The pseudoscalar glueball in a chiral Lagrangian model with instanton effect

Details The pseudoscalar glueball in a chiral Lagrangian model with instanton effect The pseudoscalar glueball in a chiral Lagrangian model with instanton effect

2009-03-29

arxiv.org/abs/0903.5032v1

Phys.Rev.D81:014003,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

21 pages, 7 figures, 4 tables

Scientific paper

10.1103/PhysRevD.81.014003

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.

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