Spin-3/2 baryons from an anisotropic lattice QCD action

TL;DR

This paper calculates the mass spectrum of spin-3/2 baryons, including strange quarks, using quenched lattice QCD with an anisotropic action, and explores the effects of parity and spin projections.

Contribution

It introduces a detailed lattice QCD approach for isolating spin-3/2 baryons and examines the importance of spin projection and optimal interpolating fields.

Findings

Mass spectra are obtained for isospin 1/2 and 3/2 baryons.

Parity and spin projections effectively isolate different states.

Results are consistent with previous calculations and experimental data.

Abstract

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.