Strong BBP couplings for the charmed baryons

Abstract

According to the Coleman-Glashow null theorem if all the symmetry breaking effects belong to the same regular representation (octet in the case of SU(3) and {\bf 15} in the case of SU(4)) and are generated in a tadpole type mechanism, the strangeness changing (charm changing) weak transitions generated through the S$_{6}$ (S$_{9}$) tadpole must vanish. Exploiting this null result, we find relations between the BBP coupling constants which allow us to write the coupling constants in terms of two parameters and baryon masses. Fixing these two parameters ( $g_{NN\pi}$ and $g_{\Lambda \Sigma \pi}$) from experiments, we estimate the remaining coupling constants.