$0^{++}$-Glueball/$q \bar q$-State Mixing in the Mass Region near 1500 MeV

Details $0^{++}$-Glueball/$q \bar q$-State Mixing in the Mass Region near 1500 MeV $0^{++}$-Glueball/$q \bar q$-State Mixing in the Mass Region near 1500 MeV

1996-11-14

arxiv.org/abs/hep-ph/9611333v1

Phys.Lett.B395:123-127,1997

Physics

High Energy Physics

High Energy Physics - Phenomenology

LaTex, 12 pages, 2 figures

Scientific paper

10.1016/S0370-2693(97)00006-3

Basing on the results of the K-matrix fit of $(IJ^{PC}=00^{++})$ wave, we analyze the analytic structure of the amplitude and $q \bar q$/glueball content of resonances in the mass region 1200-1900 MeV, where an extra state for $q \bar q$-systematics exists being a good candidate for the lightest scalar glueball. Our analysis shows that the pure glueball state dispersed over three resonances: $f_0(1300)$, $f_0(1500)$ and $f_0(1530^{+90}_{-250})$, while the glueball admixture in $f_0(1750)$ is small. The broad resonance $f_0(1530^{+90}_{-250})$ is the descendant of the lightest pure glueball. The mass of pure glueball is $1630\pm {70\atop 30}$ MeV, in agreement with Lattice calculation results.

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