True Muonium $({\mu }^{+}{\mu }^{-})$ on the Light Front

Abstract

Applying Discretized Light Cone Quantization, we perform the first calculation of the spectrum of true muonium, the ${\mu }^{+}{\mu }^{-}$ atom, as modified by the inclusion of an $|e\bar{e}>$ Fock component. The shift in the mass eigenvalue is found to be largest for triplet states. If $m_e$ is taken to be a substantial fraction of $m_{\mu }$, the integrated probability of the electronic component of the $1{}^3/!S_1$ state is found to be as large as $O(10^{-2})$. Initial studies of the Lamb shift for the atom are performed. Directions for making the simulations fully realistic are discussed.

Comments: 13 pages, ReVTeX, pdflatex, 11 eps figures (also included as pdf figures), 4 tables. Version accepted by J. Phys. G