This research proposes a rigorous methodology applying the Gaussian basis set method to vacuum polarization calculations in muonic atoms, crucial for testing QED in strong electromagnetic fields and extracting nuclear charge radii with high precision.
Key findings
Develops even-tempered Gaussian basis sets optimized for muonic wave functions.
Non-perturbative calculation of Wichmann-Kroll contribution to all orders in Zα.
Proper treatment of Uehling potential within the finite basis framework.
Incorporates finite nuclear size effects using realistic nuclear charge distributions.
Extrapolation procedures to the complete basis set limit for enhanced accuracy.
Limitations & open questions
The proposal outlines a comprehensive approach but does not yet include experimental validation or comparison with existing methods.