Precision theory of muonic hydrogen and other light hydrogen-like atoms

• Applicant: Professor Dr. Theodor W. Hänsch
• Subject Area: Optics, Quantum Optics and Physics of Atoms, Molecules and Plasmas
• Term: from 2013 to 2018
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 242863869

• Final Report Year: 2018

Final Report Abstract

The purpose of the project was to consider the Lamb shift in muonic hydrogen, energy levels in other muonic atoms and the hyperfine interval in muonium, as well as the anomalous magnetic moment of muon. We focus on those observables because in some of them there have been observed certain discrepancies. We have studied theory of the Lamb shift in muonic hydrogen and other muonic atoms with the nuclear spin 1/2. For the former we prepared a review, where we reevaluated most of the known QED contributions for muonic hydrogen, and pay a special attention to estimation due to the uncertainty of nuclear structure effects. The QED results were generalized to the other light muonic atoms with the nuclear spin 1/2 and in particular in muonic tritium and muonic helium-3 ion. We also discuss there the accuracy of the nuclear-structure contributions. Additionally we have studied some contributions fort other muonic atoms, muonium and positronium. We also studied new data relevant for the evaluation of the hadronic contribution to the anomalous magnetic moment of muon.

Publications

• Constraints on muonspecific dark forces, Physical Review, v. D 90, 073004 (2014)
  S.G. Karshenboim, D. McKeen, and M. Pospelov
  
• Hard nonlogarithmic corrections of order mα7 to hyperfine splitting in positronium, Phys. Rev. D 89, 111301(R) (2014)
  M.I. Eides and V. A. Shelyuto
  
• Light-by-light scattering nonlogarithmic corrections to hyperfine splitting in muonium, Phys. Rev. D 89, 014034 (2014)
  M.I. Eides and V. A. Shelyuto
  
• Model-independent determination of the magnetic radius of the proton from spectroscopy of ordinary and muonic hydrogen, Physical Review, v. D 90, 053013 (2014)
  S.G. Karshenboim
  
• Self-consistent value of the electric radius of the proton from the Lamb shift in muonic hydrogen, Physical Review, v. D 90, 053012 (2014)
  S.G. Karshenboim
  
• Lamb shift of electronic states in neutral muonic helium, an electron-muon-nucleus system, Physical Review, v. A91, 032510 (2015)
  S.G. Karshenboim, V.G. Ivanov, and M. Amusia
  
• Recoil correction to the proton finite-size contribution to the Lamb shift in muonic hydrogen, Physical Review, v. D91, 073003 (2015)
  S.G. Karshenboim, E.Yu. Korzinin, V.A. Shelyuto, and V.G. Ivanov
  
• Theory of Lamb shift in muonic hydrogen, Journal of Physical and Chemical Reference Data, v. 44, 031202 (2015)
  S. Karshenboim, E.Yu. Korzinin, V.A. Shelyuto, and V.G. Ivanov
  
• Muon g-2 and Hadronic Vacuum Polarization: Recent Developments, EPJ Web Conf. 118 (2016) 01011
  S. Eidelman
  
• Theory of the Lamb shift in muonic tritium and the muonic 3He ion, Physical Review, v. A 96, 022505 (2017)
  S. Karshenboim, E.Yu. Korzinin, V.A. Shelyuto, and V.G. Ivanov