Pattern of Light Scalar Mesons

Abstract

Combining the recent lattice calculation of $a_0(1450)$ and $\sigma (600)$ mesons with the overlap fermion in the chiral regime with the pion mass less than $300\mathrm{MeV}$, the quenched lattice calculation of the scalar glueball, and the phenomenological study of the mixing of isoscalar scalar mesons $f_0(1710)$, $f_0(1500)$, $f_0(1370)$ through their decays, a simple pattern for the light scalar mesons begins to emerge. Below 1 GeV, the scalar mesons form a nonet of tetraquark mesoniums. Above 1 GeV, the nonent $q\bar{q}$ mesons are made of an octet with largely unbroken SU(3) symmetry and a fairly good singlet which is $f_0(1370)$. $f_0(1710)$ is identified as an almost pure scalar glueball with a $\sim 10$ mixture of $q\bar{q}$.

8 pages, 4 figures

Cited by in corpus (8)

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• Strange and non-strange quark mass dependence of elastic light resonances from SU(3) Unitarized Chiral Perturbation Theory to one loop
• Lattice study of light scalar tetraquarks with I=0,2,1/2,3/2: are sigma and kappa tetraquarks?
• Revisiting Scalar Glueballs
• Two-gluon and trigluon glueballs from dynamical holography QCD
• Gauged linear sigma model and pion-pion scattering
• PDF in PDFs from Hadronic Tensor and LaMET
• Bubble contributions to scalar correlators with mixed actions