Redefined vacuum approach and gauge-invariant subsets in two-photon-exchange diagrams for a closed-shell system with a valence electron

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Redefined vacuum approach and gauge-invariant subsets in two-photon-exchange diagrams for a closed-shell system with a valence electron. / Soguel, R. N.; Volotka, A. V.; Tryapitsyna, E. V.; Glazov, D. A.; Kosheleva, V. P.; Fritzsche, S.

In: Physical Review A, Vol. 103, No. 4, 042818, 20.04.2021.

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

BibTeX

@article{a39a97eb608c4571a167950624d8177e,

title = "Redefined vacuum approach and gauge-invariant subsets in two-photon-exchange diagrams for a closed-shell system with a valence electron",

abstract = "The two-photon-exchange diagrams for atoms with single valence electrons are investigated. Calculation formulas are derived for an arbitrary state within the rigorous bound-state QED framework utilizing the redefined vacuum formalism. In contrast to other methods, the redefined vacuum approach enables the identification of eight gauge-invariant subsets and, thus, efficiently checks the consistency of the obtained results. The gauge invariance of found subsets is demonstrated both analytically (for an arbitrary state) as well as numerically for 2s, 2p1/2, and 2p3/2 valence electrons in Li-like ions. Identifying gauge-invariant subsets in the framework of the proposed approach opens a way to tackle more complex diagrams, e.g., three-photon exchange, where the fragmentation on simpler subsets is crucial for its successful calculation.",

keywords = "TRANSITION",

author = "Soguel, {R. N.} and Volotka, {A. V.} and Tryapitsyna, {E. V.} and Glazov, {D. A.} and Kosheleva, {V. P.} and S. Fritzsche",

year = "2021",

month = apr,

day = "20",

doi = "10.1103/physreva.103.042818",

language = "English",

volume = "103",

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

issn = "1050-2947",

publisher = "American Physical Society",

number = "4",

}

RIS

TY - JOUR

T1 - Redefined vacuum approach and gauge-invariant subsets in two-photon-exchange diagrams for a closed-shell system with a valence electron

AU - Soguel, R. N.

AU - Volotka, A. V.

AU - Tryapitsyna, E. V.

AU - Glazov, D. A.

AU - Kosheleva, V. P.

AU - Fritzsche, S.

PY - 2021/4/20

Y1 - 2021/4/20

N2 - The two-photon-exchange diagrams for atoms with single valence electrons are investigated. Calculation formulas are derived for an arbitrary state within the rigorous bound-state QED framework utilizing the redefined vacuum formalism. In contrast to other methods, the redefined vacuum approach enables the identification of eight gauge-invariant subsets and, thus, efficiently checks the consistency of the obtained results. The gauge invariance of found subsets is demonstrated both analytically (for an arbitrary state) as well as numerically for 2s, 2p1/2, and 2p3/2 valence electrons in Li-like ions. Identifying gauge-invariant subsets in the framework of the proposed approach opens a way to tackle more complex diagrams, e.g., three-photon exchange, where the fragmentation on simpler subsets is crucial for its successful calculation.

AB - The two-photon-exchange diagrams for atoms with single valence electrons are investigated. Calculation formulas are derived for an arbitrary state within the rigorous bound-state QED framework utilizing the redefined vacuum formalism. In contrast to other methods, the redefined vacuum approach enables the identification of eight gauge-invariant subsets and, thus, efficiently checks the consistency of the obtained results. The gauge invariance of found subsets is demonstrated both analytically (for an arbitrary state) as well as numerically for 2s, 2p1/2, and 2p3/2 valence electrons in Li-like ions. Identifying gauge-invariant subsets in the framework of the proposed approach opens a way to tackle more complex diagrams, e.g., three-photon exchange, where the fragmentation on simpler subsets is crucial for its successful calculation.

KW - TRANSITION

UR - http://www.scopus.com/inward/record.url?scp=85105048485&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/fe5cbbe1-54dd-30aa-a277-fcaa6da56c53/

U2 - 10.1103/physreva.103.042818

DO - 10.1103/physreva.103.042818

M3 - Article

AN - SCOPUS:85105048485

VL - 103

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

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

SN - 1050-2947

IS - 4

M1 - 042818

ER -

ID: 76915558