Decay of the pseudoscalar glueball and its first excited state into scalar and pseudoscalar mesons and their first excited states

Abstract

We expand the study of the pseudoscalar glueball and its first excited state by constructing an interaction Lagrangian which produces the two- and three-body decays of the pseudoscalar glueball, $J^{PC}=0^{-+}$, into the (pseudo)scalar and the excited (pseudo)scalar mesons as well as by constructing other two different chiral Lagrangians which describe the two- and three-body decays of the first excited pseudoscalar glueball, $J^{PC}=0^{\ast -+}$, into the (pseudo)scalar and the excited (pseudo)scalar mesons. We compute the decay channels for the ground state of a pseudoscalar glueball with a mass of $2.6$ GeV and for the first excited pseudoscalar glueball with a mass $3.7$ GeV, following predictions from Lattice QCD in the quenched approximation. These states and channels are within reach of PANDA experiment at the upcoming FAIR facility experiment and ongoing BESIII experiment. In our approach, the various branching ratios are a parameter-free prediction.

11 pages and 6 tables

References in corpus (17)

• Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts
• The Physics of Glueballs
• The Status of Glueballs
• The Experimental Status of Glueballs
• Is f0(1710) a glueball?
• Decay of the pseudoscalar glueball into scalar and pseudoscalar mesons
• Excited mesons, baryons, glueballs and tetraquarks: Predictions of the Holography Inspired Stringy Hadron model
• Distribution amplitudes of radially-excited pi- and K-mesons
• Excited Scalar and Pseudoscalar Mesons in the Extended Linear Sigma Model
• Exotic glueball $0^{\pm -}$ states in QCD Sum Rules
• Holographic QCD predictions for production and decay of pseudoscalar glueballs
• Decay modes of the excited pseudoscalar glueball
• Comment on "Finding the $0^{--}$ Glueball" [arXiv:1408.3995]
• Hadronic decays of the (pseudo-)scalar charmonium states ${\eta }_c$ and ${\chi }_{c0}$ in the extended Linear Sigma Model
• Radially Excited Axial-Vector Mesons in the extended Nambu--Jona-Lasinio model
• Decays of open charmed mesons in the extended Linear Sigma Model
• Vacuum properties of open charmed mesons in a chiral symmetric model

Cited by in corpus (5)

• $S$- and $P$-wave fully-strange tetraquark states from QCD sum rules
• QCD sum rule studies on the $ss\bar{s}\bar{s}$ tetraquark states of $J^{PC}=0^{-+}$
• Dispersive analysis of excited glueball states
• Non-Abelian axial anomaly, axial-vector duality, and the pseudoscalar glueball
• Nature of $X(2370)$