The pseudoscalar glueball in a chiral Lagrangian model with instanton effect

Abstract

We study the pseudoscalar glueball candidates in a chiral effective Lagrangian model proposed by 't hooft, motived by taking into account the instanton effects, which can describe not only the chiral symmetry breaking, but also the solution of $U_A(1)$. We study the parameter space allowed by constraints from vacuum conditions and unitary bounds. By considering two scenarios in $0^{++}$ sector, we find that parameter space which can accommodate the $0^{-+}$ sector is sensitive to the conditions in $0^{++}$ sector. From our analysis, it is found that three $\eta$ states, i.e. $\eta (1295)$, $\eta (1405)$, $\eta (1475)$, can be glueball candidates if we assume that the lightest $0^{++}$ glueball has a mass 1710 MeV. While there is no $0^{-+}$ glueball candidate found in experiments if we assume that the lightest $0^{++}$ glueball has a mass 660 MeV.

21 pages, 7 figures, 4 tables

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Cited by in corpus (14)

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• Two-gluon and trigluon glueballs from dynamical holography QCD
• ${\eta }_c$ mixing effects on charmonium and $B$ meson decays
• Dispersive analysis of glueball masses
• Spectra of glueballs and oddballs and the equation of state from holographic QCD
• Deploying heavier $\eta$ meson states: configurational entropy hybridizing AdS/QCD
• The Glueball content of ${\eta }_c$
• Chiral field theory of $0^{-+}$ glueball
• $\eta$-glueball mixing from $N_f=2$ lattice QCD
• Low-lying Scalars in an extended Linear $\sigma$ Model
• $U(1{)}_A$ axial anomaly, ${\eta }^{\prime }$, and topological susceptibility in the holographic soft-wall model
• Dispersive analysis of excited glueball states
• Finite-width Gaussian sum rules for $0^{-+}$ pseudoscalar glueball based on correction from instanton-gluon interference to correlation function
• Possible candidate of 0^+ s\bar{s}s\bar{s} state