Structure of pion photoproduction amplitudes

Mathieu, V.; Nys, J.; Fernández-Ramírez, C.; Blin, A. N. Hiller; Jackura, A.; Pilloni, A.; Szczepaniak, A. P.; Fox, G.

doi:10.1103/PhysRevD.98.014041

Title: Structure of pion photoproduction amplitudes

Abstract

We derive and apply the finite energy sum rules to pion photoproduction. We evaluate the low-energy part of the sum rules using several state-of-the-art models. Here, we show how the differences in the low-energy side of the sum rules might originate from different quantum number assignments of baryon resonances. We interpret the observed features in the low-energy side of the sum rules with the expectation from Regge theory. Finally, we present a model, in terms of a Regge-pole expansion, that matches the sum rules and the high-energy observables.

Authors:: Mathieu, V.; Nys, J.; Fernández-Ramírez, C.; Blin, A. N. Hiller; Jackura, A.; Pilloni, A.; Szczepaniak, A. P.; Fox, G.; Joint Physics Analysis Center

Publication Date:: 2018-07-31

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

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP); National Science Foundation (NSF)

Contributing Org.:: Joint Physics Analysis Center

OSTI Identifier:: 1462289

Alternate Identifier(s):: OSTI ID: 1462943

Report Number(s):: JLAB-THY-18-2755; DOE/OR/-23177-4485; arXiv:1806.08414
Journal ID: ISSN 2470-0010; PRVDAQ; 014041

Grant/Contract Number:: AC05-06OR23177; FG02-87ER40365; PHY-1415459; PHY-1205019; PHY-1513524; IA101717; 251817

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 98 Journal Issue: 1; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats


                    Mathieu, V., Nys, J., Fernández-Ramírez, C., Blin, A. N. Hiller, Jackura, A., Pilloni, A., Szczepaniak, A. P., Fox, G., and Joint Physics Analysis Center. Structure of pion photoproduction amplitudes.  United States: N. p., 2018. 
        Web.  doi:10.1103/PhysRevD.98.014041.

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                    Mathieu, V., Nys, J., Fernández-Ramírez, C., Blin, A. N. Hiller, Jackura, A., Pilloni, A., Szczepaniak, A. P., Fox, G., & Joint Physics Analysis Center. Structure of pion photoproduction amplitudes.  United States.  doi:https://doi.org/10.1103/PhysRevD.98.014041

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                    Mathieu, V., Nys, J., Fernández-Ramírez, C., Blin, A. N. Hiller, Jackura, A., Pilloni, A., Szczepaniak, A. P., Fox, G., and Joint Physics Analysis Center. Tue .  
        "Structure of pion photoproduction amplitudes".  United States.  doi:https://doi.org/10.1103/PhysRevD.98.014041.

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@article{osti_1462289,

  title        = {Structure of pion photoproduction amplitudes},

  author       = {Mathieu, V. and Nys, J. and Fernández-Ramírez, C. and Blin, A. N. Hiller and Jackura, A. and Pilloni, A. and Szczepaniak, A. P. and Fox, G. and Joint Physics Analysis Center},

  abstractNote = {We derive and apply the finite energy sum rules to pion photoproduction. We evaluate the low-energy part of the sum rules using several state-of-the-art models. Here, we show how the differences in the low-energy side of the sum rules might originate from different quantum number assignments of baryon resonances. We interpret the observed features in the low-energy side of the sum rules with the expectation from Regge theory. Finally, we present a model, in terms of a Regge-pole expansion, that matches the sum rules and the high-energy observables.},

  doi          = {10.1103/PhysRevD.98.014041},

  journal      = {Physical Review D},

  number       = 1,

  volume       = 98,

  place        = {United States},

  year         = {2018},

  month        = {7}

}

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DOI: https://doi.org/10.1103/PhysRevD.98.014041

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Works referenced in this record:

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Title: Structure of pion photoproduction amplitudes

Abstract

Citation Formats

Evaluation of the γ n → π − p differential cross section in the Δ -isobar region journal, December 2012

Charged pion photoproduction and finite energy sum rules journal, May 1969

Regge models of forward pion and ETA photoproduction journal, February 1972

Finite-energy sum rules in eta photoproduction off a nucleon journal, February 2017

Photoproduction and electroproduction of pions (I) dispersion relation theory journal, December 1967

Unitary isobar model --MAID2007 journal, October 2007

Mesons in a relativized quark model with chromodynamics journal, July 1985

Review of Particle Physics journal, October 2016

Construction of π± photoproduction amplitudes at high energy from dispersion relations and local duality journal, April 1973

Photoproduction of π 0 's from Neutrons at 4 GeV journal, October 1971

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

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

Model selection for pion photoproduction journal, January 2017

Measurements of π 0 Photoproduction Cross Sections for Incident Gamma-Ray Energies of 2.0 to 5.0 GeV journal, May 1967

Isospin decomposition of γ N → N * transitions within a dynamical coupled-channels model journal, July 2016

Relativistic Dispersion Relation Approach to Photomeson Production journal, June 1957

Pion and kaon photoproduction at high energies: forward and intermediate angles journal, December 1997

Completeness rules for spin observables in pseudoscalar meson photoproduction journal, April 1997

π 0 Photoproduction in a Weak-Regge-Cut Model journal, February 1973

5- to 16-GeV Single- π + Photoproduction from Hydrogen journal, February 1968

Amplitude constraints in π0 photoproduction journal, June 1973

Analysis of π0 photoproduction at intermediate and high energies journal, September 1974

The Joint Physics Analysis Center website conference, January 2016

Regge poles and cuts in π0 photoproduction and related reactions journal, May 1978

High energy pion photoproduction amplitudes from fixed-t dispersion relations and duality journal, February 1974

A Regge pole model fit of pion and K meson photoproduction journal, November 1967

Dispersion theory and the low-energy constants for neutral-pion photoproduction journal, February 2006

Regge approach to charged pion photoproduction at invariant energies above 2 GeV journal, October 2007

Application of the Mandelstam Representation to Photoproduction of Pions from Nucleons journal, December 1961

Patterns of Exchange Deceneracies journal, December 1970

A phenomenological analysis of forward high-energy charged-pion photoproduction journal, March 1991

An analysis of single-pion photoproduction between threshold and 16 GeV lab energy journal, August 1978

Photon– and pion–nucleon interactions in a unitary and causal effective field theory based on the chiral Lagrangian journal, December 2010

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

Analysis of single pion photoproduction at high and low energies journal, August 1976

Regge Poles and the Photoproduction of Pions journal, November 1963

Determination of resonance couplings and high energy amplitudes in γN → πN using fixed-t dispersion relations journal, September 1974

Recoil-Proton Polarization in Neutral-Pion Photoproduction and in Proton Compton Scattering journal, December 1972

Baryon Resonances and Electromagnetic Couplings journal, September 1978

Effective Lagrangian Approach to pion photoproduction from the nucleon journal, June 2006

Neutral pion photoproduction at high energies journal, May 2009

A simple formulation of high-energy exchange models in terms of direct-channel amplitudes journal, June 1968

Model discrimination in pseudoscalar-meson photoproduction journal, May 2016

π+ production with linearly polarized photons journal, March 1969

Compton Scattering from Hydrogen Between 5 and 17 GeV journal, October 1970

Structure of Amplitudes of Neutral-Pion Photoproduction journal, October 1973

Electromagnetic excitation of nucleon resonances journal, September 2011

Photoproduction of Single Charged Pions from Deuterium and Hydrogen journal, July 1967

Erratum to: Photocouplings at the pole from pion photoproduction journal, May 2015

Unified Chew-Mandelstam SAID analysis of pion photoproduction data journal, July 2012

Polarized target asymmetry for pi-zero photoproduction at 4 GeV journal, March 1972

Regge phenomenology journal, December 1977

Neutral pion photoproduction in a Regge model journal, October 2015

Updated SAID analysis of pion photoproduction data journal, February 2012

The impact of new polarization data from Bonn, Mainz and Jefferson Laboratory on $\gamma p \rightarrow \pi N$ multipoles journal, September 2016

π 0 Photoproduction from Neutrons journal, December 1972

Photocouplings at the pole from pion photoproduction journal, June 2014

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

Regge phenomenology of pion photoproduction off the nucleon at forward angles journal, February 2011

Measurement of the beam asymmetry Σ for π 0 and η photoproduction on the proton at E γ = 9 GeV journal, April 2017

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

First measurement of the polarization observable E in the p → ( γ → , π + ) n reaction up to 2.25 GeV journal, November 2015

Photoproduction of Charged Pions by 2- to 5-GeV Tagged γ Rays journal, March 1967

π N scattering and γ N → N π photoproduction within the unitary improved Born approximation journal, May 2007

High-Energy π 0 Photoproduction from Hydrogen with Unpolarized and Linearly Polarized Photons journal, October 1971

A model for charged π rmN and πΔ photoproduction journal, March 1974

Single photoproduction of neutral π-mesons on deuterium in the forward direction at 4 GeV journal, January 1973

On the η and η ′ photoproduction beam asymmetry at high energies journal, November 2017

Toward complete pion nucleon amplitudes journal, October 2015

Determining pseudoscalar meson photoproduction amplitudes from complete experiments journal, April 2011

π 0 and ρ 0 photoproduction from 6 to 18 GeV journal, February 1974

Asymmetries in Charged-Pion Photoproduction on Nucleons by 16-GeV Polarized Photons journal, June 1973

Evaluation of the $γ n \to π^{-} p$ differential cross section in the $Δ$ -isobar region
journal, December 2012

Charged pion photoproduction and finite energy sum rules
journal, May 1969

Regge models of forward pion and ETA photoproduction
journal, February 1972

Finite-energy sum rules in eta photoproduction off a nucleon
journal, February 2017

Photoproduction and electroproduction of pions (I) dispersion relation theory
journal, December 1967

Unitary isobar model --MAID2007
journal, October 2007

Mesons in a relativized quark model with chromodynamics
journal, July 1985

Review of Particle Physics
journal, October 2016

Construction of π± photoproduction amplitudes at high energy from dispersion relations and local duality
journal, April 1973

Photoproduction of $π^{0}$ 's from Neutrons at 4 GeV
journal, October 1971

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

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

Model selection for pion photoproduction
journal, January 2017

Measurements of $π^{0}$ Photoproduction Cross Sections for Incident Gamma-Ray Energies of 2.0 to 5.0 GeV
journal, May 1967

Isospin decomposition of $γ N \to N^{*}$ transitions within a dynamical coupled-channels model
journal, July 2016

Relativistic Dispersion Relation Approach to Photomeson Production
journal, June 1957

Pion and kaon photoproduction at high energies: forward and intermediate angles
journal, December 1997

Completeness rules for spin observables in pseudoscalar meson photoproduction
journal, April 1997

$π^{0}$ Photoproduction in a Weak-Regge-Cut Model
journal, February 1973

5- to 16-GeV Single- $π^{+}$ Photoproduction from Hydrogen
journal, February 1968

Amplitude constraints in π0 photoproduction
journal, June 1973

Analysis of π0 photoproduction at intermediate and high energies
journal, September 1974

The Joint Physics Analysis Center website
conference, January 2016

Regge poles and cuts in π0 photoproduction and related reactions
journal, May 1978

High energy pion photoproduction amplitudes from fixed-t dispersion relations and duality
journal, February 1974

A Regge pole model fit of pion and K meson photoproduction
journal, November 1967

Dispersion theory and the low-energy constants for neutral-pion photoproduction
journal, February 2006

Regge approach to charged pion photoproduction at invariant energies above 2 GeV
journal, October 2007

Application of the Mandelstam Representation to Photoproduction of Pions from Nucleons
journal, December 1961

Patterns of Exchange Deceneracies
journal, December 1970

A phenomenological analysis of forward high-energy charged-pion photoproduction
journal, March 1991

An analysis of single-pion photoproduction between threshold and 16 GeV lab energy
journal, August 1978

Photon– and pion–nucleon interactions in a unitary and causal effective field theory based on the chiral Lagrangian
journal, December 2010

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

Analysis of single pion photoproduction at high and low energies
journal, August 1976

Regge Poles and the Photoproduction of Pions
journal, November 1963

Determination of resonance couplings and high energy amplitudes in γN → πN using fixed-t dispersion relations
journal, September 1974

Recoil-Proton Polarization in Neutral-Pion Photoproduction and in Proton Compton Scattering
journal, December 1972

Baryon Resonances and Electromagnetic Couplings
journal, September 1978

Effective Lagrangian Approach to pion photoproduction from the nucleon
journal, June 2006

Neutral pion photoproduction at high energies
journal, May 2009

A simple formulation of high-energy exchange models in terms of direct-channel amplitudes
journal, June 1968

Model discrimination in pseudoscalar-meson photoproduction
journal, May 2016

π+ production with linearly polarized photons
journal, March 1969

Compton Scattering from Hydrogen Between 5 and 17 GeV
journal, October 1970

Structure of Amplitudes of Neutral-Pion Photoproduction
journal, October 1973

Electromagnetic excitation of nucleon resonances
journal, September 2011

Photoproduction of Single Charged Pions from Deuterium and Hydrogen
journal, July 1967

Erratum to: Photocouplings at the pole from pion photoproduction
journal, May 2015

Unified Chew-Mandelstam SAID analysis of pion photoproduction data
journal, July 2012

Polarized target asymmetry for pi-zero photoproduction at 4 GeV
journal, March 1972

Regge phenomenology
journal, December 1977

Neutral pion photoproduction in a Regge model
journal, October 2015

Updated SAID analysis of pion photoproduction data
journal, February 2012

The impact of new polarization data from Bonn, Mainz and Jefferson Laboratory on $\gamma p \rightarrow \pi N$ multipoles
journal, September 2016

$π^{0}$ Photoproduction from Neutrons
journal, December 1972

Photocouplings at the pole from pion photoproduction
journal, June 2014

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

Regge phenomenology of pion photoproduction off the nucleon at forward angles
journal, February 2011

Measurement of the beam asymmetry $Σ$ for $π^{0}$ and $η$ photoproduction on the proton at $E_{γ} = 9$ GeV
journal, April 2017

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

First measurement of the polarization observable E in the $\vec{p} (\vec{γ}, π^{+}) n$ reaction up to 2.25 GeV
journal, November 2015

Photoproduction of Charged Pions by 2- to 5-GeV Tagged $γ$ Rays
journal, March 1967

π N scattering and γ N → N π photoproduction within the unitary improved Born approximation
journal, May 2007

High-Energy $π^{0}$ Photoproduction from Hydrogen with Unpolarized and Linearly Polarized Photons
journal, October 1971

A model for charged π rmN and πΔ photoproduction
journal, March 1974

Single photoproduction of neutral π-mesons on deuterium in the forward direction at 4 GeV
journal, January 1973

On the η and η ′ photoproduction beam asymmetry at high energies
journal, November 2017

Toward complete pion nucleon amplitudes
journal, October 2015

Determining pseudoscalar meson photoproduction amplitudes from complete experiments
journal, April 2011

$π^{0}$ and $ρ^{0}$ photoproduction from 6 to 18 GeV
journal, February 1974

Asymmetries in Charged-Pion Photoproduction on Nucleons by 16-GeV Polarized Photons
journal, June 1973