Quantum electrodynamics corrections to the 2P fine splitting in Li

Area of Science:

• Atomic Physics
• Quantum Electrodynamics (QED)
• Computational Chemistry

Background:

• Fine splitting in atomic spectra is crucial for testing fundamental theories.
• Previous calculations of QED corrections in lithium atoms showed discrepancies.
• Understanding these corrections is key for high-precision atomic spectroscopy.

Purpose of the Study:

• To accurately calculate quantum electrodynamics (QED) corrections to the fine splitting E(2P_{3/2})-E(2P_{1/2}) in the lithium atom.
• To resolve existing discrepancies in theoretical predictions for lithium's fine structure.
• To establish a foundation for future investigations of QED effects in light, many-electron systems.

Main Methods:

• Derivation of complete formulas for mα⁶ and mα⁷lnα contributions.
• Numerical calculation using highly optimized, explicitly correlated basis functions.
• Comparison of theoretical results with recent experimental measurements.

Main Results:

• Precise calculation of QED corrections for the specified lithium atom transition.
• Achieved agreement with the most recent experimental measurement.
• Quantified the mα⁶ and mα⁷lnα contributions to the fine splitting.

Conclusions:

• The study successfully resolved discrepancies in theoretical predictions for lithium's fine structure.
• The obtained results validate the accuracy of the derived formulas and computational methods.
• This work provides a crucial foundation for future research into QED effects in light, many-electron atoms.