Scalar glueballs: Constraints from the decays into $\eta$ or ${\eta }^{\prime }$

Abstract

We study the mixing of the scalar glueball into the isosinglet mesons $f_0(1370)$, $f_0(1500)$, and $f_0(1710)$ to describe the two-body decays to pseudoscalars. We use an effective Hamiltonian and employ the two-angle mixing scheme for $\eta$ and ${\eta }^{\prime }$. In this framework, we analyse existing data and look forward to new data into $\eta$ and ${\eta }^{\prime }$ channels. For now, the $f_0(1710)$ has the largest glueball component and a sizable branching ratio into $\eta {\eta }^{\prime }$, testable at BESIII.

7 pages, 1 figure. Included error bars from fit and added references. Matches PRD version

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• Study of the $f_2(1270)$, $f_2^{\prime }(1525)$, ${\bar{K}}_2^{\ast }(1430)$, $f_0(1370)$ and $f_0(1710)$ production from $\psi (nS)$ and ${\rm Y}(nS)$ decays
• Probing the substructure of $f_0(1370)$

Cited by in corpus (14)

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• Partial wave analysis of $J/\psi \to \gamma \eta {\eta }^{\prime }$
• Glueball scattering cross section in lattice SU(2) Yang-Mills theory
• Study the molecular nature of $\sigma$, $f_0(980)$, and $a_0(980)$ states
• Singlet-octet-glueball mixing of scalar mesons
• A broad pseudovector glueball from holographic QCD
• Holographic QCD predictions for production and decay of pseudoscalar glueballs
• Search for the tensor glueball
• Radiative Meson and Glueball Decays in the Witten-Sakai-Sugimoto Model
• Glueball-meson molecules
• Hadronic decays of the (pseudo-)scalar charmonium states ${\eta }_c$ and ${\chi }_{c0}$ in the extended Linear Sigma Model
• Spin-1 Glueballs in the Witten-Sakai-Sugimoto Model
• Scalar and tensor glueball decay rates from the Witten-Sakai-Sugimoto model
• Glueball decay patterns in top-down holographic QCD