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Title: Two-photon exchange correction to the Lamb shift and hyperfine splitting of S levels

Abstract

We evaluate the two-photon exchange corrections to the Lamb shift and hyperfine splitting of S states in electronic hydrogen relying on modern experimental data and present the two-photon exchange on a neutron inside the electronic and muonic atoms. These results are relevant for the precise extraction of the isotope shift as well as in the analysis of the ground state hyperfine splitting in usual and muonic hydrogen.

Authors:
 [1]
  1. Johannes Gutenberg Univ., Mainz (Germany); Univ. of Kentucky, Lexington, KY (United States); Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Publication Date:
Research Org.:
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1543266
Report Number(s):
arXiv:1808.09204; FERMILAB-PUB-18-779-T
Journal ID: ISSN 1434-6001; 1691851
Grant/Contract Number:  
AC02-07CH11359
Resource Type:
Accepted Manuscript
Journal Name:
European Physical Journal. A
Additional Journal Information:
Journal Volume: 55; Journal Issue: 5; Journal ID: ISSN 1434-6001
Publisher:
Springer
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Tomalak, Oleksandr. Two-photon exchange correction to the Lamb shift and hyperfine splitting of S levels. United States: N. p., 2019. Web. doi:10.1140/epja/i2019-12743-1.
Tomalak, Oleksandr. Two-photon exchange correction to the Lamb shift and hyperfine splitting of S levels. United States. doi:10.1140/epja/i2019-12743-1.
Tomalak, Oleksandr. Fri . "Two-photon exchange correction to the Lamb shift and hyperfine splitting of S levels". United States. doi:10.1140/epja/i2019-12743-1. https://www.osti.gov/servlets/purl/1543266.
@article{osti_1543266,
title = {Two-photon exchange correction to the Lamb shift and hyperfine splitting of S levels},
author = {Tomalak, Oleksandr},
abstractNote = {We evaluate the two-photon exchange corrections to the Lamb shift and hyperfine splitting of S states in electronic hydrogen relying on modern experimental data and present the two-photon exchange on a neutron inside the electronic and muonic atoms. These results are relevant for the precise extraction of the isotope shift as well as in the analysis of the ground state hyperfine splitting in usual and muonic hydrogen.},
doi = {10.1140/epja/i2019-12743-1},
journal = {European Physical Journal. A},
number = 5,
volume = 55,
place = {United States},
year = {2019},
month = {5}
}

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Works referenced in this record:

The size of the proton
journal, July 2010

  • Pohl, Randolf; Antognini, Aldo; Nez, François
  • Nature, Vol. 466, Issue 7303
  • DOI: 10.1038/nature09250

Proton Structure from the Measurement of 2S-2P Transition Frequencies of Muonic Hydrogen
journal, January 2013


High-Precision Determination of the Electric and Magnetic Form Factors of the Proton
journal, December 2010


Electric and magnetic form factors of the proton
journal, July 2014


CODATA recommended values of the fundamental physical constants: 2010
journal, November 2012


The proton radius puzzle
journal, May 2015


Review of experimental and theoretical status of the proton radius puzzle
journal, January 2017


Theory of the Lamb shift in muonic hydrogen
journal, April 1996


Proton polarizability and lamb shift in the muonic hydrogen atom
journal, May 2000

  • Martynenko, A. P.; Faustov, R. N.
  • Physics of Atomic Nuclei, Vol. 63, Issue 5
  • DOI: 10.1134/1.855715

Leading chiral logarithms to the hyperfine splitting of the hydrogen and muonic hydrogen
journal, February 2003


Chiral structure of the Lamb shift and the definition of the proton radius
journal, June 2005


Forward virtual Compton scattering and the Lamb shift in chiral perturbation theory
journal, March 2008


Higher-order proton structure corrections to the Lamb shift in muonic hydrogen
journal, August 2011


NRQED Lagrangian at order 1 / M 4
journal, March 2013


Proton polarisability contribution to the Lamb shift in muonic hydrogen at fourth order in chiral perturbation theory
journal, September 2012


Proton polarizability contribution: Muonic hydrogen Lamb shift and elastic scattering
journal, January 2013


Chiral perturbation theory of muonic-hydrogen Lamb shift: polarizability contribution
journal, April 2014


Muonic-hydrogen Lamb shift: Dispersing the nucleon-excitation uncertainty with a finite-energy sum rule
journal, May 2013

  • Gorchtein, Mikhail; Llanes-Estrada, Felipe J.; Szczepaniak, Adam P.
  • Physical Review A, Vol. 87, Issue 5
  • DOI: 10.1103/PhysRevA.87.052501

The two-photon exchange contribution to muonic hydrogen from chiral perturbation theory
journal, October 2014


Two-photon exchange correction to muon–proton elastic scattering at low momentum transfer
journal, March 2016


Constraints on the virtual Compton scattering on the nucleon in a new dispersive formalism
journal, April 2016


Nucleon spin-averaged forward virtual Compton tensor at large Q 2
journal, May 2017


Proton structure corrections to electronic and muonic hydrogen hyperfine splitting
journal, August 2008


Proton-structure corrections to hyperfine splitting in muonic hydrogen
journal, April 2011


Theory of light hydrogenlike atoms
journal, February 2001


Wall Shift of FEP Teflon in the Hydrogen Maser
journal, January 1970

  • Zitzewitz, P. W.; Uzgiris, E. E.; Ramsey, N. F.
  • Review of Scientific Instruments, Vol. 41, Issue 1
  • DOI: 10.1063/1.1684286

Frequency of the Hydrogen Maser
journal, January 1971

  • Essen, L.; Donaldson, R. W.; Bangham, M. J.
  • Nature, Vol. 229, Issue 5280
  • DOI: 10.1038/229110a0

Hydrogen Maser Wall Shift Experiments at the National Research Council of Canada
journal, October 1971


Hydrogen Maser Work at the National Physical Laboratory
journal, July 1973


A Comparison of the Wall Shift of TFE and FEP Teflon Coatings in the Hydrogen Maser
journal, January 1978


Temperature Dependence of the Hydrogen Maser Wall Shift in the Temperature Range 295-395 K
journal, January 1980


Precision physics of simple atoms: QED tests, nuclear structure and fundamental constants
journal, December 2005


Tabulation of the bound-state energies of atomic hydrogen
journal, February 2016


Model-independent determination of the two-photon exchange contribution to hyperfine splitting in muonic hydrogen
journal, April 2017


Forward two-photon exchange in elastic lepton–proton scattering and hyperfine-splitting correction
journal, August 2017


Two-photon exchange correction to the hyperfine splitting in muonic hydrogen
journal, December 2017


Hyperfine splitting in ordinary and muonic hydrogen
journal, January 2018


Laser Spectroscopy of Muonic Hydrogen and the Puzzling Proton
journal, September 2016


Proton Zemach radius from measurements of the hyperfine splitting of hydrogen and muonic hydrogen
journal, November 2003


New Precision Measurement for Proton Zemach Radius with Laser Spectroscopy
journal, January 2016

  • Ma, Y.; Ishida, K.; Iwasaki, M.
  • International Journal of Modern Physics: Conference Series, Vol. 40
  • DOI: 10.1142/S2010194516600466

Improved Measurement of the Hydrogen 1 S 2 S Transition Frequency
journal, November 2011


Precision Measurement of the Hydrogen 1 S 2 S Frequency via a 920-km Fiber Link
journal, June 2013


Precision Measurement of the Hydrogen-Deuterium 1 S 2 S Isotope Shift
journal, June 2010


Hydrogen-deuterium isotope shift: From the 1 S 2 S -transition frequency to the proton-deuteron charge-radius difference
journal, April 2011


Three-photon-exchange nuclear structure correction in hydrogenic systems
journal, June 2018

  • Pachucki, Krzysztof; Patkóš, Vojtěch; Yerokhin, Vladimir A.
  • Physical Review A, Vol. 97, Issue 6
  • DOI: 10.1103/PhysRevA.97.062511

Nuclear finite-size effects in light muonic atoms
journal, September 1979


Polarizability effects in electronic and muonic atoms
journal, September 1983

  • Bernab�u, J.; Ericson, T. E. O.
  • Zeitschrift f�r Physik A Atoms and Nuclei, Vol. 309, Issue 3
  • DOI: 10.1007/BF01413752

Comment on: “Proton polarization shifts in electronic and muonic hydrogen”
journal, May 2000


Higher-order nuclear-polarizability corrections in atomic hydrogen
journal, August 1997


Self-consistent value of the electric radius of the proton from the Lamb shift in muonic hydrogen
journal, September 2014


Recoil correction to the proton finite-size contribution to the Lamb shift in muonic hydrogen
journal, April 2015

  • Karshenboim, Savely G.; Korzinin, Evgeny Yu.; Shelyuto, Valery A.
  • Physical Review D, Vol. 91, Issue 7
  • DOI: 10.1103/PhysRevD.91.073003

Empirical fit to inelastic electron-deuteron and electron-neutron resonance region transverse cross sections
journal, June 2008


Empirical fit to precision inclusive electron-proton cross sections in the resonance region
journal, May 2010


Does the hard pomeron obey Regge factorisation?
journal, August 2004


Proton-polarizability effect in the Lamb shift for the hydrogen atom
journal, August 2006


Proton polarization shifts in electronic and muonic hydrogen
journal, September 1999


Nuclear polarization corrections to μ - d atoms in zero-range approximation
journal, September 2013


Precise neutron magnetic form factors
journal, January 2002


Measurement of the Electric Form Factor of the Neutron at Q 2 = 0.5 and 1.0 G e V 2 / c 2
journal, January 2004


Simple parametrization of nucleon form factors
journal, December 2004


The structure of the nucleon: Elastic electromagnetic form factors
journal, July 2015


Proton and neutron electromagnetic form factors and uncertainties
journal, February 2018


Compilation of coupling constants and low-energy parameters
journal, December 1973


Cottingham formula and nucleon polarisabilities
journal, August 2015


Theory of the n = 2 levels in muonic deuterium
journal, March 2016


Renormalization of the Cottingham formula
journal, March 1979


Implications of scaling for the proton-neutron mass difference
journal, August 1975


Compton Scattering from the Deuteron and Extracted Neutron Polarizabilities
journal, May 2003


Quasi-free Compton scattering and the polarizabilities of the neutron
journal, February 2003


Measurement of Compton Scattering from the Deuteron and an Improved Extraction of the Neutron Electromagnetic Polarizabilities
journal, December 2014


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journal, February 2009


Spin structure of the nucleon—status and recent results
journal, July 2009

  • Kuhn, S. E.; Chen, J. -P.; Leader, E.
  • Progress in Particle and Nuclear Physics, Vol. 63, Issue 1
  • DOI: 10.1016/j.ppnp.2009.02.001

Iterative Monte Carlo analysis of spin-dependent parton distributions
journal, April 2016


Determination of the proton spin structure functions for 0.05 < Q 2 < 5 GeV 2 using CLAS
journal, December 2017


Some recoil corrections to the hydrogen hyperfine splitting
journal, January 1988


Nuclear structure-dependent radiative corrections to the hydrogen hyperfine splitting
journal, January 1997


2 S Hyperfine splitting of muonic hydrogen
journal, February 2005


The contribution of pseudoscalar mesons to hyperfine structure of muonic hydrogen
journal, November 2017

  • Dorokhov, A. E.; Kochelev, N. I.; Martynenko, A. P.
  • Physics of Particles and Nuclei Letters, Vol. 14, Issue 6
  • DOI: 10.1134/S1547477117060140

Nuclear radiative recoil corrections to the hyperfine structure of S-states in muonic hydrogen
journal, September 2017

  • Faustov, R. N.; Martynenko, A. P.; Martynenko, F. A.
  • Physics of Particles and Nuclei, Vol. 48, Issue 5
  • DOI: 10.1134/S106377961705015X

The contribution of axial-vector mesons to hyperfine structure of muonic hydrogen
journal, January 2018


Nuclear-structure corrections to the hyperfine splitting in muonic deuterium
journal, December 2018

  • Kalinowski, Marcin; Pachucki, Krzysztof; Yerokhin, Vladimir A.
  • Physical Review A, Vol. 98, Issue 6
  • DOI: 10.1103/PhysRevA.98.062513