We recalculate masses and widths of antidecuplet baryons in the case of positive parity from chiral soliton models, provided that the member ${\Xi }_{3/2}$ of the antidecuplet has a mass 1.86 GeV, as reported recently. Calculations show that there are no convincing candidates for the nonexotic members of the antidecuplet available in the baryon listings. Up to the leading order of $m_s$ and $1/N_c$, the width formula for the decay of the antidecuplet baryons to the octet depends only on $\mathrm{S}\mathrm{U}(3)$ symmetry model independently, except the coupling constant. Similarly, we give a width formula for the decay of negative parity baryons belonging to certain $\mathrm{S}\mathrm{U}(3)$ baryon multiplets by pure symmetry consideration. By this formula, we find that if we have an antidecuplet with negative parity and that the masses are the same as those given by chiral soltion models, the identification of $N(1650)$ as $N_{\overline{10}}$ are inconsistent with experiments for $N(1650)\to N\pi$ while the widths agree with other two decay channels involving strangeness. And $\Sigma (1750)$ seems to be a reasonable candidate for ${\Sigma }_{\overline{10}}$.

• Received 19 November 2003

DOI:https://doi.org/10.1103/PhysRevD.70.097503