Abstract.
We discuss the theoretical expectations and phenomenological evidence for the lightest glueballs and the members of the meson nonet with quantum numbers \(J^{PC}=0^{++}\). We reconsider the recent evidence for candidate states with masses below \(\sim\)1700 MeV, but include also the results from earlier phase-shift analyses. Arguments are presented to classify the scalars \(f_0(980)\) and \(f_0(1500)\) as members of the \(0^{++}\) nonet, with a mixing rather similar to that of the pseudoscalars \(\eta'\) and \(\eta\). The S-wave states called \(f_0(400-1200)\) and \(f_0(1370)\) are considered as different signals from a single broad resonance, which we take to be the lowest-lying \(0^{++}\) glueball. This state together with \(\eta(1440)\) and \(f_J(1710)\) with spin \(J=2\) form the basic triplet of binary gluonic bound states. We argue that these hypotheses are consistent with what can be expected theoretically.
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Minkowski, P., Ochs, W. Identification of the glueballs and the scalar meson nonet of lowest mass. Eur. Phys. J. C 9, 283–312 (1999). https://doi.org/10.1007/s100529900044
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DOI: https://doi.org/10.1007/s100529900044