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- W2612753306 abstract "We investigate roles of electron correlation effects in the determination of the $g_j$ factors of the $4s ~ ^2S_{1/2}$, $4p ~ ^2P_{1/2}$, $4p ~ ^2P_{3/2}$, $3d ~ ^2D_{3/2}$, and $3d ~ ^2D_{5/2}$ states, representing to different parities and angular momenta, of the Ca$^+$ ion. Correlation contributions are highlighted with respect to the mean-field values evaluated using the Dirac-Hartree-Fock method, relativistic second order many-body theory, and relativistic coupled-cluster (RCC) theory with the singles and doubles approximation considering only the linear terms and also accounting for all the non-linear terms. This shows that it is difficult to achieve reasonably accurate results employing an approximated perturbative approach. We also find that contributions through the non-linear terms and higher-level excitations such as triple excitations, estimated perturbatively in the RCC method, are found to be crucial to attain precise values of the $g_j$ factors in the considered states of Ca$^+$ ion." @default.
- W2612753306 created "2017-05-19" @default.
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- W2612753306 date "2017-07-17" @default.
- W2612753306 modified "2023-09-27" @default.
- W2612753306 title "Relativistic coupled-cluster-theory analysis of unusually large correlation effects in the determination of <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:msub><mml:mi>g</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:math> factors in <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:msup><mml:mrow><mml:mi>Ca</mml:mi></mml:mrow><mml:mo>+</mml:mo></mml:msup></mml:math>" @default.
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- W2612753306 doi "https://doi.org/10.1103/physreva.96.012511" @default.
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