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

TL;DR

This paper calculates the strong coupling constants between pseudoscalar mesons and decuplet baryons using light cone QCD sum rules, accounting for SU(3)_f breaking effects, revealing a universal function and quantifying symmetry violations.

Contribution

It introduces a method to compute meson-baryon coupling constants considering SU(3)_f breaking, showing all are described by a single universal function.

Findings

Coupling constants are described by one universal function.

Large SU(3)_f symmetry violation in certain transitions.

Maximum symmetry violation is 10-15% in other channels.

Abstract

Taking into account the $SU(3)_f$ breaking effects, the strong coupling constants of the $\pi$, $K$ and $\eta$ 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 $\Xi^{\ast 0} \to \Xi^{\ast 0} \eta $ 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 $10%\div15%$.