SU(3) breaking in decays of exotic baryons

Abstract

Within the chiral soliton model the SU(3) breaking collective hamiltonian introduces representation mixing in the baryonic wave functions. We calculate $\mathcal{O}(m_s)$ effects of this mixing on the decay widths of decuplet and antidecuplet baryons. We find importance of the 27-plet admixture in the ${\Theta }^{+}$ and ${\Xi }_{\overline{10}}$ decays. The role of the $1/N_c$ nonleading terms in $\mathcal{O}(m_s)$ transition matrix elements is discussed.

17 pages, 6 figures, v3 to appear in Acta Physica Polonica B, some numerics corrected, conclusions unchanged