Two-photon exchange corrections to the pion form factor

Melnitchouk, Wally; Tjon, John A.

doi:10.1103/PhysRevC.81.018202

Title: Two-photon exchange corrections to the pion form factor

Abstract

Here, we compute two-photon exchange corrections to the electromagnetic form factor of the pion, taking into account the finite size of the pion. Compared to the soft-photon approximation for the infrared divergent contribution which neglects hadron structure effects, the corrections are found to be ≲ 1% for small Q² (Q² < 0.1 GeV²), but increase to several percent for Q² ≳ 1 GeV² at extreme backward angles.

Authors:

Peter G. Blunden; Melnitchouk, Wally ^[1]; Tjon, John A. ^[2]

Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Univ. of Utrecht (Netherlands)

Publication Date:: 2010-01-06

Research Org.:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP)

OSTI Identifier:: 983652

Report Number(s):: JLAB-THY-09-1106; arXiv:0911.3619; DOE/OR/23177-1050
Journal ID: ISSN 0556-2813; PRVCAN; TRN: US1004596

Grant/Contract Number:: AC05-06OR23177

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review C, Nuclear Physics

Additional Journal Information:: Journal Volume: 81; Journal ID: ISSN 0556-2813

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; APPROXIMATIONS; ELECTROMAGNETIC FORM FACTORS; FORM FACTORS; HADRONS; PIONS

Citation Formats


                    Peter G. Blunden, Melnitchouk, Wally, and Tjon, John A. Two-photon exchange corrections to the pion form factor.  United States: N. p., 2010. 
Web.  doi:10.1103/PhysRevC.81.018202.

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                    Peter G. Blunden, Melnitchouk, Wally, & Tjon, John A. Two-photon exchange corrections to the pion form factor.  United States.  https://doi.org/10.1103/PhysRevC.81.018202

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                    Peter G. Blunden, Melnitchouk, Wally, and Tjon, John A. Wed .  
"Two-photon exchange corrections to the pion form factor".  United States.  https://doi.org/10.1103/PhysRevC.81.018202.  https://www.osti.gov/servlets/purl/983652.

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@article{osti_983652,

  title        = {Two-photon exchange corrections to the pion form factor},

  author       = {Peter G. Blunden and Melnitchouk, Wally and Tjon, John A.},

  abstractNote = {Here, we compute two-photon exchange corrections to the electromagnetic form factor of the pion, taking into account the finite size of the pion. Compared to the soft-photon approximation for the infrared divergent contribution which neglects hadron structure effects, the corrections are found to be ≲ 1% for small Q2 (Q2 < 0.1 GeV2), but increase to several percent for Q2 ≳ 1 GeV2 at extreme backward angles.},

  doi          = {10.1103/PhysRevC.81.018202},

  journal      = {Physical Review C, Nuclear Physics},

  number       = ,

  volume       = 81,

  place        = {United States},

  year         = {2010},

  month        = {1}

}

Copy to clipboard

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Works referenced in this record:

Determination of the Pion Charge Form Factor at $Q^{2} = 1.60$ and $2.45 (GeV / c)^{2}$
journal, November 2006

Horn, T.; Aniol, K.; Arrington, J.
Physical Review Letters, Vol. 97, Issue 19
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Physical Review C, Vol. 75, Issue 5
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Charged pion form factor between $Q^{2} = 0.60$ and $2.45 GeV^{2}$ . II. Determination of, and results for, the pion form factor
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Huber, G. M.; Blok, H. P.; Horn, T.
Physical Review C, Vol. 78, Issue 4
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Physical Review Letters, Vol. 84, Issue 7
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journal, February 2002

Gayou, O.; Aniol, K. A.; Averett, T.
Physical Review Letters, Vol. 88, Issue 9
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Proton elastic form factor ratios to $Q^{2} = 3.5 GeV^{2}$ by polarization transfer
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Physical Review C, Vol. 71, Issue 5
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Publisher's Note: Proton elastic form factor ratios to $Q^{2} = 3.5 {GeV}^{2}$ by polarization transfer [Phys. Rev. C 71, 055202 (2005)]
journal, June 2005

Punjabi, V.; Perdrisat, C. F.; Aniol, K. A.
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Two-Photon Physics in Hadronic Processes
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Two-Photon Exchange and Elastic Electron-Proton Scattering
journal, October 2003

Blunden, P. G.; Melnitchouk, W.; Tjon, J. A.
Physical Review Letters, Vol. 91, Issue 14
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Two-photon exchange in elastic electron-nucleon scattering
journal, September 2005

Blunden, P. G.; Melnitchouk, W.; Tjon, J. A.
Physical Review C, Vol. 72, Issue 3
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$Δ$ Resonance Contribution to Two-Photon Exchange in Electron-Proton Scattering
journal, October 2005

Kondratyuk, S.; Blunden, P. G.; Melnitchouk, W.
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Contribution of spin 1/2 and 3/2 resonances to two-photon exchange effects in elastic electron-proton scattering
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Global analysis of proton elastic form factor data with two-photon exchange corrections
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Works referencing / citing this record:

Towards a Resolution of the Proton Form Factor Problem: New Electron and Positron Scattering Data
journal, February 2015

Adikaram, D.; Rimal, D.; Weinstein, L. B.
Physical Review Letters, Vol. 114, Issue 6
DOI: 10.1103/physrevlett.114.062003

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Title: Two-photon exchange corrections to the pion form factor

Abstract

Citation Formats

Determination of the Pion Charge Form Factor at Q 2 = 1.60 and 2.45 ( GeV / c ) 2 journal, November 2006

Determination of the pion charge form factor for Q 2 = 0.60–1.60 GeV 2 journal, May 2007

Charged pion form factor between Q 2 = 0 . 60 and 2 . 45 GeV 2 . II. Determination of, and results for, the pion form factor journal, October 2008

G E p / G M p Ratio by Polarization Transfer in e → p → e p → journal, February 2000

Measurement of G E p / G M p in e → p → e p → to Q 2 = 5.6 GeV 2 journal, February 2002

Proton elastic form factor ratios to Q 2 = 3.5 GeV 2 by polarization transfer journal, May 2005

Publisher's Note: Proton elastic form factor ratios to Q 2 = 3.5 GeV 2 by polarization transfer [Phys. Rev. C 71, 055202 (2005)] journal, June 2005

Two-Photon Physics in Hadronic Processes journal, November 2007

Two-Photon Exchange and Elastic Electron-Proton Scattering journal, October 2003

Two-photon exchange in elastic electron-nucleon scattering journal, September 2005

Δ Resonance Contribution to Two-Photon Exchange in Electron-Proton Scattering journal, October 2005

Contribution of spin 1/2 and 3/2 resonances to two-photon exchange effects in elastic electron-proton scattering journal, March 2007

Radiative Corrections to Elastic and Inelastic ep and up Scattering journal, January 1969

Radiative Corrections to Electron-Proton Scattering journal, June 1961

Scalar one-loop integrals journal, January 1979

Feyn Calc - Computer-algebraic calculation of Feynman amplitudes journal, June 1991

Quark-hadron duality in electron-pion scattering journal, June 2003

Radiative corrections for ( e , e ′ p ) reactions at GeV energies journal, October 2001

Radiative corrections to electron-proton scattering journal, October 2000

Global analysis of proton elastic form factor data with two-photon exchange corrections journal, September 2007

Towards a Resolution of the Proton Form Factor Problem: New Electron and Positron Scattering Data journal, February 2015

Determination of the Pion Charge Form Factor at $Q^{2} = 1.60$ and $2.45 (GeV / c)^{2}$
journal, November 2006

Determination of the pion charge form factor for $Q^{2} =$ 0.60–1.60 GeV $^{2}$
journal, May 2007

Charged pion form factor between $Q^{2} = 0.60$ and $2.45 GeV^{2}$ . II. Determination of, and results for, the pion form factor
journal, October 2008

$G_{E_{p}} / G_{M_{p}}$ Ratio by Polarization Transfer in $\vec{e} p \to e \vec{p}$
journal, February 2000

Measurement of $G_{E_{p}} / G_{M_{p}}$ in $\vec{e} p \to e \vec{p}$ to $Q^{2} = 5.6 {GeV}^{2}$
journal, February 2002

Proton elastic form factor ratios to $Q^{2} = 3.5 GeV^{2}$ by polarization transfer
journal, May 2005

Publisher's Note: Proton elastic form factor ratios to $Q^{2} = 3.5 {GeV}^{2}$ by polarization transfer [Phys. Rev. C 71, 055202 (2005)]
journal, June 2005

Two-Photon Physics in Hadronic Processes
journal, November 2007

Two-Photon Exchange and Elastic Electron-Proton Scattering
journal, October 2003

Two-photon exchange in elastic electron-nucleon scattering
journal, September 2005

$Δ$ Resonance Contribution to Two-Photon Exchange in Electron-Proton Scattering
journal, October 2005

Contribution of spin 1/2 and 3/2 resonances to two-photon exchange effects in elastic electron-proton scattering
journal, March 2007

Radiative Corrections to Elastic and Inelastic $ep$ and $up$ Scattering
journal, January 1969

Radiative Corrections to Electron-Proton Scattering
journal, June 1961

Scalar one-loop integrals
journal, January 1979

Feyn Calc - Computer-algebraic calculation of Feynman amplitudes
journal, June 1991

Quark-hadron duality in electron-pion scattering
journal, June 2003

Radiative corrections for ${(e, e}^{'} p)$ reactions at GeV energies
journal, October 2001

Radiative corrections to electron-proton scattering
journal, October 2000

Global analysis of proton elastic form factor data with two-photon exchange corrections
journal, September 2007

Towards a Resolution of the Proton Form Factor Problem: New Electron and Positron Scattering Data
journal, February 2015