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

Abstract

Basing on the results of the K-matrix fit of $(I{J}^{PC}=00^{++})$ 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 $f_0(1530_{-250}^{+90})$, while the glueball admixture in $f_0(1750)$ is small. The broad resonance $f_0(1530_{-250}^{+90})$ is the descendant of the lightest pure glueball. The mass of pure glueball is $1630\pm \genfrac{}{}{0ex}{}{70}{30}$ MeV, in agreement with Lattice calculation results.

arXiv commentLaTex, 12 pages, 2 figures

References in corpus (8)

• A comprehensive lattice study of SU(3) glueballs
• Is $f_0(1500)$ a Scalar Glueball?
• Numerical Evidence for the Observation of a Scalar Glueball
• EVIDENCE FOR A SCALAR GLUEBALL
• Nonet Classification of Scalar/Isoscalar Resonances below 1900 MeV: the Existence of an Extra Scalar State in the Region 1200-1600 MeV
• Resonance $f_0(1500)$: Is it a scalar glueball ?
• K-Matrix Analysis of the (${IJ}^{PC}=00^{++}$) Amplitude in the Mass Region up to 1550 MeV
• The lightest scalar glueball

Cited by in corpus (23)

• An updated review of the new hadron states
• Systematics of q anti-q states in the (n,M^2) and (J,M^2) planes
• Proton-Antiproton Annihilation and Meson Spectroscopy with the Crystal Barrel
• K-matrix analysis of the K-pi S-wave in the mass region 900-2100 Mev and nonet classification of scalar qqbar-states
• Scalar isoscalar mesons and the scalar glueball from radiative $J/\psi$ decays
• Three channel model of meson-meson scattering and scalar meson spectroscopy
• Glueball-quarkonia content and decay of scalar-isoscalar mesons
• Glueball scattering cross section in lattice SU(2) Yang-Mills theory
• A partial wave analysis of the ${\pi }^0{\pi }^0$ system produced in ${\pi }^{-}p$ charge exchange collisions
• Exotic mesons, locking states and their role in the formation of the confinement barrier
• The glueball spectrum
• The lightest scalar glueball
• On the possibility of observation of $a_0$-$f_0$ mixing in the $pn\to d{a}_0$ reaction
• Coupled Channel Analysis of S-Wave Pion-Pion and Kaon-Kaon Photoproduction
• Searching for the quark--diquark systematics of baryons composed by light quarks $q=u,d$
• Partial widths a_0(980)\toγγ, f_0(980)\toγγand q\bar q-classification of the lightest scalar mesons
• $0^{++}$ scalar glueball in finite-width Gaussian sum rules
• The two-pion spectra for the reaction π^- p -> π^0π^0 n at 38 GeV/c pion momentum and combined analysis of the GAMS, Crystal Barrel and BNL data
• Systematization of tensor mesons and the determination of the $2^{++}$ glueball
• SU(3) Mixing for Excited Mesons
• Finite-width Gaussian sum rules for $0^{-+}$ pseudoscalar glueball based on correction from instanton-gluon interference to correlation function
• Observation of Observation of tensor glueball in the reactions p anti-p -> pi-pi, eta-eta, eta-eta'
• Quark-gluonium content of the scalar-isoscalar states f_0(980), f_0(1300), f_0(1500), f_0(1750), f_0(1420 ^{+150}_{- 70}) from hadronic decays