Analytic pion form factor

doi:10.1103/physrevd.94.056002

Title: Analytic pion form factor

Abstract

The pion electromagnetic form factor and two-pion production in electron-positron collisions are simultaneously fitted by a vector dominance model evolving to perturbative QCD at large momentum transfer. This model was previously successful in simultaneously fitting the nucleon electromagnetic form factors (spacelike region) and the electromagnetic production of nucleon-antinucleon pairs (timelike region). For this pion case dispersion relations are used to produce the analytic connection of the spacelike and timelike regions. The fit to all the data is good, especially for the newer sets of timelike data. The description of high-q2 data, in the timelike region, requires one more meson with ρ quantum numbers than listed in the 2014 Particle Data Group review.

Authors:

Lomon, Earle L. ^[1]; Pacetti, Simone ^[2]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Univ. degli Studi di Perugia (Italy)

Publication Date:: 2016-09-08

Research Org.:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Org.:: USDOE Office of Science (SC)

OSTI Identifier:: 1505783

Alternate Identifier(s):: OSTI ID: 1322443

Grant/Contract Number:: SC0011090

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review D

Additional Journal Information:: Journal Volume: 94; Journal Issue: 5; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Lomon, Earle L., and Pacetti, Simone. Analytic pion form factor.  United States: N. p., 2016. 
        Web.  doi:10.1103/physrevd.94.056002.

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                    Lomon, Earle L., & Pacetti, Simone. Analytic pion form factor.  United States.  doi:10.1103/physrevd.94.056002.

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                    Lomon, Earle L., and Pacetti, Simone. Thu .  
        "Analytic pion form factor".  United States.  doi:10.1103/physrevd.94.056002.  https://www.osti.gov/servlets/purl/1505783.

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@article{osti_1505783,

  title        = {Analytic pion form factor},

  author       = {Lomon, Earle L. and Pacetti, Simone},

  abstractNote = {The pion electromagnetic form factor and two-pion production in electron-positron collisions are simultaneously fitted by a vector dominance model evolving to perturbative QCD at large momentum transfer. This model was previously successful in simultaneously fitting the nucleon electromagnetic form factors (spacelike region) and the electromagnetic production of nucleon-antinucleon pairs (timelike region). For this pion case dispersion relations are used to produce the analytic connection of the spacelike and timelike regions. The fit to all the data is good, especially for the newer sets of timelike data. The description of high-q2 data, in the timelike region, requires one more meson with ρ quantum numbers than listed in the 2014 Particle Data Group review.},

  doi          = {10.1103/physrevd.94.056002},

  journal      = {Physical Review D},

  number       = 5,

  volume       = 94,

  place        = {United States},

  year         = {2016},

  month        = {9}

}

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DOI: 10.1103/physrevd.94.056002

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FIG. 1: Feynman diagram of the one-photon exchange annihilation and scattering processes $e$⁺$e$⁻ → $π$⁺$π$⁻ and $e$⁺$π$^- → $e$⁺$π$^-. The octagon represents the nonpointlike pion vertex described by the FF.

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Works referenced in this record:

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Timelike and spacelike electromagnetic form factors of nucleons, a unified description
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Update of the e + e − → π+π− cross section measured by the spherical neutral detector in the energy region 400 < √s < 1000 MeV
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Achasov, M. N.; Beloborodov, K. I.; Berdyugin, A. V.
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A measurement of the space-like pion electromagnetic form factor
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Amendolia, S. R.; Arik, M.; Badelek, B.
Nuclear Physics B, Vol. 277
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Precision measurement of <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>σ</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:msup><mml:mrow><mml:mi>e</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup><mml:msup><mml:mrow><mml:mi>e</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup><mml:mo>→</mml:mo><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup><mml:mi>γ</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo stretchy="false">/</mml:mo><mml:mi>σ</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:msup><mml:mrow><mml:mi>e</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup><mml:msup><mml:mrow><mml:mi>e</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup><mml:mo>→</mml:mo><mml:msup><mml:mrow><mml:mi>μ</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup><mml:msup><mml:mrow><mml:mi>μ</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup><mml:mi>γ</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> and determination of the <mml:math altimg="si2.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup></mml:math> contribution to the muon anomaly with the KLOE detector
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Similar Records

Title: Analytic pion form factor

Abstract

Citation Formats

Figures / Tables:

Precise measurement of the e + e − → π + π − ( γ ) cross section with the initial-state radiation method at BABAR journal, August 2012

Erratum: Timelike and spacelike electromagnetic form factors of nucleons, a unified description [Phys. Rev. D 85 , 113004 (2012)] journal, August 2012

Analytic and unitary representation for the pion form factor at all Q 2 journal, March 1978

Exclusive processes in perturbative quantum chromodynamics journal, November 1980

Timelike and spacelike electromagnetic form factors of nucleons, a unified description journal, June 2012

On the precise determination of the differences of ρ -meson family parameters journal, January 2014

High-statistics measurement of the pion form factor in the ρ-meson energy range with the CMD-2 detector journal, April 2007

Scaling Laws at Large Transverse Momentum journal, October 1973

Analysis of experiments on the measurement of the pion electromagnetic formfactor journal, June 1989

Measurement of the e+e−→π+π− cross section between 600 and 900 MeV using initial state radiation journal, February 2016

Review of Particle Physics journal, August 2014

Pion form factor in the range −10 GeV2 ≤ s ≤ 1 GeV2 journal, January 2013

Connection between the electromagnetic form factors of hadrons and sidewise dispersion relations journal, November 1973

Electromagnetic form factor of the pion in the field-theory-inspired approach journal, April 2012

Pion electromagnetic form factor—data analysis and asymptotic behavior journal, April 1974

Vector-Meson Dominance and Current Algebra in the Parity-Violating Nonleptonic Decays of K Mesons and Hyperons journal, April 1967

Rho-omega mixing and the pion electromagnetic form-factor journal, July 1995

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

Update of the e + e − → π+π− cross section measured by the spherical neutral detector in the energy region 400 < √s < 1000 MeV journal, September 2006

A measurement of the space-like pion electromagnetic form factor journal, January 1986

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

Rigorous pion electromagnetic form factor behavior in the spacelike region journal, February 2011

Spacelike pion form factor from analytic continuation and the onset of perturbative QCD journal, May 2012

Automodellism in the large-angle elastic scattering and structure of hadrons journal, August 1973

Some General Relations between the Photoproduction and Scattering of π Mesons journal, July 1954

Meson and nucleon form factors with ϱ, ω and ϕ dominance journal, November 1973

π π Partial-Wave Analysis from Reactions π + p → π + π − Δ + + and π + p → K + K − Δ + + at 7.1 GeV/ c journal, March 1973

A new parameterization for the pion vector form factor journal, August 2012

Precise measurement of the $e^{+} e^{-} \to π^{+} π^{-} (γ)$ cross section with the initial-state radiation method at BABAR
journal, August 2012

Erratum: Timelike and spacelike electromagnetic form factors of nucleons, a unified description [Phys. Rev. D 85 , 113004 (2012)]
journal, August 2012

Analytic and unitary representation for the pion form factor at all $Q^{2}$
journal, March 1978

Exclusive processes in perturbative quantum chromodynamics
journal, November 1980

Timelike and spacelike electromagnetic form factors of nucleons, a unified description
journal, June 2012

On the precise determination of the differences of ρ -meson family parameters
journal, January 2014

High-statistics measurement of the pion form factor in the ρ-meson energy range with the CMD-2 detector
journal, April 2007

Scaling Laws at Large Transverse Momentum
journal, October 1973

Analysis of experiments on the measurement of the pion electromagnetic formfactor
journal, June 1989

Measurement of the e+e−→π+π− cross section between 600 and 900 MeV using initial state radiation
journal, February 2016

Review of Particle Physics
journal, August 2014

Pion form factor in the range −10 GeV2 ≤ s ≤ 1 GeV2
journal, January 2013

Connection between the electromagnetic form factors of hadrons and sidewise dispersion relations
journal, November 1973

Electromagnetic form factor of the pion in the field-theory-inspired approach
journal, April 2012

Pion electromagnetic form factor—data analysis and asymptotic behavior
journal, April 1974

Vector-Meson Dominance and Current Algebra in the Parity-Violating Nonleptonic Decays of $K$ Mesons and Hyperons
journal, April 1967

Rho-omega mixing and the pion electromagnetic form-factor
journal, July 1995

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

Update of the e + e − → π+π− cross section measured by the spherical neutral detector in the energy region 400 < √s < 1000 MeV
journal, September 2006

A measurement of the space-like pion electromagnetic form factor
journal, January 1986

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

Rigorous pion electromagnetic form factor behavior in the spacelike region
journal, February 2011

Spacelike pion form factor from analytic continuation and the onset of perturbative QCD
journal, May 2012

Automodellism in the large-angle elastic scattering and structure of hadrons
journal, August 1973

Some General Relations between the Photoproduction and Scattering of $π$ Mesons
journal, July 1954

Meson and nucleon form factors with ϱ, ω and ϕ dominance
journal, November 1973

$π π$ Partial-Wave Analysis from Reactions $π^{+} p \to π^{+} π^{-} Δ^{+ +}$ and $π^{+} p \to K^{+} K^{-} Δ^{+ +}$ at 7.1 GeV/ c
journal, March 1973

A new parameterization for the pion vector form factor
journal, August 2012