One-Electron Energy Spectra of Heavy Highly Charged Quasimolecules: Finite-Basis-Set Approach
The generalized dual-kinetic-balance approach for axially symmetric systems is employed to solve the two-center Dirac problem. The spectra of one-electron homonuclear quasimolecules are calculated and compared with the previous calculations. The analysis of the monopole approximation with two differ...
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2021-07-01
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| author | Artem A. Kotov Dmitry A. Glazov Vladimir M. Shabaev Günter Plunien |
| author_facet | Artem A. Kotov Dmitry A. Glazov Vladimir M. Shabaev Günter Plunien |
| author_sort | Artem A. Kotov |
| collection | DOAJ |
| description | The generalized dual-kinetic-balance approach for axially symmetric systems is employed to solve the two-center Dirac problem. The spectra of one-electron homonuclear quasimolecules are calculated and compared with the previous calculations. The analysis of the monopole approximation with two different choices of the origin is performed. Special attention is paid to the lead and xenon dimers, Pb<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mrow><mn>82</mn><mo>+</mo></mrow></msup></semantics></math></inline-formula>–Pb<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mrow><mn>82</mn><mo>+</mo></mrow></msup></semantics></math></inline-formula>–e<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mo>−</mo></msup></semantics></math></inline-formula> and Xe<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mrow><mn>54</mn><mo>+</mo></mrow></msup></semantics></math></inline-formula>–Xe<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mrow><mn>54</mn><mo>+</mo></mrow></msup></semantics></math></inline-formula>–e<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mo>−</mo></msup></semantics></math></inline-formula>, where the energies of the ground and several excited <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>σ</mi></semantics></math></inline-formula>-states are presented in the wide range of internuclear distances. The developed method provides the quasicomplete finite basis set and allows for the construction of perturbation theory, including within the bound-state QED. |
| first_indexed | 2024-03-10T07:54:24Z |
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| language | English |
| last_indexed | 2024-03-10T07:54:24Z |
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| spelling | doaj.art-a3ad4a7fde074adea0aadc0d6dcf3caa2023-11-22T12:01:19ZengMDPI AGAtoms2218-20042021-07-01934410.3390/atoms9030044One-Electron Energy Spectra of Heavy Highly Charged Quasimolecules: Finite-Basis-Set ApproachArtem A. Kotov0Dmitry A. Glazov1Vladimir M. Shabaev2Günter Plunien3Department of Physics, St. Petersburg State University, 199034 St. Petersburg, RussiaDepartment of Physics, St. Petersburg State University, 199034 St. Petersburg, RussiaDepartment of Physics, St. Petersburg State University, 199034 St. Petersburg, RussiaInstitut für Theoretische Physik, Technische Universität Dresden, D-01062 Dresden, GermanyThe generalized dual-kinetic-balance approach for axially symmetric systems is employed to solve the two-center Dirac problem. The spectra of one-electron homonuclear quasimolecules are calculated and compared with the previous calculations. The analysis of the monopole approximation with two different choices of the origin is performed. Special attention is paid to the lead and xenon dimers, Pb<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mrow><mn>82</mn><mo>+</mo></mrow></msup></semantics></math></inline-formula>–Pb<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mrow><mn>82</mn><mo>+</mo></mrow></msup></semantics></math></inline-formula>–e<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mo>−</mo></msup></semantics></math></inline-formula> and Xe<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mrow><mn>54</mn><mo>+</mo></mrow></msup></semantics></math></inline-formula>–Xe<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mrow><mn>54</mn><mo>+</mo></mrow></msup></semantics></math></inline-formula>–e<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mo>−</mo></msup></semantics></math></inline-formula>, where the energies of the ground and several excited <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>σ</mi></semantics></math></inline-formula>-states are presented in the wide range of internuclear distances. The developed method provides the quasicomplete finite basis set and allows for the construction of perturbation theory, including within the bound-state QED.https://www.mdpi.com/2218-2004/9/3/44two-center Dirac equationquasimoleculesheavy-ion collisions |
| spellingShingle | Artem A. Kotov Dmitry A. Glazov Vladimir M. Shabaev Günter Plunien One-Electron Energy Spectra of Heavy Highly Charged Quasimolecules: Finite-Basis-Set Approach Atoms two-center Dirac equation quasimolecules heavy-ion collisions |
| title | One-Electron Energy Spectra of Heavy Highly Charged Quasimolecules: Finite-Basis-Set Approach |
| title_full | One-Electron Energy Spectra of Heavy Highly Charged Quasimolecules: Finite-Basis-Set Approach |
| title_fullStr | One-Electron Energy Spectra of Heavy Highly Charged Quasimolecules: Finite-Basis-Set Approach |
| title_full_unstemmed | One-Electron Energy Spectra of Heavy Highly Charged Quasimolecules: Finite-Basis-Set Approach |
| title_short | One-Electron Energy Spectra of Heavy Highly Charged Quasimolecules: Finite-Basis-Set Approach |
| title_sort | one electron energy spectra of heavy highly charged quasimolecules finite basis set approach |
| topic | two-center Dirac equation quasimolecules heavy-ion collisions |
| url | https://www.mdpi.com/2218-2004/9/3/44 |
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