Absence (or suppression) of strangeness-changing, neutral-current effects from the symmetric quark model

Abstract

We show that the symmetric quark model, with Bose quarks or as a three-triplet model with perfect SU(3)\ensuremath{''}-color symmetry supplemented by current algebra and pion partial conservation of the axial-vector current, provides an alternative to (or suppression beyond) introduction of a ${\mathcal{P}}^{\ensuremath{'}}$ "charmed" quark for banishing $|\ensuremath{\Delta}S|=2$, $\ensuremath{\Delta}Q=0$ nonleptonic effects nonleptonic effects to order $\mathrm{Gs}$. This mechanism is distinguished by the presence of such effects at high energies to order ${(\mathrm{Gs})}^{2}$ and/or $(\mathrm{Gs})(\mathrm{Gt})$ in the amplitude. Previous estimates using the free three-quartet model for rare decay modes of the $K$ mesons in the Weinberg-Salam model of weak and electromagnetic interactions are consistent with additional suppression from the quark statistics of the $|\ensuremath{\Delta}S|=2$, $\ensuremath{\Delta}Q=0$ nonleptonic matrix elements to the level of the $|\ensuremath{\Delta}I|=\frac{3}{2}$ weak amplitude in ${K}^{+}\ensuremath{\rightarrow}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{0}$ if the soft-pion contribution to this amplitude is dominant.