Advanced search
1 file | 880.19 KB Add to list
Author
Organization
Abstract
The Khuri-Treiman formalism models the partial-wave expansion of a scattering amplitude as a sum of three individual truncated series, capturing the low-energy dynamics of the direct and cross channels. We cast this formalism into dispersive equations to study pi pi scattering, and compare their expressions and numerical output to the Roy and GKPY equations. We prove that the Khuri-Treiman equations and Roy equations coincide when both are truncated to include only S-and P-waves. When higher partial waves are included, we find an excellent agreement between the Khuri-Treiman and the GKPY results. This lends credence to the notion that the Khuri-Treiman formalism is a reliable low-energy tool for studying hadronic reaction amplitudes.
Keywords
AXIOMATIC ANALYTICITY DOMAIN, FINAL-STATE INTERACTION, PERTURBATION-THEORY, 3-BODY DECAY, AMPLITUDES, UNITARITY, EXTENSION, REGION

Downloads

  • Albaladejo2018 Article KhuriTreimanEquationsForPiPiΠπ.pdf
    • full text
    • |
    • open access
    • |
    • PDF
    • |
    • 880.19 KB

Citation

Please use this url to cite or link to this publication:

MLA
Albaladejo, M., et al. “Khuri-Treiman Equations for π π Scattering.” EUROPEAN PHYSICAL JOURNAL C, vol. 78, no. 7, 2018.
APA
Albaladejo, M., Sherrill, N., Fernández-Ramírez, C., Jackura, A., Mathieu, V., Mikhasenko, M., … Szczepaniak, A. (2018). Khuri-Treiman equations for π π scattering. EUROPEAN PHYSICAL JOURNAL C, 78(7).
Chicago author-date
Albaladejo, M, N Sherrill, C Fernández-Ramírez, A Jackura, V Mathieu, M Mikhasenko, Jannes Nys, A Pilloni, and AP Szczepaniak. 2018. “Khuri-Treiman Equations for π π Scattering.” EUROPEAN PHYSICAL JOURNAL C 78 (7).
Chicago author-date (all authors)
Albaladejo, M, N Sherrill, C Fernández-Ramírez, A Jackura, V Mathieu, M Mikhasenko, Jannes Nys, A Pilloni, and AP Szczepaniak. 2018. “Khuri-Treiman Equations for π π Scattering.” EUROPEAN PHYSICAL JOURNAL C 78 (7).
Vancouver
1.
Albaladejo M, Sherrill N, Fernández-Ramírez C, Jackura A, Mathieu V, Mikhasenko M, et al. Khuri-Treiman equations for π π scattering. EUROPEAN PHYSICAL JOURNAL C. 2018;78(7).
IEEE
[1]
M. Albaladejo et al., “Khuri-Treiman equations for π π scattering,” EUROPEAN PHYSICAL JOURNAL C, vol. 78, no. 7, 2018.
@article{8649848,
  abstract     = {{The Khuri-Treiman formalism models the partial-wave expansion of a scattering amplitude as a sum of three individual truncated series, capturing the low-energy dynamics of the direct and cross channels. We cast this formalism into dispersive equations to study pi pi scattering, and compare their expressions and numerical output to the Roy and GKPY equations. We prove that the Khuri-Treiman equations and Roy equations coincide when both are truncated to include only S-and P-waves. When higher partial waves are included, we find an excellent agreement between the Khuri-Treiman and the GKPY results. This lends credence to the notion that the Khuri-Treiman formalism is a reliable low-energy tool for studying hadronic reaction amplitudes.}},
  articleno    = {{574}},
  author       = {{Albaladejo, M and Sherrill, N and Fernández-Ramírez, C and Jackura, A and Mathieu, V and Mikhasenko, M and Nys, Jannes and Pilloni, A and Szczepaniak, AP}},
  issn         = {{1434-6044}},
  journal      = {{EUROPEAN PHYSICAL JOURNAL C}},
  keywords     = {{AXIOMATIC ANALYTICITY DOMAIN,FINAL-STATE INTERACTION,PERTURBATION-THEORY,3-BODY DECAY,AMPLITUDES,UNITARITY,EXTENSION,REGION}},
  language     = {{eng}},
  number       = {{7}},
  pages        = {{14}},
  title        = {{Khuri-Treiman equations for π π scattering}},
  url          = {{http://dx.doi.org/10.1140/epjc/s10052-018-6045-0}},
  volume       = {{78}},
  year         = {{2018}},
}

Altmetric
View in Altmetric
Web of Science
Times cited: