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Is $f_2(1950)$ the tensor glueball?

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arxiv 2304.05225 v3 pith:MQU4FTV4 submitted 2023-04-11 hep-ph

classification hep-ph
keywords glueballtensordecaymesonschannelsglueballsapproachesbehind
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Glueballs remain an experimentally undiscovered expectation of QCD. Lattice QCD (As well as other theoretical approaches) predicts a spectrum of glueballs, with the tensor ($J^{PC}=2^{++}$) glueball being the second lightest, behind the scalar glueball. Here, using a chiral hadronic model, we compute decay ratios of the tensor glueball into various meson decay channels. We find the tensor glueball to primarily decay into two vector mesons, dominated by $\rho \rho $ and $K^*K^*$ channels. These results are compared to experimental data of decay rates of isoscalar tensor mesons. Based on this comparison, we make statements on the eligibility of these mesons as potential tensor glueball candidates: the resonance $f_2(1950)$ turns out to be, at present, the best match as being predominantly a tensor glueball.

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Cited by 1 Pith paper

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    The dynamical diquark model predicts specific hidden-strangeness tetraquark multiplets near 2-3 GeV, with a distinctive three-state S-wave fingerprint in the ssss sector and several observed resonances as candidate matches.

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