Abstract:
The hadronic vacuum polarization correction to the 𝑔 factor of a bound electron is investigated theoretically. An effective hadronic Uehling potential obtained from measured cross sections of 𝑒−𝑒+ annihilation into hadrons is employed to calculate 𝑔-factor corrections for low-lying hydrogenic levels. Analytical Dirac-Coulomb wave functions, as well as bound wave functions accounting for the finite nuclear radius are used. Closed formulas for the 𝑔-factor shift in the case of a point-like nucleus are derived. In heavy ions, such effects are found to be much larger than for the free-electron 𝑔 factor.
E. Dizer, Z. Harman, „Hadronic vacuum polarization correction to the bound-electron g factor“,
Phys. Rev. A 108, 042808 (2023).
https://journals.aps.org/pra/abstract/10.1103/PhysRevA.108.042808
Related to Project B02