The Perfect Atom: Bound States of Supersymmetric Quantum Electrodynamics

Details The Perfect Atom: Bound States of Supersymmetric Quantum Electrodynamics The Perfect Atom: Bound States of Supersymmetric Quantum Electrodynamics

2009-12-04

arxiv.org/abs/0912.0733v3

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, 2 figures. v2: mistake associated with gauge choice fixed, references added. v3: comment about super-positronium add

Scientific paper

We study hydrogen-like atoms in N=1 supersymmetric quantum electrodynamics with an electronic and a muonic family. These atoms are bound states of an anti-muon and an electron or their superpartners. The exchange of a photino converts different bound states into each other. We determine the energy eigenstates and calculate the spectrum to fourth order in the fine structure constant. A difference between these perfect atoms and non-supersymmetric ones is the absence of hyperfine structure. We organize the eigenstates into super multiplets of the underlying symmetry algebra.

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