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 (1)

• Quark mass dependence of the rho and sigma from dispersion relations and Chiral Perturbation Theory