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Three-body dispersion-relation N/D equations for the coupled decay channels pp(JPC = 0 - + ) → π 0 π 0 π 0 ,η π 0 π 0 ,η η π 0 , KKπ 0

1996/10/29 by A. V. Anisovich
Physics and Astronomy · #Amplitude #Annihilation #Barrel (horology) #Cold Atom Physics and Bose-Einstein Condensates #Crystal (programming language) #Meson #Nuclear physics research studies #Quantum Chromodynamics and Particle Interactions #Rest (music) #hep-ph

paper · pdf · doi:10.1134/1.1540671

published as Phys.Atom.Nucl. 66 (2003) 172-181; Yad.Fiz. 66 (2003) 175-184 · 16 pages, no figures

arxiv created 1996/10/29 · openalex publication_date 2003/01/01 · arxiv updated 2015/06/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

For several years the data on different % MathType!MTEF!2!1!+-% feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVy0df9qqqrpepC0xbbL8F4rqqrFfpeea0xe9Lqpe0x% c9q8qqaqFn0dXdir-xcvk9pIe9q8qqaq-dir-f0-yqaqVeLsFr0-vr% 0-vr0db8meaabaqaciGacaGaaeqabaWaaeaaeaaakeaatCvAUfKttL% earyqr1ngBPrgaiuGacuWFWbaCgaqeaiab-bhaWjaacIcacqWFkbGs% daahaaWcbeqaaiab-bfaqjab-neadbaakiabg2da9iaaicdadaahaa% WcbeqaaiabgkHiTiabgUcaRaaakiaacMcacqGHsgIRcaaIZaaaaa!4C48! pp(JPC = 0 - + ) → 3 mesons channels presented by the Crystal Barrel collaboration were successfully analyzed by extracting the leading amplitude singularities—pole singularities—with the aim of obtaining information about two-meson resonances. But these analyses do not take three-body final-state interactions into account in an explicitly correct way. This paper is devoted to the consideration of this problem. It is shown how the coupled three-body equations could be written for the π 0 π 0 π 0, ηπ 0 π 0, ηηπ 0 and % MathType!MTEF!2!1!+-% feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVy0df9qqqrpepC0xbbL8F4rqqrFfpeea0xe9Lqpe0x% c9q8qqaqFn0dXdir-xcvk9pIe9q8qqaq-dir-f0-yqaqVeLsFr0-vr% 0-vr0db8meaabaqaciGacaGaaeqabaWaaeaaeaaakeaaceWGlbGbae% bacaWGlbGaeqiWda3aaWbaaSqabeaacaaIWaaaaaaa!3D91! KKπ 0 channels in the % MathType!MTEF!2!1!+-% feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVy0df9qqqrpepC0xbbL8F4rqqrFfpeea0xe9Lqpe0x% c9q8qqaqFn0dXdir-xcvk9pIe9q8qqaq-dir-f0-yqaqVeLsFr0-vr% 0-vr0db8meaabaqaciGacaGaaeqabaWaaeaaeaaakeaatCvAUfKttL% earyqr1ngBPrgaiuGacuWFWbaCgaqeaiab-bhaWbaa!40FF! pp annihilation at rest using the three-body dispersion-relation N/D method.

Citations