Abstract

A coupled-channel analysis has been performed to identify the spectrum of scalar mesons. The data include BESIII data on radiative J/ψ decays into π0π0, KS KS, ηη, and ωϕ, 15 Dalitz plots from ¯N annihilation at rest at LEAR, the CERN-Munich multipoles for ππ elastic scattering, the S-wave from BNL data on ππ scattering into KS KS, from GAMS data on ππ π0π0; ηη, and ηη', and NA48/2 data on low-mass ππ interactions from K± → ππe±v decays. The analysis reveals the existence of ten scalar isoscalar resonances. The resonances can be grouped into two classes: resonances with a large SU(3) singlet component and those with a large octet component. The production of isoscalar resonances with a large octet component should be suppressed in radiative J/ψ decays. However, in a limited mass range centered at 1900MeV, these mesons are produced abundantly. Mainly-singlet scalar resonances are produced over the full mass range but with larger intensity at 1900MeV. The total scalar isoscalar yield in radiative decays into scalar mesons shows a clear peak which is interpreted as the scalar glueball of lowest mass.

Highlights

  • The analysis reveals the existence of ten scalar isoscalar resonances

  • Mostly-singlet isoscalar mesons are produced in the full mass range but the yield is enhanced at about 1900 MeV

  • The data can be fit with ten scalar isoscalar resonances

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Summary

Introduction

Bound states of gluons with any constituent quarks, are a firm prediction of QCD. Lattice gauge theories predict the lowest-mass glueball to have scalar quantum numbers and to have a mass of 1710±50±80 MeV [1]. Tensor and pseudoscalar glueballs are expected well above 2000 MeV. Analytic approximations to QCD find the scalar glueball in the range from 1850 to 1980 MeV [2–4]. Several observed scalar mesons have been proposed to contain a large glueball fraction but no firm conclusions have been reached so far [5–11]. A partial-wave analysis of data carrying information on scalar mesons was reported [12]. I present these results and give my personal interpretation

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