Chiral field theory of $0^{-+}$ glueball

Abstract

A chiral field theory of $0^{-+}$ glueball is presented. By adding a $0^{-+}$ glueball field to a successful Lagrangian of chiral field theory of pseudoscalar, vector, and axial-vector mesons, the Lagrangian of this theory is constructed. The couplings between the pseodoscalar glueball field and mesons are via U(1) anomaly revealed. Qualitative study of the physical processes of the $0^{-+}$ glueball of $m=1.405\text{GeV}$ is presented. The theoretical predictions can be used to identify the $0^{-+}$ glueball.

29 pages

References in corpus (7)

• Measurement of the pseudoscalar mixing angle and ${\eta }^{\prime }$ gluonium content with KLOE detector
• Pseudoscalar glueball mass from $\eta$-${\eta }^{\prime }$-$G$ mixing
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Cited by in corpus (12)

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• Two-gluon and trigluon glueballs from dynamical holography QCD
• ${\eta }_c$ mixing effects on charmonium and $B$ meson decays
• Spectra of glueballs and oddballs and the equation of state from holographic QCD
• Revisiting the pseudoscalar meson and glueball mixing and key issues in the search for pseudscalar glueball state
• The Glueball content of ${\eta }_c$
• $\eta$-glueball mixing from $N_f=2$ lattice QCD
• Phenomenology of a pseudoscalar glueball and charmed mesons
• Possible candidate of 0^+ s\bar{s}s\bar{s} state
• Chiral expansion of the ${\pi }^0\to \gamma \gamma$ decay width