Sector of the $2^{++}$ mesons: observation of the tensor glueball

Abstract

Data of the Crystal Barrel and L3 collaborations clarified essentially the situation in the $2^{++}$ sector in the mass region up to 2400 MeV, demonstrating the linearity of $(n,M^2)$ trajectories, where $n$ is the radial quantum number of a quark-antiquark state with mass $M$. We discuss these data and show that there exists a superfluous state for the $(n,M^2)$ trajectories: a broad resonance $f_2(2000)$. We pay special attention to the reactions $p\bar{p}\to \pi \pi ,\eta \eta ,\eta {\eta }^{\prime }$ in the mass region 1990--2400 MeV where, together with $f_2(2000)$, four relatively narrow resonances are seen: $f_2(1920)$, $f_2(2020)$, $f_2(2240)$, $f_2(2300)$. We analyse the branching ratios of all these resonances and show that only the decay couplings of the broad state $f_2(2000)\to {\pi }^0{\pi }^0,\eta \eta ,\eta {\eta }^{\prime }$ satisfy relations inherent in the glueball decay.

arXiv comment44 pages, 31 Postscript figures

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Cited by in corpus (13)

• Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts
• The Physics of Glueballs
• Glueball Decay Rates in the Witten-Sakai-Sugimoto Model
• Decays of tensor mesons and the tensor glueball in an effective field approach
• Radiative Decays of the Upsilon(1S) to a Pair of Charged Hadrons
• The mass spectrum and strong decays of isoscalar tensor mesons
• Hadron collisions at ultrahigh energies: black disk or resonant disk modes?
• Quark--antiquark states and their radiative transitions in terms of the spectral integral equation. {\Huge I.} Bottomonia
• Quark--antiquark states and their radiative transitions in terms of the spectral integral equation. {\Huge III.} Light mesons
• Central production of lepton-antilepton pairs and heavy quark composite states in hadron diffractive collisions at ultrahigh energies
• $2^{++}$ glueball
• ${\rm Y}(1s)\to \gamma f_2(1270)$ Decay
• Coupled-channel analysis of the process $\gamma \gamma \to {\pi }^0{\pi }^0$