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Title: Khuri–Treiman equations for ππ scattering

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 ππ 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.

Authors:
ORCiD logo [1];  [2];  [3];  [2];  [4];  [5];  [6];  [4];  [7]
  1. Univ. of Murcia (Spain). Physics Dept.
  2. Indiana Univ., Bloomington, IN (United States). Center for Exploration of Energy and Matter. Physics Dept.
  3. National Autonomous Univ. of Mexico, Mexico City (Mexico). Inst. of Nuclear Sciences
  4. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States). Theory Center
  5. Univ. of Bonn (Germany). Helmholtz Inst. for Radiation and Nuclear Physics
  6. Indiana Univ., Bloomington, IN (United States). Center for Exploration of Energy and Matter. Physics Dept.; Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States). Theory Center; Ghent Univ. (Belgium). Dept. of Physics and Astronomy
  7. Indiana Univ., Bloomington, IN (United States). Center for Exploration of Energy and Matter. Physics Dept.; Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States). Theory Center
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Indiana Univ., Bloomington, IN (United States); Univ. of Bonn (Germany); National Autonomous Univ. of Mexico, Mexico City (Mexico); Ghent Univ. (Belgium); Univ. of Murcia (Spain)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26); National Science Foundation (NSF); German Federal Ministry of Education and Research (BMBF); National Autonomous Univ. of Mexico (UNAM) (Mexico); National Council of Science and Technology (CONACYT) (Mexico); Research Foundation – Flanders (FWO) (Belgium); Ministry of Economy and Business (MINECO) (Spain)
OSTI Identifier:
1460137
Alternate Identifier(s):
OSTI ID: 1509988
Grant/Contract Number:  
FG02-87ER40365; AC05-06OR23177; PHY-1415459; PHY-1205019; IA101717; 251817; FPA2016-77313-P; FIS2014-51948-C2-1-P; SEV-2014-0398
Resource Type:
Published Article
Journal Name:
European Physical Journal. C, Particles and Fields
Additional Journal Information:
Journal Volume: 78; Journal Issue: 7; Journal ID: ISSN 1434-6044
Publisher:
Springer
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Albaladejo, M., Sherrill, N., Fernández-Ramírez, C., Jackura, A., Mathieu, V., Mikhasenko, M., Nys, J., Pilloni, A., and Szczepaniak, A. P. Khuri–Treiman equations for ππ scattering. United States: N. p., 2018. Web. doi:10.1140/epjc/s10052-018-6045-0.
Albaladejo, M., Sherrill, N., Fernández-Ramírez, C., Jackura, A., Mathieu, V., Mikhasenko, M., Nys, J., Pilloni, A., & Szczepaniak, A. P. Khuri–Treiman equations for ππ scattering. United States. doi:10.1140/epjc/s10052-018-6045-0.
Albaladejo, M., Sherrill, N., Fernández-Ramírez, C., Jackura, A., Mathieu, V., Mikhasenko, M., Nys, J., Pilloni, A., and Szczepaniak, A. P. Fri . "Khuri–Treiman equations for ππ scattering". United States. doi:10.1140/epjc/s10052-018-6045-0.
@article{osti_1460137,
title = {Khuri–Treiman equations for ππ scattering},
author = {Albaladejo, M. and Sherrill, N. and Fernández-Ramírez, C. and Jackura, A. and Mathieu, V. and Mikhasenko, M. and Nys, J. and Pilloni, A. and Szczepaniak, A. P.},
abstractNote = {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 ππ 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.},
doi = {10.1140/epjc/s10052-018-6045-0},
journal = {European Physical Journal. C, Particles and Fields},
number = 7,
volume = 78,
place = {United States},
year = {2018},
month = {7}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1140/epjc/s10052-018-6045-0

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