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:
-
- 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)
- 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. https://doi.org/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. https://doi.org/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}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 3 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
The size of the proton
journal, July 2010
- Pohl, Randolf; Antognini, Aldo; Nez, François
- Nature, Vol. 466, Issue 7303
Proton Structure from the Measurement of 2S-2P Transition Frequencies of Muonic Hydrogen
journal, January 2013
- Antognini, A.; Nez, F.; Schuhmann, K.
- Science, Vol. 339, Issue 6118
High-Precision Determination of the Electric and Magnetic Form Factors of the Proton
journal, December 2010
- Bernauer, J. C.; Achenbach, P.; Ayerbe Gayoso, C.
- Physical Review Letters, Vol. 105, Issue 24
Electric and magnetic form factors of the proton
journal, July 2014
- Bernauer, J. C.; Distler, M. O.; Friedrich, J.
- Physical Review C, Vol. 90, Issue 1
CODATA recommended values of the fundamental physical constants: 2010
journal, November 2012
- Mohr, Peter J.; Taylor, Barry N.; Newell, David B.
- Reviews of Modern Physics, Vol. 84, Issue 4
The proton radius puzzle
journal, May 2015
- Carlson, Carl E.
- Progress in Particle and Nuclear Physics, Vol. 82
Review of experimental and theoretical status of the proton radius puzzle
journal, January 2017
- Hill, Richard J.
- EPJ Web of Conferences, Vol. 137
Theory of the Lamb shift in muonic hydrogen
journal, April 1996
- Pachucki, Krzysztof
- Physical Review A, Vol. 53, Issue 4
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
Leading chiral logarithms to the hyperfine splitting of the hydrogen and muonic hydrogen
journal, February 2003
- Pineda, Antonio
- Physical Review C, Vol. 67, Issue 2
Chiral structure of the Lamb shift and the definition of the proton radius
journal, June 2005
- Pineda, Antonio
- Physical Review C, Vol. 71, Issue 6
Forward virtual Compton scattering and the Lamb shift in chiral perturbation theory
journal, March 2008
- Nevado, David; Pineda, Antonio
- Physical Review C, Vol. 77, Issue 3
Higher-order proton structure corrections to the Lamb shift in muonic hydrogen
journal, August 2011
- Carlson, Carl E.; Vanderhaeghen, Marc
- Physical Review A, Vol. 84, Issue 2
NRQED Lagrangian at order
journal, March 2013
- Hill, Richard J.; Lee, Gabriel; Paz, Gil
- Physical Review D, Vol. 87, Issue 5
Proton polarisability contribution to the Lamb shift in muonic hydrogen at fourth order in chiral perturbation theory
journal, September 2012
- Birse, M. C.; McGovern, J. A.
- The European Physical Journal A, Vol. 48, Issue 9
Proton polarizability contribution: Muonic hydrogen Lamb shift and elastic scattering
journal, January 2013
- Miller, Gerald A.
- Physics Letters B, Vol. 718, Issue 3
Chiral perturbation theory of muonic-hydrogen Lamb shift: polarizability contribution
journal, April 2014
- Alarcón, Jose Manuel; Lensky, Vadim; Pascalutsa, Vladimir
- The European Physical Journal C, Vol. 74, Issue 4
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
The two-photon exchange contribution to muonic hydrogen from chiral perturbation theory
journal, October 2014
- Peset, Clara; Pineda, Antonio
- Nuclear Physics B, Vol. 887
Two-photon exchange correction to muon–proton elastic scattering at low momentum transfer
journal, March 2016
- Tomalak, Oleksandr; Vanderhaeghen, Marc
- The European Physical Journal C, Vol. 76, Issue 3
Constraints on the virtual Compton scattering on the nucleon in a new dispersive formalism
journal, April 2016
- Caprini, Irinel
- Physical Review D, Vol. 93, Issue 7
Nucleon spin-averaged forward virtual Compton tensor at large
journal, May 2017
- Hill, Richard J.; Paz, Gil
- Physical Review D, Vol. 95, Issue 9
Proton structure corrections to electronic and muonic hydrogen hyperfine splitting
journal, August 2008
- Carlson, Carl E.; Nazaryan, Vahagn; Griffioen, Keith
- Physical Review A, Vol. 78, Issue 2
Proton-structure corrections to hyperfine splitting in muonic hydrogen
journal, April 2011
- Carlson, Carl E.; Nazaryan, Vahagn; Griffioen, Keith
- Physical Review A, Vol. 83, Issue 4
Theory of light hydrogenlike atoms
journal, February 2001
- I. Eides, Michael; Grotch, Howard; Shelyuto, Valery A.
- Physics Reports, Vol. 342, Issue 2-3
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
Frequency of the Hydrogen Maser
journal, January 1971
- Essen, L.; Donaldson, R. W.; Bangham, M. J.
- Nature, Vol. 229, Issue 5280
Hydrogen Maser Wall Shift Experiments at the National Research Council of Canada
journal, October 1971
- Morris, D.
- Metrologia, Vol. 7, Issue 4
Hydrogen Maser Work at the National Physical Laboratory
journal, July 1973
- Essen, L.; Donaldson, R. W.; Hope, E. G.
- Metrologia, Vol. 9, Issue 3
A Comparison of the Wall Shift of TFE and FEP Teflon Coatings in the Hydrogen Maser
journal, January 1978
- Vanier, Jacques; Larouche, Robert
- Metrologia, Vol. 14, Issue 1
Temperature Dependence of the Hydrogen Maser Wall Shift in the Temperature Range 295-395 K
journal, January 1980
- Petit, P.; Desaintfuscien, M.; Audoin, C.
- Metrologia, Vol. 16, Issue 1
Precision physics of simple atoms: QED tests, nuclear structure and fundamental constants
journal, December 2005
- Karshenboim, Savely G.
- Physics Reports, Vol. 422, Issue 1-2
Tabulation of the bound-state energies of atomic hydrogen
journal, February 2016
- Horbatsch, M.; Hessels, E. A.
- Physical Review A, Vol. 93, Issue 2
Model-independent determination of the two-photon exchange contribution to hyperfine splitting in muonic hydrogen
journal, April 2017
- Peset, Clara; Pineda, Antonio
- Journal of High Energy Physics, Vol. 2017, Issue 4
Forward two-photon exchange in elastic lepton–proton scattering and hyperfine-splitting correction
journal, August 2017
- Tomalak, Oleksandr
- The European Physical Journal C, Vol. 77, Issue 8
Two-photon exchange correction to the hyperfine splitting in muonic hydrogen
journal, December 2017
- Tomalak, Oleksandr
- The European Physical Journal C, Vol. 77, Issue 12
Hyperfine splitting in ordinary and muonic hydrogen
journal, January 2018
- Tomalak, Oleksandr
- The European Physical Journal A, Vol. 54, Issue 1
Laser Spectroscopy of Muonic Hydrogen and the Puzzling Proton
journal, September 2016
- Pohl, Randolf
- Journal of the Physical Society of Japan, Vol. 85, Issue 9
Proton Zemach radius from measurements of the hyperfine splitting of hydrogen and muonic hydrogen
journal, November 2003
- Dupays, Arnaud; Beswick, Alberto; Lepetit, Bruno
- Physical Review A, Vol. 68, Issue 5
Steps towards the hyperfine splitting measurement of the muonic hydrogen ground state: pulsed muon beam and detection system characterization
journal, May 2016
- Adamczak, A.; Baccolo, G.; Bakalov, D.
- Journal of Instrumentation, Vol. 11, Issue 05
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
Improved Measurement of the Hydrogen Transition Frequency
journal, November 2011
- Parthey, Christian G.; Matveev, Arthur; Alnis, Janis
- Physical Review Letters, Vol. 107, Issue 20
Precision Measurement of the Hydrogen Frequency via a 920-km Fiber Link
journal, June 2013
- Matveev, Arthur; Parthey, Christian G.; Predehl, Katharina
- Physical Review Letters, Vol. 110, Issue 23
Precision Measurement of the Hydrogen-Deuterium Isotope Shift
journal, June 2010
- Parthey, Christian G.; Matveev, Arthur; Alnis, Janis
- Physical Review Letters, Vol. 104, Issue 23
Hydrogen-deuterium isotope shift: From the -transition frequency to the proton-deuteron charge-radius difference
journal, April 2011
- Jentschura, U. D.; Matveev, A.; Parthey, C. G.
- Physical Review A, Vol. 83, Issue 4
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
Nuclear finite-size effects in light muonic atoms
journal, September 1979
- Friar, J. L.
- Annals of Physics, Vol. 122, Issue 1
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
Comment on: “Proton polarization shifts in electronic and muonic hydrogen”
journal, May 2000
- Khriplovich, I. B.; Sen'kov, R. A.
- Physics Letters B, Vol. 481, Issue 2-4
Higher-order nuclear-polarizability corrections in atomic hydrogen
journal, August 1997
- Friar, J. L.; Payne, G. L.
- Physical Review C, Vol. 56, Issue 2
Self-consistent value of the electric radius of the proton from the Lamb shift in muonic hydrogen
journal, September 2014
- Karshenboim, Savely G.
- Physical Review D, Vol. 90, Issue 5
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
Empirical fit to inelastic electron-deuteron and electron-neutron resonance region transverse cross sections
journal, June 2008
- Bosted, P. E.; Christy, M. E.
- Physical Review C, Vol. 77, Issue 6
Empirical fit to precision inclusive electron-proton cross sections in the resonance region
journal, May 2010
- Christy, M. E.; Bosted, P. E.
- Physical Review C, Vol. 81, Issue 5
Does the hard pomeron obey Regge factorisation?
journal, August 2004
- Donnachie, A.; Landshoff, P. V.
- Physics Letters B, Vol. 595, Issue 1-4
Proton-polarizability effect in the Lamb shift for the hydrogen atom
journal, August 2006
- Martynenko, A. P.
- Physics of Atomic Nuclei, Vol. 69, Issue 8
Proton polarization shifts in electronic and muonic hydrogen
journal, September 1999
- Rosenfelder, R.
- Physics Letters B, Vol. 463, Issue 2-4
Nuclear polarization corrections to - atoms in zero-range approximation
journal, September 2013
- Friar, J. L.
- Physical Review C, Vol. 88, Issue 3
Precise neutron magnetic form factors
journal, January 2002
- Kubon, G.; Anklin, H.; Bartsch, P.
- Physics Letters B, Vol. 524, Issue 1-2
Measurement of the Electric Form Factor of the Neutron at and
journal, January 2004
- Warren, G.; Wesselmann, F.; Zhu, H.
- Physical Review Letters, Vol. 92, Issue 4
Simple parametrization of nucleon form factors
journal, December 2004
- Kelly, J. J.
- Physical Review C, Vol. 70, Issue 6
The structure of the nucleon: Elastic electromagnetic form factors
journal, July 2015
- Punjabi, V.; Perdrisat, C. F.; Jones, M. K.
- The European Physical Journal A, Vol. 51, Issue 7
Proton and neutron electromagnetic form factors and uncertainties
journal, February 2018
- Ye, Zhihong; Arrington, John; Hill, Richard J.
- Physics Letters B, Vol. 777
Compilation of coupling constants and low-energy parameters
journal, December 1973
- Pilkuhn, H.; Schmidt, W.; Martin, A. D.
- Nuclear Physics B, Vol. 65, Issue 2
Cottingham formula and nucleon polarisabilities
journal, August 2015
- Gasser, J.; Hoferichter, M.; Leutwyler, H.
- The European Physical Journal C, Vol. 75, Issue 8
Theory of the levels in muonic deuterium
journal, March 2016
- Krauth, Julian J.; Diepold, Marc; Franke, Beatrice
- Annals of Physics, Vol. 366
Renormalization of the Cottingham formula
journal, March 1979
- Collins, John C.
- Nuclear Physics B, Vol. 149, Issue 1
Implications of scaling for the proton-neutron mass difference
journal, August 1975
- Gasser, J.; Leutwyler, H.
- Nuclear Physics B, Vol. 94, Issue 2
Compton Scattering from the Deuteron and Extracted Neutron Polarizabilities
journal, May 2003
- Lundin, M.; Adler, J. -O.; Boland, M.
- Physical Review Letters, Vol. 90, Issue 19
Quasi-free Compton scattering and the polarizabilities of the neutron
journal, February 2003
- Kossert, K.; Camen, M.; Wissmann, F.
- The European Physical Journal A, Vol. 16, Issue 2
Measurement of Compton Scattering from the Deuteron and an Improved Extraction of the Neutron Electromagnetic Polarizabilities
journal, December 2014
- Myers, L. S.; Annand, J. R. M.; Brudvik, J.
- Physical Review Letters, Vol. 113, Issue 26
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
Iterative Monte Carlo analysis of spin-dependent parton distributions
journal, April 2016
- Sato, Nobuo; Melnitchouk, W.; Kuhn, S. E.
- Physical Review D, Vol. 93, Issue 7
Determination of the proton spin structure functions for using CLAS
journal, December 2017
- Fersch, R. G.; Guler, N.; Bosted, P.
- Physical Review C, Vol. 96, Issue 6
Some recoil corrections to the hydrogen hyperfine splitting
journal, January 1988
- Bodwin, G. T.; Yennie, D. R.
- Physical Review D, Vol. 37, Issue 2
Nuclear structure-dependent radiative corrections to the hydrogen hyperfine splitting
journal, January 1997
- Karshenboim, Savely G.
- Physics Letters A, Vol. 225, Issue 1-3
Hyperfine splitting of muonic hydrogen
journal, February 2005
- Martynenko, A. P.
- Physical Review A, Vol. 71, Issue 2
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
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
The contribution of axial-vector mesons to hyperfine structure of muonic hydrogen
journal, January 2018
- Dorokhov, A. E.; Kochelev, N. I.; Martynenko, A. P.
- Physics Letters B, Vol. 776
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
The size of the proton: From the Lamb-shift in muonic hydrogen
journal, October 2011
- Nebel, T.; Antognini, A.; Amaro, F. D.
- Hyperfine Interactions, Vol. 212, Issue 1-3
High-precision determination of the electric and magnetic form factors of the proton
conference, January 2011
- Bernauer, Jan C.; Hosaka, Atsushi; Khemchandani, Kanchan
- INTERNATIONAL CONFERENCE ON THE STRUCTURE OF BARYONS (BARYONS' 10), AIP Conference Proceedings
Temperature Dependence of the Hydrogen Maser Wall Shift in the Temperature Range 295-395 K
journal, October 1980
- Petit, P.; Desaintfuscien, M.; Audoin, C.
- Metrologia, Vol. 16, Issue 4
Hydrogen Maser Wall Shift Experiments at the National Research Council of Canada
conference, January 1971
- Morris, D.
- 25th Annual Symposium on Frequency Control
Cottingham formula and nucleon polarisabilities
text, January 2015
- Gasser, J.; Hoferichter, M.; Leutwyler, H.
- GSI Helmholtzzentrum fuer Schwerionenforschung, GSI, Darmstadt
CODATA Recommended Values of the Fundamental Physical Constants: 2010
journal, December 2012
- Mohr, Peter J.; Taylor, Barry N.; Newell, David B.
- Journal of Physical and Chemical Reference Data, Vol. 41, Issue 4
Cottingham formula and nucleon polarisabilities
text, January 2022
- Gasser, Jürg; Hoferichter, Martin; Leutwyler, Heinrich
- Springer
Forward virtual Compton scattering and the Lamb shift in chiral perturbation theory
text, January 2007
- Nevado, David; Pineda, Antonio
- arXiv
Proton structure corrections to electronic and muonic hydrogen hyperfine splitting
text, January 2008
- Carlson, Carl E.; Nazaryan, Vahagn; Griffioen, Keith
- arXiv
Spin Structure of the Nucleon - Status and Recent Results
text, January 2008
- Kuhn, S. E.; Chen, J. -P.; Leader, E.
- arXiv
High-precision determination of the electric and magnetic form factors of the proton
text, January 2010
- Bernauer, J. C.; Achenbach, P.; Gayoso, C. Ayerbe
- arXiv
Proton structure corrections to hyperfine splitting in muonic hydrogen
text, January 2011
- Carlson, Carl E.; Nazaryan, Vahagn; Griffioen, Keith
- arXiv
Proton Polarizability Contribution: Muonic Hydrogen Lamb Shift and Elastic Scattering
text, January 2012
- Miller, Gerald A.
- arXiv
Nuclear Polarization Corrections to mu-d Atoms in Zero-Range Approximation
text, January 2013
- Friar, J. L.
- arXiv
Chiral perturbation theory of muonic hydrogen Lamb shift: polarizability contribution
text, January 2013
- Alarcón, Jose Manuel; Lensky, Vadim; Pascalutsa, Vladimir
- arXiv
A tabulation of the bound-state energies of atomic hydrogen
text, January 2016
- Horbatsch, M.; Hessels, E. A.
- arXiv
Constraints on the virtual Compton scattering on the nucleon in a new dispersive formalism
text, January 2016
- Caprini, Irinel
- arXiv
Forward two-photon exchange in elastic lepton-proton scattering and hyperfine-splitting correction
text, January 2017
- Tomalak, Oleksandr
- arXiv
The contribution of axial-vector mesons to hyperfine structure of muonic hydrogen
text, January 2017
- Dorokhov, A. E.; Kochelev, N. I.; Martynenko, A. P.
- arXiv
Two-photon exchange correction to the hyperfine splitting in muonic hydrogen
text, January 2017
- Tomalak, O.
- arXiv
Nuclear-structure corrections to the hyperfine splitting in muonic deuterium
text, January 2018
- Kalinowski, Marcin; Pachucki, Krzysztof; Yerokhin, Vladimir A.
- arXiv
Theory of Light Hydrogenlike Atoms
text, January 2000
- Eides, Michael I.; Grotch, Howard; Shelyuto, and Valery A.
- arXiv
Does the hard pomeron obey Regge factorisation?
text, January 2004
- Donnachie, A.; Landshoff, P. V.
- arXiv
Precision physics of simple atoms: QED tests, nuclear structure and fundamental constants
text, January 2005
- Karshenboim, Savely G.
- arXiv
Proton polarizability effect in the Lamb shift of the hydrogen atom
text, January 2005
- Martynenko, A. P.
- arXiv
Nuclear Structure-Dependent Radiative Corrections to the Hydrogen Hyperfine Splitting
text, January 1996
- Karshenboim, Savely G.
- arXiv
Proton Polarization Shifts in Electronic and Muonic Hydrogen
text, January 1999
- Rosenfelder, R.
- arXiv
Compton Scattering from the Deuteron and Extracted Neutron Polarizabilities
text, January 2002
- Lundin, M.; Adler, J. -O.; Boland, M.
- arXiv
Proton Zemach radius from measurements of the hyperfine splitting of hydrogen and muonic hydrogen
text, January 2003
- Dupays, Arnaud; Beswick, Alberto; Lepetit, Bruno
- arXiv