Khuri–Treiman equations for $$\pi \pi $$ scattering
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 expres...
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Published in | The European physical journal. C, Particles and fields Vol. 78; no. 7 |
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Main Authors | , , , , , , , , |
Format | Journal Article |
Language | English |
Published |
Germany
Springer Science + Business Media
13.07.2018
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Subjects | |
Online Access | Get full text |
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Summary: | 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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Bibliography: | Research Foundation – Flanders (FWO) (Belgium) National Autonomous Univ. of Mexico (UNAM) (Mexico) AC05-06OR23177; FG02-87ER40365; PHY-1205019; PHY-1415459; IA101717; 251817; FPA2016-77313-P; FIS2014-51948-C2-1-P; SEV-2014-0398 National Council of Science and Technology (CONACYT) (Mexico) Ministry of Economy and Business (MINECO) (Spain) German Federal Ministry of Education and Research (BMBF) National Science Foundation (NSF) USDOE Office of Science (SC), Nuclear Physics (NP) |
ISSN: | 1434-6044 1434-6052 |
DOI: | 10.1140/epjc/s10052-018-6045-0 |