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Title: Analytic pion form factor

Journal Article · · Physical Review. D.
 [1];  [2]
  1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
  2. Univ. degli Studi di Perugia (Italy)

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.

Research Organization:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
SC0011090
OSTI ID:
1505783
Alternate ID(s):
OSTI ID: 1322443
Journal Information:
Physical Review. D., Vol. 94, Issue 5; ISSN 2470-0010
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 4 works
Citation information provided by
Web of Science

References (31)

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
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:mi>e</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>e</mml:mi><mml:mo>−</mml:mo></mml:msup><mml:mo>→</mml:mo><mml:msup><mml:mi>π</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>π</mml:mi><mml:mo>−</mml:mo></mml:msup><mml:mo stretchy="false">)</mml:mo></mml:math> from threshold to 0.85 GeV2 using initial state radiation with the KLOE detector journal June 2011
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
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 journal March 2013
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
Growth mechanisms and defects in boronated CVD diamond as identified by scanning tunneling microscopy journal May 1995

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