Muonium spectrum beyond the nonrelativistic limit

Abstract

A generalization of the Gell-Mann-Low theorem is applied to the antimuon-electron system. The bound state spectrum is extracted numerically. As a result, fine and hyperfine structure are reproduced correctly near the nonrelativistic limit (and for arbitrary masses). We compare the spectrum for the relativistic value alpha = 0.3 with corresponding calculations in light-front quantization.

6 pages, LaTeX, 2 figures, uses aipxfm.sty. Talk delivered at the XI Mexican Workshop on Particles and Fields, Tuxtla Gutierrez, Mexico, November 7-12, 2007; to be published in the proceedings