High Resolution Nonperturbative Light-Front Simulations of the True Muonium Atom

Understand

Through the development of a parallel code called TMSWIFT, an extensive light-front quantization study of the nonperturbative spectrum of the bound state $(\mu^+\mu^-)$, true muonium, has been performed.

• Using Pad\'{e} approximants, it has been possible to extract continuum and infinite-cutoff limits for the singlet and triplet states for a range of values of the coupling constant $\alpha$.
• This data set allows for an investigation of the $\alpha$ dependence of the light-front spectra, the results of which are compared to standard calculations.
• Decay constants have also been obtained.