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Scalar Mesons in a Relativistic Quark Model with Instanton-Induced Forces

arXiv:hep-ph/9507449 · doi:10.1016/0370-2693(95)01212-9

Abstract

In a relativistic quark model with linear confinement and an instanton-induced interaction which solves the $η$-$η'$ puzzle, scalar mesons are found as almost pure SU(3) flavor states. This suggests a new interpretation of the scalar nonet: We propose that the recently discovered $f_0(1500)$ is not a glueball but the scalar (mainly)--octet meson for which the $K\bar{K}$ decay mode is suppressed. The mainly--singlet state is tentatively identified with the $f_0(980)$. The isovector and isodoublet states correspond to the $a_0(1450)$ and $K^{\ast}(1430)$, respectively.

10 pages including 2 uuencoded figures, RevTeX