Quantum-electrodynamics corrections in pionic hydrogen

S. Schlesser, E.-O. Le Bigot, P. Indelicato, and K. Pachucki
Phys. Rev. C 84, 015211 – Published 21 July 2011

Abstract

We investigate all pure quantum-electrodynamics corrections to the np1s, n=2–4 transition energies of pionic hydrogen larger than 1meV, which requires an accurate evaluation of all relevant contributions up to order α5. These values are needed to extract an accurate strong interaction shift from experiment. Many small effects, such as second-order and double vacuum polarization contribution, proton and pion self-energies, finite size and recoil effects are included with exact mass dependence. Our final value differs from previous calculations by up to 11ppm for the 1s state, while a recent experiment aims at a 4ppm accuracy.

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  • Received 25 August 2009

DOI:https://doi.org/10.1103/PhysRevC.84.015211

©2011 American Physical Society

Authors & Affiliations

S. Schlesser1,*, E.-O. Le Bigot1, P. Indelicato1,†, and K. Pachucki2

  • 1Laboratoire Kastler Brossel, École Normale Supérieure, CNRS, Université Pierre et Marie Curie-Paris 6, Case 74, 4 place Jussieu, F-75005 Paris, France
  • 2Faculty of Physics, University of Warsaw, Hoża 69, PL-00-681 Warsaw, Poland

  • *Present address: KVI, Theory Group, University of Groningen, 9747 AA Groningen, The Netherlands.
  • paul.indelicato@lkb.ens.fr

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Vol. 84, Iss. 1 — July 2011

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