# The Scalar and Tensor Glueball in Production and Decay

### Submission summary

 As Contributors: Eberhard Klempt Preprint link: scipost_202203_00004v1 Date accepted: 2022-04-06 Date submitted: 2022-03-04 10:57 Submitted by: Klempt, Eberhard Submitted to: SciPost Physics Proceedings Proceedings issue: XXXIII International Workshop on High Energy Physics (Hard Problems of Hadron Physics: Non-Perturbative QCD & Related Quests) Academic field: Physics Specialties: High-Energy Physics - Phenomenology Approach: Phenomenological

### Abstract

Evidence for the scalar and the tensor glueball is reported. The evidence stems from an analysis of BESIII data on radiative $J/\psi$ data into $\pi^0\pi^0$, $K_SK_S$, $\eta\eta$, and $\phi\omega$~\cite{Sarantsev:2021ein}. The coupled-channel analysis is contrained by a large number of further data. The scalar intensity is described by ten scalar isoscalar mesons, covering the range from $f_0(500)$ to $f_0(2330)$. Five resonances are interpreted as mainly-singlet states in SU(3), five as mainly-octet states. The mainly-singlet resonances are produced over the full mass range, the production of octet states is limited to the 1500 to 2100\,MeV mass range and shows a large peak. The peak is interpreted as scalar glueball. Its mass, width and yield are determined to $\rm M_{glueball}=(1865\pm 25)$\,MeV, $\Gamma_{\rm glueball} =\rm (370\pm 50^{+30}_{-20})\,MeV$, $\rm Y_{J/\psi\to \gamma G_0}=(5.8\pm1.0)\cdot 10^{-3}$. The study of the decays of the scalar mesons identifies significant glueball fractions~\cite{mixing}. The tensor wave shows the $f_2(1270)$ and $f_2'(1525)$ and a small enhancement at $M=2210\pm40$\,MeV, $\Gamma=\rm (355^{+60}_{-30})\,MeV$~\cite{tensor}. An interpretation of these data is suggested.

Published as SciPost Phys. Proc. 6, 001 (2022)

### Submission & Refereeing History

#### Published as SciPost Phys. Proc. 6, 001 (2022)

Submission scipost_202203_00004v1 on 4 March 2022

## Reports on this Submission

### Anonymous Report 1 on 2022-3-30 (Invited Report)

• Cite as: Anonymous, Report on arXiv:scipost_202203_00004v1, delivered 2022-03-30, doi: 10.21468/SciPost.Report.4820

### Report

This contribution represents the results of the coupled-channel analysis of BESIII data on radiative $J/\psi$ decays to isosinglet meson states. Major attention is focused on the searches of glueball states over the mass range $400<M<2400$~MeV and some evidence for the scalar $G_0(1865)$ and tensor $G_2(2210)$ glueballs is found.

10 flavor-neutral resonances were used to fit the data and many possible interpretations of features of the mass spectrum of decay products are considered; the glueball was considered as distributed among several states. The conclusion on the existence of the gluball state was made on the basis of sophisicated analysis with due regard for interference between various channels, limitations from the analysis of varous processes (say, charge-exchange reactions like \$\pi^-p \to \pi^o\pi^o n etc).

Presentation of the results is well organized and illustrated.

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