Two-photon exchange on the neutron and the hyperfine splitting

Tomalak, Oleksandr

doi:10.1103/PhysRevD.99.056018

Title: Two-photon exchange on the neutron and the hyperfine splitting

Abstract

We calculate the contribution from the two-photon exchange on the neutron to the hyperfine splitting of S energy levels. We update the value of the neutron Zemach radius and estimate total recoil and polarizability corrections. Here, the resulting two-photon exchange in electronic atoms exceeds by an order of magnitude the leading Zemach term and has different sign both in electronic and muonic hydrogen.

Authors:

Tomalak, Oleksandr ^[1]

Univ. of Kentucky, Lexington, KY (United States); Johannes Gutenberg Univ., Mainz (Germany); Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)

Publication Date:: Fri Mar 29 00:00:00 EDT 2019

Research Org.:: Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:: 1510811

Alternate Identifier(s):: OSTI ID: 1504528

Report Number(s):: arXiv:1812.03884; FERMILAB-PUB-18-682-T
Journal ID: ISSN 2470-0010; PRVDAQ; 1707946

Grant/Contract Number:: AC02-07CH11359; SC0019095

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review D

Additional Journal Information:: Journal Volume: 99; Journal Issue: 5; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society (APS)

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 on the neutron and the hyperfine splitting.  United States: N. p., 2019. 
Web.  doi:10.1103/PhysRevD.99.056018.

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                    Tomalak, Oleksandr. Two-photon exchange on the neutron and the hyperfine splitting.  United States.  https://doi.org/10.1103/PhysRevD.99.056018

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                    Tomalak, Oleksandr. Fri .  
"Two-photon exchange on the neutron and the hyperfine splitting".  United States.  https://doi.org/10.1103/PhysRevD.99.056018.  https://www.osti.gov/servlets/purl/1510811.

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@article{osti_1510811,

  title        = {Two-photon exchange on the neutron and the hyperfine splitting},

  author       = {Tomalak, Oleksandr},

  abstractNote = {We calculate the contribution from the two-photon exchange on the neutron to the hyperfine splitting of S energy levels. We update the value of the neutron Zemach radius and estimate total recoil and polarizability corrections. Here, the resulting two-photon exchange in electronic atoms exceeds by an order of magnitude the leading Zemach term and has different sign both in electronic and muonic hydrogen.},

  doi          = {10.1103/PhysRevD.99.056018},

  journal      = {Physical Review D},

  number       = 5,

  volume       = 99,

  place        = {United States},

  year         = {Fri Mar 29 00:00:00 EDT 2019},

  month        = {Fri Mar 29 00:00:00 EDT 2019}

}

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Works referenced in this record:

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Title: Two-photon exchange on the neutron and the hyperfine splitting

Abstract

Citation Formats

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

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

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

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

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

Hyperfine structure of S states in muonic deuterium journal, July 2014

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

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

The size of the proton journal, July 2010

The nuclear physics of hyperfine structure in hydrogenic atoms journal, July 2005

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

Nuclear corrections to hyperfine structure in light hydrogenic atoms journal, July 2005

A unitary isobar model for pion photo- and electroproduction on the proton up to 1 GeV journal, January 1999

Hyperfine splitting in ordinary and muonic hydrogen journal, January 2018

The Hyperfine Structure of Hydrogen journal, November 1953

The Gerasimov-Drell-Hearn sum rule and the spin Structure of the Nucleon journal, December 2004

Effective Potential Model for Calculating Nuclear Corrections to the Energy Levels of Hydrogen journal, April 1969

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

Exact Sum Rule for Nucleon Magnetic Moments journal, May 1966

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

Nuclear structure corrections to the Lamb shift in μ He + 3 and μ H 3 journal, April 2016

Moments of nucleon structure functions at next-to-leading order in baryon chiral perturbation theory journal, November 2014

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

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

Gerasimov-Drell-Hearn sum rule and related integrals journal, April 2001

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

Improved estimates of the nuclear structure corrections in μ D journal, September 2014

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

Nuclear Polarization Corrections to the μ He + 4 Lamb Shift journal, October 2013

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

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

Unitary isobar model --MAID2007
journal, October 2007

Laser spectroscopy of muonic deuterium
journal, August 2016

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

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

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

Polarizability Contribution to the Hydrogen Hyperfine Structure
journal, February 1967

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

Model-independent determination of the magnetic radius of the proton from spectroscopy of ordinary and muonic hydrogen
journal, September 2014

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

Nuclear Structure Correction to the Hyperfine Structure in Hydrogen
journal, January 1959

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

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

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

Corrections to deuterium hyperfine structure due to deuteron excitations
journal, February 2004

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

Review of Particle Physics
journal, August 2018

Nuclear vector polarizability correction to hyperfine splitting
journal, August 2007

CODATA recommended values of the fundamental physical constants: 2014
journal, September 2016

Simple parametrization of nucleon form factors
journal, December 2004

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

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

Theory of light hydrogenlike atoms
journal, February 2001

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

A New Parameterization of the Nucleon Elastic Form Factors
journal, September 2006

Precise neutron magnetic form factors
journal, January 2002

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

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

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

Experimental Determination of the Evolution of the Bjorken Integral at Low $Q^{2}$
journal, November 2004

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

NRQED Lagrangian at order $1 / M^{4}$
journal, March 2013

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

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

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

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

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

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

Hyperfine structure of $S$ states in muonic deuterium
journal, July 2014

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

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

The size of the proton
journal, July 2010

The nuclear physics of hyperfine structure in hydrogenic atoms
journal, July 2005

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

Nuclear corrections to hyperfine structure in light hydrogenic atoms
journal, July 2005

A unitary isobar model for pion photo- and electroproduction on the proton up to 1 GeV
journal, January 1999

Hyperfine splitting in ordinary and muonic hydrogen
journal, January 2018

The Hyperfine Structure of Hydrogen
journal, November 1953

The Gerasimov-Drell-Hearn sum rule and the spin Structure of the Nucleon
journal, December 2004

Effective Potential Model for Calculating Nuclear Corrections to the Energy Levels of Hydrogen
journal, April 1969

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

Exact Sum Rule for Nucleon Magnetic Moments
journal, May 1966

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

Nuclear structure corrections to the Lamb shift in $μ {}^{3}{He}^{+}$ and $μ {}^{3}H$
journal, April 2016

Moments of nucleon structure functions at next-to-leading order in baryon chiral perturbation theory
journal, November 2014

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

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

Gerasimov-Drell-Hearn sum rule and related integrals
journal, April 2001

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

Improved estimates of the nuclear structure corrections in μ D
journal, September 2014

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

Nuclear Polarization Corrections to the $μ {}^{4}{He}^{+}$ Lamb Shift
journal, October 2013