Legendre analysis of differential distributions in hadronic reactions

Azimov, Yakov I.; Strakovsky, Igor I.; Briscoe, William J.; Workman, Ron L.

doi:10.1103/PhysRevC.95.025205

Title: Legendre analysis of differential distributions in hadronic reactions

Abstract

Modern experimental facilities have provided a tremendous volume of reaction data, often with wide energy and angular coverage, and with increasing precision. For reactions with two hadrons in the final state, these data are often presented as multiple sets of panels, with angular distributions at numerous specific energies. Such presentations have limited visual appeal, and their physical content is typically extracted through some model-dependent treatment. Instead, we explore in this paper the use of a Legendre series expansion with a relatively small number of essential coefficients. This approach has been applied in several recent experimental investigations. Finally, we present some general properties of the Legendre coefficients in the helicity framework and consider what physical information can be extracted without any model-dependent assumptions.

Authors:

Azimov, Yakov I. ^[1]; Strakovsky, Igor I. ^[2]; Briscoe, William J. ^[2]; Workman, Ron L. ^[2]

NRC Kurchatov Inst., Gatchina (Russian Federation). Petersburg Nuclear Physics Inst.
George Washington Univ., Washington, DC (United States)

Publication Date:: Thu Feb 23 00:00:00 EST 2017

Research Org.:: George Washington Univ., Washington, DC (United States); NRC Kurchatov Inst., Gatchina (Russian Federation)

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

OSTI Identifier:: 1439721

Alternate Identifier(s):: OSTI ID: 1344818

Grant/Contract Number:: SC0016583; SC0014133; SC0016582; 14-22-00281

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review C

Additional Journal Information:: Journal Volume: 95; Journal Issue: 2; Journal ID: ISSN 2469-9985

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; photonuclear reactions; resonance reactions

Citation Formats


                    Azimov, Yakov I., Strakovsky, Igor I., Briscoe, William J., and Workman, Ron L. Legendre analysis of differential distributions in hadronic reactions.  United States: N. p., 2017. 
Web.  doi:10.1103/PhysRevC.95.025205.

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                    Azimov, Yakov I., Strakovsky, Igor I., Briscoe, William J., & Workman, Ron L. Legendre analysis of differential distributions in hadronic reactions.  United States.  https://doi.org/10.1103/PhysRevC.95.025205

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                    Azimov, Yakov I., Strakovsky, Igor I., Briscoe, William J., and Workman, Ron L. Thu .  
"Legendre analysis of differential distributions in hadronic reactions".  United States.  https://doi.org/10.1103/PhysRevC.95.025205.  https://www.osti.gov/servlets/purl/1439721.

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@article{osti_1439721,

  title        = {Legendre analysis of differential distributions in hadronic reactions},

  author       = {Azimov, Yakov I. and Strakovsky, Igor I. and Briscoe, William J. and Workman, Ron L.},

  abstractNote = {Modern experimental facilities have provided a tremendous volume of reaction data, often with wide energy and angular coverage, and with increasing precision. For reactions with two hadrons in the final state, these data are often presented as multiple sets of panels, with angular distributions at numerous specific energies. Such presentations have limited visual appeal, and their physical content is typically extracted through some model-dependent treatment. Instead, we explore in this paper the use of a Legendre series expansion with a relatively small number of essential coefficients. This approach has been applied in several recent experimental investigations. Finally, we present some general properties of the Legendre coefficients in the helicity framework and consider what physical information can be extracted without any model-dependent assumptions.},

  doi          = {10.1103/PhysRevC.95.025205},

  journal      = {Physical Review C},

  number       = 2,

  volume       = 95,

  place        = {United States},

  year         = {Thu Feb 23 00:00:00 EST 2017},

  month        = {Thu Feb 23 00:00:00 EST 2017}

}

Copy to clipboard

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Works referenced in this record:

Experimental study of the $γ p \to η p$ reaction with the Crystal Ball detector at the Mainz Microtron (MAMI-C)
journal, September 2010

McNicoll, E. F.; Prakhov, S.; Strakovsky, I. I.
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Measurement of $π^{0}$ photoproduction on the proton at MAMI C
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Adlarson, P.; Afzal, F.; Akondi, C. S.
Physical Review C, Vol. 92, Issue 2
DOI: 10.1103/PhysRevC.92.024617

Spectral representation for $u$ - and $t$ -channel exchange processes in a partial-wave decomposition
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Lutz, M. F. M.; Kolomeitsev, E. E.; Korpa, C. L.
Physical Review D, Vol. 92, Issue 1
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On the general theory of collisions for particles with spin
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Jacob, M.; Wick, G. C.
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Review of Particle Physics
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Olive, K. A.
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Quantum interference of particles and resonances
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Azimov, Ya
Journal of Physics G: Nuclear and Particle Physics, Vol. 37, Issue 2
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Beam asymmetry $Σ$ for $π^{+}$ and $π^{0}$ photoproduction on the proton for photon energies from 1.102 to 1.862 GeV
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Physical Review C, Vol. 88, Issue 6
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Stoica, S.; Lutz, M. F. M.; Scholten, O.
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Jacob, M.; Wick, G. C.
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Review of Particle Physics
text, January 2018

Tanabashi, M.; Hagiwara, K.; Hikasa, K.
Deutsches Elektronen-Synchrotron, DESY, Hamburg
DOI: 10.3204/pubdb-2018-03100

Review of Particle Physics
text, January 2012

Beringer, J.; Arguin, J.; Barnett, R.
Deutsches Elektronen-Synchrotron, DESY, Hamburg
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Quantum interference of particles and resonances
text, January 2009

Azimov, Ya.
arXiv
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On kinematical constraints in fermion-antifermion systems
text, January 2011

Stoica, S.; Lutz, M. F. M.; Scholten, O.
arXiv
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Measurement of pi^0 photoproduction on the proton at MAMI C
text, January 2015

Adlarson, P.; Afzal, F.; Akondi, C. S.
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Works referencing / citing this record:

Covariance Matrix for Helicity Couplings
journal, April 2018

Sadasivan, D.; Döring, M.
Few-Body Systems, Vol. 59, Issue 4
DOI: 10.1007/s00601-018-1370-2

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Similar Records

Title: Legendre analysis of differential distributions in hadronic reactions

Abstract

Citation Formats

Experimental study of the γ p → η p reaction with the Crystal Ball detector at the Mainz Microtron (MAMI-C) journal, September 2010

Phenomenological Analysis of Single-Pion Photoproduction journal, June 1969

Measurement of π 0 photoproduction on the proton at MAMI C journal, August 2015

Spectral representation for u - and t -channel exchange processes in a partial-wave decomposition journal, July 2015

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

Review of Particle Physics journal, October 2016

Quantum interference of particles and resonances journal, January 2010

Beam asymmetry Σ for π + and π 0 photoproduction on the proton for photon energies from 1.102 to 1.862 GeV journal, December 2013

Kinematical constraints in fermion-antifermion systems journal, December 2011

Relativistic Dispersion Relation Approach to Photomeson Production journal, June 1957

On the General Theory of Collisions for Particles with Spin journal, April 2000

Review of Particle Physics text, January 2008

Review of Particle Physics text, January 2018

Review of Particle Physics text, January 2012

Quantum interference of particles and resonances text, January 2009

On kinematical constraints in fermion-antifermion systems text, January 2011

Measurement of pi^0 photoproduction on the proton at MAMI C text, January 2015

Covariance Matrix for Helicity Couplings journal, April 2018

Experimental study of the $γ p \to η p$ reaction with the Crystal Ball detector at the Mainz Microtron (MAMI-C)
journal, September 2010

Phenomenological Analysis of Single-Pion Photoproduction
journal, June 1969

Measurement of $π^{0}$ photoproduction on the proton at MAMI C
journal, August 2015

Spectral representation for $u$ - and $t$ -channel exchange processes in a partial-wave decomposition
journal, July 2015

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

Review of Particle Physics
journal, October 2016

Quantum interference of particles and resonances
journal, January 2010

Beam asymmetry $Σ$ for $π^{+}$ and $π^{0}$ photoproduction on the proton for photon energies from 1.102 to 1.862 GeV
journal, December 2013

Kinematical constraints in fermion-antifermion systems
journal, December 2011

Relativistic Dispersion Relation Approach to Photomeson Production
journal, June 1957

On the General Theory of Collisions for Particles with Spin
journal, April 2000

Review of Particle Physics
text, January 2008

Review of Particle Physics
text, January 2018

Review of Particle Physics
text, January 2012

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text, January 2009

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text, January 2011

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text, January 2015

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journal, April 2018