Hadronic decays of the (pseudo-)scalar charmonium states ${\eta }_c$ and ${\chi }_{c0}$ in the extended Linear Sigma Model

Abstract

We study the phenomenology of the ground-state (pseudo-)scalar charmonia ${\eta }_c$ and ${\chi }_{c0}$ in the framework of a $U(4{)}_r\times U(4{)}_l$ symmetric linear sigma model with (pseudo-)scalar and (axial-) vector mesons. Based on previous results for the spectrum of charmonia and the spectrum and (OZI-dominant) strong decays of open charmed mesons, we extend the study of this model to OZI-suppressed charmonia decays. This includes decays into 'ordinary' mesons but also particularly interesting channels with scalar-isoscalar resonances $f_0(1370),f_0(1500),f_0(1710)$ that may include sizeable contributions from a scalar glueball. We study the variation of the corresponding decay widths assuming different mixings between glueball and quark-antiquark states. We also compute the decay width of the pseudoscalar ${\eta }_c$ into a pseudoscalar glueball. In general, our results for decay widths are in reasonable agreement with experimental data where available. Order of magnitude predictions for as yet unmeasured states and channels are potentially interesting for BESIII, Belle II, LHCb as well as the future PANDA experiment at the FAIR facility.

20 pages, 3 figures, 6 tabes

References in corpus (10)

• Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts
• Towards the glueball spectrum from unquenched lattice QCD
• Is f0(1710) a glueball?
• Scalar Glueball, Scalar Quarkonia, and their Mixing
• Decay of the pseudoscalar glueball into scalar and pseudoscalar mesons
• eta(1405) in a chiral approach based on mixing of the pseudoscalar glueball with the first radial excitations of eta and eta'
• χ_{c0,2} decay into light meson pairs and its implication of the scalar meson structures
• Decay modes of the excited pseudoscalar glueball
• Decays of open charmed mesons in the extended Linear Sigma Model
• f_{2}(1270),a_{1}(1260)$and$f_{0}(1370)$ as dynamically reconstructed quark-antiquark states

Cited by in corpus (5)

• The Glueball content of ${\eta }_c$
• Ordinary and exotic mesons in the extended Linear Sigma Model
• A Lattice Study of the Two-photon Decay Widths for Scalar and Pseudo-scalar Charmonium
• Decay of the pseudoscalar glueball and its first excited state into scalar and pseudoscalar mesons and their first excited states
• Search for the $X(2370)$ and observation of ${\eta }_c\to \eta \eta {\eta }^{\prime }$ in $J/\psi \to \gamma \eta \eta {\eta }^{\prime }$