The 27-plet baryons with spin 3/2 under SU(3) symmetry

Abstract.We investigate the spin-3/2 baryons in the 27-plet based on flavor SU(3) symmetry. For Jp = 3/2+, we find all the candidates for non-exotic members. For Jp = 3/2-, we predict a new non-exotic member Λ(1780). Fitting the mass spectrum and calculating the widths of the members show an approximate symmetry of the 27-plet of SU(3). We find that the exotic members have relatively large widths and the Ξ(1950) has spin and parity Jp = 3/2-. The possibility of assigning the non-exotic candidates to an octet is also analyzed.