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Higher-Order QED Corrections to the Hyperfine Splitting in ^{3}He.
Vojtěch Patkóš1, Vladimir A Yerokhin2,3, Krzysztof Pachucki3
1Charles University, Ke Karlovu 3, 121 16 Prague 2, Czech Republic.
Physical Review Letters
|November 17, 2023
Summary
We precisely calculated the hyperfine splitting for the helium-3 atom, achieving a 40-fold increase in accuracy. This advancement offers the most accurate theoretical prediction for non-hydrogenous systems to date.
Area of Science:
- Atomic Physics
- Quantum Electrodynamics (QED)
Background:
- Hyperfine splitting is a fundamental property of atoms.
- Previous calculations for helium-3 lacked the precision to match experimental data.
Purpose of the Study:
- To calculate the hyperfine splitting of the 2^{3}S state in the helium-3 atom with unprecedented accuracy.
- To incorporate all quantum electrodynamic (QED) effects up to α^{3}E_{F}.
Main Methods:
- Inclusion of all QED effects up to α^{3}E_{F}.
- Utilizing the experimental value of the 1S hyperfine splitting in helium-3 ion (³He⁺) to resolve nuclear structure uncertainties.
Main Results:
- The theoretical prediction for the helium-3 hyperfine splitting is νhfs = -6,739,701,181(41) Hz.
- This result shows perfect agreement with the experimental value.
- Achieved a 40-fold improvement in precision compared to prior theoretical predictions.
Conclusions:
- The study provides the most accurate theoretical prediction for a non-hydrogenous system.
- The high precision validates the theoretical framework and QED calculations for complex atomic systems.
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