Hydrogen-deuterium isotope shift: From the 1S2S-transition frequency to the proton-deuteron charge-radius difference

U.D. Jentschura, A. Matveev, C.G. Parthey, J. Alnis, R. Pohl, Th. Udem, N. Kolachevsky, and T.W. Hänsch
Phys. Rev. A 83, 042505 – Published 12 April 2011

Abstract

We analyze and review the theory of the hydrogen-deuterium isotope shift for the 1S-2S transition, which is one of the most accurately measured isotope shifts in any atomic system, in view of a recently improved experiment. A tabulation of all physical effects that contribute to the isotope shift is given. These include the Dirac binding energy, quantum electrodynamic effects, including recoil corrections, and the nuclear-size effect, including the pertaining relativistic and radiative corrections. From a comparison of the theoretical result Δfth=670999566.90(66)(60)kHz (exclusive of the nonrelativistic nuclear-finite-size correction) and the experimental result Δfexpt=670994334605(15)Hz, we infer the deuteron-proton charge-radius difference r2dr2p=3.82007(65)fm2 and the deuteron structure radius rstr=1.97507(78)fm.

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  • Received 11 February 2011

DOI:https://doi.org/10.1103/PhysRevA.83.042505

©2011 American Physical Society

Authors & Affiliations

U.D. Jentschura1, A. Matveev2, C.G. Parthey2, J. Alnis2, R. Pohl2, Th. Udem2, N. Kolachevsky2,*, and T.W. Hänsch2,†

  • 1Department of Physics, Missouri University of Science and Technology, Rolla, Missouri 65409-0640, USA
  • 2Max-Planck-Institut für Quantenoptik, DE-85748 Garching, Germany

  • *Also at P. N. Lebedev Physical Institute, Moscow, Russia.
  • Also at Ludwig-Maximilians-University, Munich, Germany.

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Vol. 83, Iss. 4 — April 2011

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