We present first results for masses of spin-3/2 baryons in lattice QCD, using a novel fat-link clover fermion action in which only the irrelevant operators are constructed using fat links. In the isospin-1/2 sector, we observe, after appropriate spin and parity projection, a strong signal for the JP= 3/2-state, and find good agreement between the 1/2+mass and earlier nucleon mass simulations with a spin-1/2 interpolating field. For the isospin-3/2 Δ states, clear mass splittings are observed between the various 1/2±and 3/2±channels, with the calculated level orderings in good agreement with those observed empirically.
Zanotti, J. M., Choe, S., Leinweber, D. B., Melnitchouk, W., Williams, A. G., & Zhang, J. B. (2003). Spin-3/2 baryons in lattice QCD. Nuclear Physics B - Proceedings Supplements, 119, 299–301. https://doi.org/10.1016/S0920-5632(03)01544-5