2017/03/05 by John H. Connell, Connell, John H.
Physics and Astronomy · #Atomic and Molecular Physics #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #hep-ph
paper · pdf · doi:10.48550/arxiv.1703.01555
arxiv created 2017/03/05 · openalex publication_date 2017/03/05 · arxiv updated 2017/03/07 · openalex created_date 2022/09/05 · openalex updated_date 2026/07/28
For muonic hydrogen, positronium, and ordinary hydrogen, we show that the existence of a relativistic two-body wave equation whose energy levels are physically accurate to order (Zα)4 (where Zα is the binding coupling constant) implies a previously unknown two-body Sommerfeld energy formula which can be used to predict energy terms to order (Zα)6 using simple algebra. Two such terms are verified to be physically correct by earlier (Zα)6 calculations for positronium. For muonic hydrogen and ordinary hydrogen, these terms are predictions.