High-precision calculations of the $1s^{2}2s2p$ ${}^1{P}_1\to 1s^{2}2s^2$ ${}^1{S}_0$ spin-allowed $E1$ transition in C {\small III}

Abstract

Large-scale relativistic calculations are performed for the transition energy and line strength of the $1s^{2}2s2p$ ${}^1{P}_1-1s^{2}2s^2$ ${}^1{S}_0$ transition in Be-like carbon. Based on the multiconfiguration Dirac-Hartree-Fock~(MCDHF) approach, different correlation models are developed to account for all major electron-electron correlation contributions. These correlation models are tested with various sets of the initial and the final state wave functions. The uncertainty of the predicted line strength due to missing correlation effects is estimated from the differences between the results obtained with those models. The finite nuclear mass effect is accurately calculated taking into account the energy, wave functions as well as operator contributions. As a result, a reliable theoretical benchmark of the $E1$ line strength is provided to support high precision lifetime measurement of the $1s^{2}2s2p$ ${}^1{P}_1$ state in Be-like carbon.

References in corpus (4)

• Interelectronic-interaction effect on the transition probability in high-Z He-like ions
• Precision lifetime measurement of the cesium $6P_{3/2}$ level using ultrafast pump-probe laser pulses
• Multiconfiguration calculations of electronic isotope shift factors in Al I
• Nuclear recoil effect on the magnetic-dipole decay rates of atomic levels