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.
 Publication:

arXiv eprints
 Pub Date:
 November 2013
 arXiv:
 arXiv:1311.3245
 Bibcode:
 2013arXiv1311.3245L
 Keywords:

 High Energy Physics  Phenomenology;
 Nuclear Theory
 EPrint:
 13 pages, ReVTeX, pdflatex, 11 eps figures (also included as pdf figures), 4 tables. Version accepted by J. Phys. G