The mass spectrum of baryons in the spin-$3/2$ sector is computed in quenched lattice QCD using a tadpole-improved anisotropic action. Both isospin $1/2$ and $3/2$ (the traditional decuplet) are considered, as well as members that contain strange quarks. States with positive and negative parities are isolated by parity projection, while states with spin-$3/2$ and spin-$1/2$ are separated by spin projection. The extent to which spin projection is needed is examined. The issue of optimal interpolating field is also investigated. The results are discussed in relation to previous calculations and experiment.

• Received 28 April 2006

DOI:https://doi.org/10.1103/PhysRevD.74.034507