Correlations of πN partial waves for multireaction analyses

Doring, M.; Revier, J.; Ronchen, D.; Workman, R. L.

doi:10.1103/PhysRevC.93.065205

Title: Correlations of $π N$ partial waves for multireaction analyses

Abstract

In the search for missing baryonic resonances, many analyses include data from a variety of pion- and photon-induced reactions. For elastic πN scattering, however, usually the partial waves of the SAID (Scattering Analysis Interactive Database) or other groups are fitted, instead of data. We provide the partial-wave covariance matrices needed to perform correlated χ² fits, in which the obtained χ² equals the actual χ² up to nonlinear and normalization corrections. For any analysis relying on partial waves extracted from elastic pion scattering, this is a prerequisite to assess the significance of resonance signals and to assign any uncertainty on results. Lastly, the influence of systematic errors is also considered.

Authors:

Doring, M. ^[1]; Revier, J. ^[2]; Ronchen, D. ^[3]; Workman, R. L. ^[4]

George Washington Univ., Washington, D.C. (United States). Institute for Nuclear Studies; Astronomy Physics, and Statistics Institute of Sciences; Dept. of Physics; Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
George Washington Univ., Washington, D.C. (United States). Dept. of Physics
Univ. Bonn, Bonn (Germany). Helmholtz-Institut fur Strahlen -und Kernphysik (Theorie) and Bethe Center for Theoretical Physics
George Washington Univ., Washington, D.C. (United States). Institute for Nuclear Studies and Dept. of Physics

Publication Date:: Wed Jun 15 00:00:00 EDT 2016

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

Sponsoring Org.:: USDOE

OSTI Identifier:: 1306202

Alternate Identifier(s):: OSTI ID: 1257494

Report Number(s):: JLAB-THY-16-2320; DOE/OR/23177-3904; arXiv:1603.07265
Journal ID: ISSN 2469-9985; PRVCAN

Grant/Contract Number:: AC05-06OR23177; SC0014133; 1452055; 1415459

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review C

Additional Journal Information:: Journal Volume: 93; Journal Issue: 6; Related Information: Jefferson Lab publications link: https://misportal.jlab.org/ul/publications/view_pub.cfm?pub_id=14473; Journal ID: ISSN 2469-9985

Publisher:: APS

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats


                    Doring, M., Revier, J., Ronchen, D., and Workman, R. L. Correlations of πN partial waves for multireaction analyses.  United States: N. p., 2016. 
Web.  doi:10.1103/PhysRevC.93.065205.

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                    Doring, M., Revier, J., Ronchen, D., & Workman, R. L. Correlations of πN partial waves for multireaction analyses.  United States.  https://doi.org/10.1103/PhysRevC.93.065205

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                    Doring, M., Revier, J., Ronchen, D., and Workman, R. L. Wed .  
"Correlations of πN partial waves for multireaction analyses".  United States.  https://doi.org/10.1103/PhysRevC.93.065205.  https://www.osti.gov/servlets/purl/1306202.

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@article{osti_1306202,

  title        = {Correlations of πN partial waves for multireaction analyses},

  author       = {Doring, M. and Revier, J. and Ronchen, D. and Workman, R. L.},

  abstractNote = {In the search for missing baryonic resonances, many analyses include data from a variety of pion- and photon-induced reactions. For elastic πN scattering, however, usually the partial waves of the SAID (Scattering Analysis Interactive Database) or other groups are fitted, instead of data. We provide the partial-wave covariance matrices needed to perform correlated χ2 fits, in which the obtained χ2 equals the actual χ2 up to nonlinear and normalization corrections. For any analysis relying on partial waves extracted from elastic pion scattering, this is a prerequisite to assess the significance of resonance signals and to assign any uncertainty on results. Lastly, the influence of systematic errors is also considered.},

  doi          = {10.1103/PhysRevC.93.065205},

  journal      = {Physical Review C},

  number       = 6,

  volume       = 93,

  place        = {United States},

  year         = {Wed Jun 15 00:00:00 EDT 2016},

  month        = {Wed Jun 15 00:00:00 EDT 2016}

}

Copy to clipboard

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Physical Review C, Vol. 34, Issue 5
DOI: 10.1103/PhysRevC.34.1771

Low energy analyzing powers in pion–proton elastic scattering
journal, May 2004

Meier, R.; Cröni, M.; Bilger, R.
Physics Letters B, Vol. 588, Issue 3-4
DOI: 10.1016/j.physletb.2004.02.071

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Recent Developments in Chiral Unitary Theory and Triangle Singularities Involving Baryons
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Developments of the Jülich–Bonn Dynamical Coupled-Channel Analysis
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Döring, M.
Few-Body Systems, Vol. 59, Issue 6
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journal, June 2018

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The European Physical Journal A, Vol. 54, Issue 6
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Title: Correlations of $π N$ partial waves for multireaction analyses

Review of Particle Physics
journal, August 2014

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

Extended partial-wave analysis of $π N$ scattering data
journal, October 2006

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journal, October 1995

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journal, March 2004

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journal, December 1979

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journal, December 1979

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journal, December 1979

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journal, June 2015

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journal, June 2014

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journal, May 2015

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journal, September 2013

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journal, April 2013

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journal, February 2012

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journal, October 2013

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journal, November 2012

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journal, November 2010

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journal, July 1998

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journal, January 2001

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journal, May 2001

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journal, August 2015

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journal, November 2015

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journal, April 2016

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journal, November 2012

η-Photoproduction in a gauge-invariant chiral unitary framework
journal, October 2011

Chiral dynamics and the S11(1535) nucleon resonance
journal, November 1995

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journal, February 2002

Transition form factors of the $N^{*} (1535)$ as a dynamically generated resonance
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Role of the $N^{*} (1535)$ resonance and the $π^{-} p \to KY$ amplitudes in the OZI forbidden $π N \to ϕ N$ reaction
journal, August 2008

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journal, November 2009

Role of vector and pseudoscalar mesons in understanding $1 / 2^{-}$ $N^{*}$ and $Δ$ resonances
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Mixing of pseudoscalar-baryon and vector-baryon in the $J^{P} = 1 / 2^{-}$ sector and the $N^{}$ (1535) and $N^{}$ (1650) resonances
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journal, April 2004

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journal, April 2005

On the muon neutrino mass
journal, December 2006

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journal, April 2006

Radiative decay of the
journal, April 2007

Dynamically generated resonances from the vector octet-baryon octet interaction
journal, April 2010

Model dependence of the properties of $S_{11}$ baryon resonances
journal, February 2004

Strong decay of low-lying $S_{11}$ and $D_{13}$ nucleon resonances to pseudoscalar mesons and octet baryons
journal, October 2011

A chiral quark model for meson electroproduction in the S11 partial wave
journal, May 2011

Determination of the Nucleon-Nucleon Elastic-Scattering Matrix. IV. Comparison of Energy-Dependent and Energy-Independent Phase-Shift Analyses
journal, January 1966

On the use of the covariance matrix to fit correlated data
journal, July 1994

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journal, May 2010

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journal, November 1986

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journal, May 2018

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journal, October 2018

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journal, June 2018