English

The Fragmented Glueball: A Personal View

High Energy Physics - Phenomenology 2022-02-16 v1

Abstract

A coupled-channel analysis has been performed to identify the spectrum of scalar mesons. The data include BESIII data on radiative J/ψJ/\psi decays into π0π0\pi^0\pi^0,KSKSK_SK_S, ηη\eta\eta, and ωϕ\omega\phi, 15 Dalitz plots from pˉN\bar pN annihilation at rest at LEAR, the CERN-Munich multipoles for ππ\pi\pi elastic scattering, the SS-wave from BNL data on ππ\pi\pi scattering into KSKSK_SK_S, from GAMS data on πππ0π0,ηη\pi\pi\to \pi^0\pi^0, \eta\eta, and ηη\eta\eta', and NA48/2 data on low-mass ππ\pi\pi interactions from K±ππe±νK^\pm\to\pi\pi e^\pm\nu 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/ψJ/\psi decays. However, in a limited mass range centered at 1900\,MeV, these mesons are produced abundantly. Mainly-singlet scalar resonances are produced over the full mass range but with larger intensity at 1900\,MeV. 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.

Keywords

Cite

@article{arxiv.2108.12819,
  title  = {The Fragmented Glueball: A Personal View},
  author = {Eberhard Klempt},
  journal= {arXiv preprint arXiv:2108.12819},
  year   = {2022}
}

Comments

Contribution to Quark Confinement and the Hadron Spectrum 2021. 6 pages, 5 figures, 2 tables

R2 v1 2026-06-24T05:30:11.811Z