Pattern of Light Scalar Mesons

Details Pattern of Light Scalar Mesons Pattern of Light Scalar Mesons

2007-06-08

arxiv.org/abs/0706.1262v1

Prog.Theor.Phys.Suppl.168:160-167,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages, 4 figures

Scientific paper

10.1143/PTPS.168.160

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 $300 {\rm MeV}$, 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 $q\bar{q}$.

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