Pseudoscalar--meson decuplet--baryon coupling constants in light cone QCD

Taking into account the $SU(3)_f$ breaking effects, the strong coupling constants of the $π$, $K$ and $η$ mesons with decuplet baryons are calculated within light cone QCD sum rules method. It is shown that all coupling constants, even in the case of $SU(3)_f$ breaking, are described in terms of only one universal function. It is shown that for $Ξ^{\ast 0} \to Ξ^{\ast 0} η$ transition violation of $SU(3)_f$ symmetry is very large and for other channels when $SU(3)_f$ symmetry is violated, its maximum value constitutes $10$.

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