Hydrogen-deuterium isotope shift: From the 1S-2S-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; T. W. Hänsch

doi:10.1103/PhysRevA.83.042505

Hydrogen-deuterium isotope shift: From the 1S-2S-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
, T. W. Hänsch

^*Corresponding author for this work

Missouri University of Science and Technology
Max Planck Institute of Quantum Optics
Lebedev Physical Institute
Ludwig Maximilian University of Munich

Research output: Contribution to journal › Article › peer-review

57 Citations (Scopus)

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 Δf_th=670999566.90(66)(60)kHz (exclusive of the nonrelativistic nuclear-finite-size correction) and the experimental result Δf_expt=670994334605(15) Hz, we infer the deuteron-proton charge-radius difference 2_d- r2_p=3.82007(65) fm2 and the deuteron structure radius r_str=1.97507(78)fm.

Original language	English
Article number	042505
Pages (from-to)	1-9
Journal	Physical Review A - Atomic, Molecular, and Optical Physics
Volume	83
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevA.83.042505
Publication status	Published - 12 Apr 2011
Externally published	Yes

OECD Field of Science

1.3 Physical Sciences

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10.1103/PhysRevA.83.042505

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Jentschura, U. D., Matveev, A., Parthey, C. G., Alnis, J., Pohl, R., Udem, T., Kolachevsky, N., & Hänsch, T. W. (2011). Hydrogen-deuterium isotope shift: From the 1S-2S-transition frequency to the proton-deuteron charge-radius difference. Physical Review A - Atomic, Molecular, and Optical Physics, 83(4), 1-9. Article 042505. https://doi.org/10.1103/PhysRevA.83.042505

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title = "Hydrogen-deuterium isotope shift: From the 1S-2S-transition frequency to the proton-deuteron charge-radius difference",

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 2d- r2p=3.82007(65) fm2 and the deuteron structure radius rstr=1.97507(78)fm.",

author = "Jentschura, \{U. D.\} and A. Matveev and Parthey, \{C. G.\} and J. Alnis and R. Pohl and Th Udem and N. Kolachevsky and H{\"a}nsch, \{T. W.\}",

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doi = "10.1103/PhysRevA.83.042505",

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T2 - From the 1S-2S-transition frequency to the proton-deuteron charge-radius difference

AU - Jentschura, U. D.

AU - Matveev, A.

AU - Parthey, C. G.

AU - Alnis, J.

AU - Pohl, R.

AU - Udem, Th

AU - Kolachevsky, N.

AU - Hänsch, T. W.

PY - 2011/4/12

Y1 - 2011/4/12

N2 - 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 2d- r2p=3.82007(65) fm2 and the deuteron structure radius rstr=1.97507(78)fm.

AB - 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 2d- r2p=3.82007(65) fm2 and the deuteron structure radius rstr=1.97507(78)fm.

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DO - 10.1103/PhysRevA.83.042505

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SP - 1

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JO - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

IS - 4

M1 - 042505

ER -

Hydrogen-deuterium isotope shift: From the 1S-2S-transition frequency to the proton-deuteron charge-radius difference

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