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Final state interactions in three-meson systems: Analysis of data on [ital [bar p]p][r arrow][pi][sup 0][pi][sup 0][pi][sup 0] and [eta][eta][pi][sup 0] at rest

Journal Article · · Physical Review, D (Particles Fields); (United States)
; ; ;  [1]
  1. Queen Mary and Westfield College, London E1 4NS (United Kingdom) St. Petersburg Nuclear Physics Institute, Gatchina, St. Petersburg district, 188350 (Russian Federation)
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We provide a theoretical and computational formalism for the study of three-body annihilation of [ital p[bar p]]. It includes (i) an analysis of three-body equations with the purpose of extracting the leading singularities and (ii) an analysis of low-energy [pi][pi], [ital K[bar K]], [eta][eta], and [pi][eta] amplitudes and the reconstruction of them from available experimental data. Based on this formalism, we perform an analysis of data on [ital p[bar p]][r arrow][pi][sup 0][pi][sup 0][pi][sup 0] and [eta][eta][pi][sup 0] at rest. The data are fitted well by pure [sup 1][ital S][sub 0] annihilation and require two [ital I]=0,[ital J][sup [ital P][ital C]]=0[sup ++] resonances with [ital M][sub 1]=1335[plus minus]40 MeV, [Gamma][sub 1]=255[sub [minus]40][sup +60] MeV, and [ital M][sub 2]=1505[plus minus]20 MeV, [Gamma][sub 2]=150[plus minus]20 MeV. The latter explains features of the data previously interpreted in an alternative way as due to [ital A][sub [ital X]](1515) with [ital J][sup [ital P][ital C]]=2[sup ++]. As a second step, we evaluate the magnitude of the amplitudes due to triangle singularities which result from rescatterings of outgoing mesons. Taking into account these rescattering processes enhances the magnitudes of low-lying resonances, notably [ital f][sub 0](975).
OSTI ID:
7272809
Journal Information:
Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 50:3; ISSN PRVDAQ; ISSN 0556-2821
Country of Publication:
United States
Language:
English

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Related Subjects

662340* -- Hadron Interactions-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANNIHILATION
ANTIKAONS
ANTIMATTER
ANTIPARTICLES
BARYON-BARYON INTERACTIONS
BASIC INTERACTIONS
BOSONS
ELECTROMAGNETIC INTERACTIONS
ELEMENTARY PARTICLES
ETA MESONS
FINAL-STATE INTERACTIONS
HADRON-HADRON INTERACTIONS
HADRONS
INTERACTIONS
KAONS
MANY-BODY PROBLEM
MATTER
MESONS
NUCLEON-ANTINUCLEON INTERACTIONS
PARTICLE INTERACTIONS
PIONS
PIONS NEUTRAL
PROTON-ANTIPROTON INTERACTIONS
PSEUDOSCALAR MESONS
SINGULARITY
STRANGE MESONS
STRANGE PARTICLES
THREE-BODY PROBLEM