Khuri–Treiman equations for $$\pi \pi $$ scattering

Albaladejo, M.; Sherrill, N.; Fernández-Ramírez, C.; Jackura, A.; Mathieu, V.; Mikhasenko, M.; Nys, J.; Pilloni, A.; Szczepaniak, A. P.

doi:10.1140/epjc/s10052-018-6045-0

Title: Khuri–Treiman equations for $$$$\pi \pi $$$$ scattering

Journal Article · Fri Jul 13 00:00:00 EDT 2018 · European Physical Journal. C, Particles and Fields

DOI:https://doi.org/10.1140/epjc/s10052-018-6045-0· OSTI ID:1460137

; Sherrill, N.; Fernández-Ramírez, C.; Jackura, A.; Mathieu, V.; Mikhasenko, M.; Nys, J.; Pilloni, A.; Szczepaniak, A. P.

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.

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Research Organization:: 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 Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); 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)

Grant/Contract Number:: AC05-06OR23177; FG02-87ER40365; PHY-1205019; PHY-1415459; IA101717; 251817; FPA2016-77313-P; FIS2014-51948-C2-1-P; SEV-2014-0398

OSTI ID:: 1460137

Alternate ID(s):: OSTI ID: 1509988

Journal Information:: European Physical Journal. C, Particles and Fields, Journal Name: European Physical Journal. C, Particles and Fields Vol. 78 Journal Issue: 7; ISSN 1434-6044

Publisher:: Springer Science + Business MediaCopyright Statement

Country of Publication:: Germany

Language:: English

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Cited by: 10 works

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