resonances near threshold. PHYSICAL REVIEW LETTERS 2001; 86:5027-5030. [PMID: 11384412 DOI: 10.1103/physrevlett.86.5027] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/22/2000] [Indexed: 05/23/2023]
Abstract
In an electron-ion recombination study with Pb53+ dielectronic recombination resonances are found for as low as approximately 10(-3)-10(-4) eV relative energy. The resonances have been calculated by relativistic many-body perturbation theory and through comparison with experiment the Pb53+(4p(1/2)-4s(1/2)) energy splitting of approximately 118 eV is determined with an accuracy comparable to the position of the first few resonances, i.e., approximately 10(-3) eV. Such a precision provides a test of QED in a many-body environment at a level which can still not be reached in calculations.
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Affiliation(s)
- E Lindroth
- Department of Atomic Physics, Stockholm University, Frescativägen 24, SE-104 05 Stockholm, Sweden
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Löwdin PO. Some Aspects on the Bloch-Lindgren Equation and A Comparison with the Partitioning Technique. ADVANCES IN QUANTUM CHEMISTRY 1998. [DOI: 10.1016/s0065-3276(08)60520-1] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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Kaldor U, Eliav E. High-Accuracy Calculations for Heavy and Super-Heavy Elements. ADVANCES IN QUANTUM CHEMISTRY 1998. [DOI: 10.1016/s0065-3276(08)60194-x] [Citation(s) in RCA: 73] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/23/2022]
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Safronova MS, Johnson WR, Safronova UI. Relativistic many-body calculations of the energies of n=2 states for the berylliumlike isoelectronic sequence. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1996; 53:4036-4053. [PMID: 9913369 DOI: 10.1103/physreva.53.4036] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Lindroth E, Mårtensson-Pendrill A. (2p2)1S state of beryllium. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1996; 53:3151-3156. [PMID: 9913256 DOI: 10.1103/physreva.53.3151] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Mårtensson-Pendrill A, Lindgren I, Lindroth E, Salomonson S, Staudte DS. Convergence of relativistic perturbation theory for the 1s2p states in low-Z heliumlike systems. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1995; 51:3630-3635. [PMID: 9912029 DOI: 10.1103/physreva.51.3630] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Lindgren I, Persson H, Salomonson S, Labzowsky L. Full QED calculations of two-photon exchange for heliumlike systems: Analysis in the Coulomb and Feynman gauges. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1995; 51:1167-1195. [PMID: 9911698 DOI: 10.1103/physreva.51.1167] [Citation(s) in RCA: 116] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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Ishikawa Y, Koc K. Relativistic many-body perturbation theory based on the no-pair Dirac-Coulomb-Breit Hamiltonian: Relativistic correlation energies for the noble-gas sequence through Rn (Z=86), the group-IIB atoms through Hg, and the ions of Ne isoelectronic sequence. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1994; 50:4733-4742. [PMID: 9911470 DOI: 10.1103/physreva.50.4733] [Citation(s) in RCA: 23] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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10
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Eliav E, Kaldor U, Ishikawa Y. Ionization potentials and excitation energies of the alkali-metal atoms by the relativistic coupled-cluster method. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1994; 50:1121-1128. [PMID: 9911001 DOI: 10.1103/physreva.50.1121] [Citation(s) in RCA: 42] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Lindroth E. Calculation of doubly excited states of helium with a finite discrete spectrum. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1994; 49:4473-4480. [PMID: 9910763 DOI: 10.1103/physreva.49.4473] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Eliav E, Kaldor U, Ishikawa Y. Open-shell relativistic coupled-cluster method with Dirac-Fock-Breit wave functions: Energies of the gold atom and its cation. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1994; 49:1724-1729. [PMID: 9910422 DOI: 10.1103/physreva.49.1724] [Citation(s) in RCA: 107] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Lindgren I, Persson H, Salomonson S, Ynnerman A. Bound-state self-energy calculation using partial-wave renormalization. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1993; 47:R4555-R4558. [PMID: 9909561 DOI: 10.1103/physreva.47.r4555] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Lindroth E, Ynnerman A. Ab initio calculations of gj factors for Li, Be+, and Ba+. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1993; 47:961-970. [PMID: 9909016 DOI: 10.1103/physreva.47.961] [Citation(s) in RCA: 45] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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Marques JP, Parente F, Indelicato P. Hyperfine quenching of the 1s22s2p 3P0 level in berylliumlike ions. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1993; 47:929-935. [PMID: 9909013 DOI: 10.1103/physreva.47.929] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Indelicato P, Lindroth E. Relativistic effects, correlation, and QED corrections on K alpha transitions in medium to very heavy atoms. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1992; 46:2426-2436. [PMID: 9908399 DOI: 10.1103/physreva.46.2426] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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