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Chiral Suppression of Scalar Glueball Decay

  • Author(s): Chanowitz, Michael S.
  • et al.
Abstract

Because glueballs are $SU(3)_Flavor$ singlets, they are expected tocouple equally to $u,d$, and $s$ quarks, so that equal coupling strengths to $\pi^+\pi^-$ and $K^+K^-$ are predicted. However, we show that chiral symmetry implies the scalar glueball amplitude for $G_0\rightarrow \overline qq$ is proportional to the quark mass, so that mixing with $\sbs$ mesons is enhanced and decays to $K^+K^-$ are favored over $\pi^+\pi^-$. Together with evidence from lattice calculations and from experiment, this supports the hypothesis that $f_0(1710)$ is the ground state scalar glueball.

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