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Title: Legendre analysis of differential distributions in hadronic reactions

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:
 [1] ;  [2] ;  [2] ;  [2]
  1. NRC Kurchatov Inst., Gatchina (Russian Federation). Petersburg Nuclear Physics Inst.
  2. George Washington Univ., Washington, DC (United States)
Publication Date:
Grant/Contract Number:
SC0016583; SC0014133; SC0016582; 14-22-00281
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)
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) (SC-26); Russian Science Foundation
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; photonuclear reactions; resonance reactions
OSTI Identifier:
1439721
Alternate Identifier(s):
OSTI ID: 1344818

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., Web. doi:10.1103/PhysRevC.95.025205.
Azimov, Yakov I., Strakovsky, Igor I., Briscoe, William J., & Workman, Ron L.. Legendre analysis of differential distributions in hadronic reactions. United States. doi:10.1103/PhysRevC.95.025205.
Azimov, Yakov I., Strakovsky, Igor I., Briscoe, William J., and Workman, Ron L.. 2017. "Legendre analysis of differential distributions in hadronic reactions". United States. doi:10.1103/PhysRevC.95.025205. https://www.osti.gov/servlets/purl/1439721.
@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 = {2017},
month = {2}
}