The lightest scalar glueball

Abstract

Recently performed investigations of meson spectra allow us to determine the resonance structure for the waves $I{J}^{PC}=00^{++}$, $10^{++}$, $02^{++}$, $12^{++}$ = $I{J}^P=1/20^{+}$ in the mass region up to 1900 MeV, thus establishing the meson multiplets $1^3{P}_{0}q\bar{q}$ and $2^3{P}_{0}q\bar{q}$. Experimental data demonstrate that there are five scalar/isoscalar states in this mass region. Four of them are $q\bar{q}$ states, that is, members of the $1^3{P}_{0}q\bar{q}$ and $2^3{P}_{0}q\bar{q}$ nonets, while the fifth state is an extra one not accomodated by $q\bar{q}$ systematics; it has the properties of the lightest scalar glueball. Analysis of the $00^{++}$-wave performed within the framework of the dispersion relation technique allows us to reconstruct the mixing of a pure gluonium with neighbouring scalar $q\bar{q}$ states belonging to $1^3{P}_{0}q\bar{q}$ and $2^3{P}_{0}q\bar{q}$ nonets: three scalar mesons share the gluonium state between each other -- those are two comparatively narrow resonances $f_0(1300)$ and $f_0(1500)$ and a broad resonance $f_0(1530_{-250}^{+90})$. The broad state is a descendant of the gluonium, keeping about 40-50% of its component.

48 pages, LaTeX, 25 PostScript figures, epsfig.sty. Submitted to Russian Journal Uspekhi Fiz. Nauk (Phys-Uspekhi)

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• Newly observed $a_0(1817)$ as the scaling point of constructing the scalar meson spectroscopy
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• Why the high lying glueball does not mix with the neighbouring $f_0$
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