Toward complete pion nucleon amplitudes

Mathieu, Vincent; Danilkin, Igor V.; Fernández-Ramírez, Cesar; Pennington, Michael R.; Schott, Diane M.; Szczepaniak, Adam P.; Fox, G.

doi:10.1103/PhysRevD.92.074004

Title: Toward complete pion nucleon amplitudes

Abstract

We compare the low-energy partial wave analyses πN scattering with a high-energy data via finite energy sum rules. We also construct a new set of amplitudes by matching the imaginary part from the low-energy analysis with the high-energy, Regge parametrization and then reconstruct the real parts using dispersion relations.

Authors:

Mathieu, Vincent ^[1]; Danilkin, Igor V. ^[2]; Fernández-Ramírez, Cesar ^[2]; Pennington, Michael R. ^[2]; Schott, Diane M. ^[3]; Szczepaniak, Adam P. ^[4]; Fox, G. ^[1]

Indiana Univ., Bloomington, IN (United States)
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); George Washington Univ., Washington, DC (United States)
Indiana Univ., Bloomington, IN (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Publication Date:: Mon Oct 05 00:00:00 EDT 2015

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:: 1222585

Alternate Identifier(s):: OSTI ID: 1222858

Report Number(s):: JLAB-THY-15-2056; DOE/OR/23177-3366; arXiv:1506.01764
Journal ID: ISSN 1550-7998; PRVDAQ

Grant/Contract Number:: AC05-06OR23177; FG0287ER40365; PHY-1415459

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review. D, Particles, Fields, Gravitation and Cosmology

Additional Journal Information:: Journal Volume: 92; Journal Issue: 7; Journal ID: ISSN 1550-7998

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Mathieu, Vincent, Danilkin, Igor V., Fernández-Ramírez, Cesar, Pennington, Michael R., Schott, Diane M., Szczepaniak, Adam P., and Fox, G. Toward complete pion nucleon amplitudes.  United States: N. p., 2015. 
Web.  doi:10.1103/PhysRevD.92.074004.

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                    Mathieu, Vincent, Danilkin, Igor V., Fernández-Ramírez, Cesar, Pennington, Michael R., Schott, Diane M., Szczepaniak, Adam P., & Fox, G. Toward complete pion nucleon amplitudes.  United States.  https://doi.org/10.1103/PhysRevD.92.074004

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                    Mathieu, Vincent, Danilkin, Igor V., Fernández-Ramírez, Cesar, Pennington, Michael R., Schott, Diane M., Szczepaniak, Adam P., and Fox, G. Mon .  
"Toward complete pion nucleon amplitudes".  United States.  https://doi.org/10.1103/PhysRevD.92.074004.  https://www.osti.gov/servlets/purl/1222585.

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@article{osti_1222585,

  title        = {Toward complete pion nucleon amplitudes},

  author       = {Mathieu, Vincent and Danilkin, Igor V. and Fernández-Ramírez, Cesar and Pennington, Michael R. and Schott, Diane M. and Szczepaniak, Adam P. and Fox, G.},

  abstractNote = {We compare the low-energy partial wave analyses πN scattering with a high-energy data via finite energy sum rules. We also construct a new set of amplitudes by matching the imaginary part from the low-energy analysis with the high-energy, Regge parametrization and then reconstruct the real parts using dispersion relations.},

  doi          = {10.1103/PhysRevD.92.074004},

  journal      = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},

  number       = 7,

  volume       = 92,

  place        = {United States},

  year         = {Mon Oct 05 00:00:00 EDT 2015},

  month        = {Mon Oct 05 00:00:00 EDT 2015}

}

Copy to clipboard

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Works referenced in this record:

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Works referencing / citing this record:

On the existence of N*(890) resonance in S11 channel of πN scatterings
journal, December 2018

Wang, Yu-Fei; Yao, De-Liang; Zheng, Han-Qing
Frontiers of Physics, Vol. 14, Issue 2
DOI: 10.1007/s11467-018-0877-9

Measurement of the beam asymmetry Σ for π0 and η photoproduction on the proton at Eγ=9 GeV
text, January 2017

Al Ghoul, H.; Anassontzis, E. G.; Austregesilo, A.
Figshare
DOI: 10.1184/r1/4926080

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Similar Records

Title: Toward complete pion nucleon amplitudes

Abstract

Citation Formats

Baryon spectroscopy journal, April 2010

Energy dependence of the ρ resonance in π π elastic scattering from lattice QCD journal, February 2013

Resonances in Coupled π K − η K Scattering from Quantum Chromodynamics journal, October 2014

Properties of baryon resonances from a multichannel partial wave analysis journal, February 2012

Nucleon resonances within a dynamical coupled-channels model of π N and γ N reactions journal, September 2013

Review of Particle Physics journal, July 2012

Analysis Tools for Next-Generation Hadron Spectroscopy Experiments journal, January 2015

Veneziano theory journal, September 1970

Pion-nucleon partial-wave analysis with fixed- t dispersion relation constraints journal, May 1994

Updated analysis of π N elastic scattering data to 2.1 GeV: The baryon spectrum journal, October 1995

Dispersion relation constrained partial wave analysis of π N elastic and π N → η N scattering data: The baryon spectrum journal, March 2004

Prediction of Regge Parameters of ρ Poles from Low-Energy π N Data journal, August 1967

Parameterization dependence of T -matrix poles and eigenphases from a fit to π N elastic scattering data journal, September 2012

Application of Dispersion Relations to Low-Energy Meson-Nucleon Scattering journal, June 1957

Pion-Nucleon Scattering Amplitudes in the Range 300-700 MeV journal, September 1965

On the general theory of collisions for particles with spin journal, August 1959

Pion- and photo-induced transition amplitudes to ΛK, ΣK and Nη journal, June 2012

Coupled-channel dynamics in the reactions πN → πN, ηN, KΛ, KΣ journal, April 2013

Dispersion sum rules for strong and electromagnetic interactions journal, October 1972

An Introduction to Regge Theory and High Energy Physics book, October 2011

Regge phenomenology journal, December 1977

Pion Charge-Exchange Scattering at High Energies journal, July 1976

Small-Angle Charge Exchange of π − Mesons between 6 and 18 GeV/ c journal, May 1965

Precise Tests of Triple-Regge Theory from π 0 and η Inclusive Production in 100-GeV/ c π ± p Collisions journal, November 1978

Inclusive π0 and η production from 100 GeV/c π±p collisions in the triple regge region journal, November 1978

Meson Regge Exchanges from Simultaneous Analysis of π N Scattering Data and Dispersion Sum Rules journal, November 1969

Patterns of Exchange Deceneracies journal, December 1970

The Physics of Glueballs journal, January 2009

π ± p , K ± p , pp , and p ¯ p elastic scattering from 50 to 175 GeV/ c journal, June 1977

Hadron-proton elastic scattering at 50, 100, and 200 GeV/ c momentum journal, December 1976

Systematic study of π ± p , K ± p , pp , and p ¯ p forward elastic scattering from 3 to 6 GeV c journal, March 1974

Polarization measurements in π+ p and K+ p elastic scattering at 6 and 12 GeV/c with the CERN polarized deuteron target journal, January 1979

Measurement of the polarization parameter in π+p elastic scattering at 10, 14 and 17.5 GeV/c and for | t | ⪅ 2 (GeV/c)2 journal, October 1971

Measurements of the Polarization Parameter in π ± p Elastic Scattering Between 2.50 and 5.15 GeV/ c journal, September 1973

Fermion Regge-Pole Model for the Structure of Pion-Nucleon Elastic Scattering in the Backward Hemisphere journal, March 1967

Simultaneous Fit for Forward and Backward Pion-Nucleon Charge-Exchange Scattering journal, February 1973

Backward pion-nucleon scattering journal, February 2010

Dispersion sum rules and high energy scattering journal, February 1967

New Sum Rules and Singularities in the Complex J Plane journal, April 1967

Finite-Energy Sum Rules and Their Application to π N Charge Exchange journal, February 1968

Pion-nucleon charge exchange amplitudes above 2 GeV journal, February 2009

Forward pion-nucleon charge exchange reaction and Regge constraints journal, December 2009

On the existence of N*(890) resonance in S11 channel of πN scatterings journal, December 2018

Measurement of the beam asymmetry Σ for π0 and η photoproduction on the proton at Eγ=9 GeV text, January 2017

Baryon spectroscopy
journal, April 2010

Energy dependence of the $ρ$ resonance in $π π$ elastic scattering from lattice QCD
journal, February 2013

Resonances in Coupled $π K − η K$ Scattering from Quantum Chromodynamics
journal, October 2014

Properties of baryon resonances from a multichannel partial wave analysis
journal, February 2012

Nucleon resonances within a dynamical coupled-channels model of $π N$ and $γ N$ reactions
journal, September 2013

Review of Particle Physics
journal, July 2012

Analysis Tools for Next-Generation Hadron Spectroscopy Experiments
journal, January 2015

Veneziano theory
journal, September 1970

Pion-nucleon partial-wave analysis with fixed- t dispersion relation constraints
journal, May 1994

Updated analysis of π N elastic scattering data to 2.1 GeV: The baryon spectrum
journal, October 1995

Dispersion relation constrained partial wave analysis of $π N$ elastic and $π N \to η N$ scattering data: The baryon spectrum
journal, March 2004

Prediction of Regge Parameters of $ρ$ Poles from Low-Energy $π N$ Data
journal, August 1967

Parameterization dependence of $T$ -matrix poles and eigenphases from a fit to $π N$ elastic scattering data
journal, September 2012

Application of Dispersion Relations to Low-Energy Meson-Nucleon Scattering
journal, June 1957

Pion-Nucleon Scattering Amplitudes in the Range 300-700 MeV
journal, September 1965

On the general theory of collisions for particles with spin
journal, August 1959

Pion- and photo-induced transition amplitudes to ΛK, ΣK and Nη
journal, June 2012

Coupled-channel dynamics in the reactions πN → πN, ηN, KΛ, KΣ
journal, April 2013

Dispersion sum rules for strong and electromagnetic interactions
journal, October 1972

An Introduction to Regge Theory and High Energy Physics
book, October 2011

Regge phenomenology
journal, December 1977

Pion Charge-Exchange Scattering at High Energies
journal, July 1976

Small-Angle Charge Exchange of $π^{-}$ Mesons between 6 and 18 GeV/ c
journal, May 1965

Precise Tests of Triple-Regge Theory from $π^{0}$ and $η$ Inclusive Production in 100-GeV/ c $π \pm p$ Collisions
journal, November 1978

Inclusive π0 and η production from 100 GeV/c π±p collisions in the triple regge region
journal, November 1978

Meson Regge Exchanges from Simultaneous Analysis of $π N$ Scattering Data and Dispersion Sum Rules
journal, November 1969

Patterns of Exchange Deceneracies
journal, December 1970

The Physics of Glueballs
journal, January 2009

$π^{\pm} p$ , $K^{\pm} p$ , $pp$ , and $\bar{p} p$ elastic scattering from 50 to 175 GeV/ c
journal, June 1977

Hadron-proton elastic scattering at 50, 100, and 200 GeV/ c momentum
journal, December 1976

Systematic study of $π^{\pm} p$ , $K^{\pm} p$ , $pp$ , and $\bar{p} p$ forward elastic scattering from $3 to 6 \frac{GeV}{c}$
journal, March 1974

Polarization measurements in π+ p and K+ p elastic scattering at 6 and 12 GeV/c with the CERN polarized deuteron target
journal, January 1979

Measurement of the polarization parameter in π+p elastic scattering at 10, 14 and 17.5 GeV/c and for | t | ⪅ 2 (GeV/c)2
journal, October 1971

Measurements of the Polarization Parameter in $π^{\pm} p$ Elastic Scattering Between 2.50 and 5.15 GeV/ c
journal, September 1973

Fermion Regge-Pole Model for the Structure of Pion-Nucleon Elastic Scattering in the Backward Hemisphere
journal, March 1967

Simultaneous Fit for Forward and Backward Pion-Nucleon Charge-Exchange Scattering
journal, February 1973

Backward pion-nucleon scattering
journal, February 2010

Dispersion sum rules and high energy scattering
journal, February 1967

New Sum Rules and Singularities in the Complex $J$ Plane
journal, April 1967

Finite-Energy Sum Rules and Their Application to $π N$ Charge Exchange
journal, February 1968

Pion-nucleon charge exchange amplitudes above 2 GeV
journal, February 2009

Forward pion-nucleon charge exchange reaction and Regge constraints
journal, December 2009

On the existence of N*(890) resonance in S11 channel of πN scatterings
journal, December 2018

Measurement of the beam asymmetry Σ for π0 and η photoproduction on the proton at Eγ=9 GeV
text, January 2017