The perfect atom: Bound states of supersymmetric quantum electrodynamics

We study hydrogen-like atoms N = 1 supersymmetric quantum electrodynamics with an electronic and a muonic family. These atoms are bound states of an anti-muon and an election or their superpartners. The exchange of a photino converts different bound states into each other We determine the energy ergenstates and calculate the spectrum to fourth order in the line structure constant A difference between these perfect atoms and non-supersymmetric ones is the absence of hyperfine structure. We organize the eigenstates into supermultiplets of the underlying symmetry algebra (C) 2010 Elsevier B V All rights reserved