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Pattern of Light Scalar Mesons · Around

2007

Pattern of Light Scalar Mesons

Liu, Keh-Fei

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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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N. Mathur, A. Alexandru, Y. Chen, S.J. Dong, T. Draper, Horváth, F.X. Lee, K.F. Liu, S. Tamhankar, and J.B. Zhang, [hep-ph/0607110]

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