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Spin-3/2 nucleon andΔbaryons in lattice QCD

2003/04/01 by J. M. Zanotti, Derek B. Leinweber, D. B. Leinweber +8 · 58 citations
Physics and Astronomy · #Baryon #High-Energy Particle Collisions Research #Isospin #Lattice (music) #Lattice QCD #Nucleon #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Spin (aerodynamics) #hep-lat

paper · pdf · doi:10.1103/physrevd.68.054506

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 68(5) (American Physical Society) · 17 pages, 8 figures, 2 tables

arxiv created 2003/04/01 · openalex publication_date 2003/09/29 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We present the first results for masses of spin-(3)/(2) N and \ensuremathΔ baryons in lattice QCD using fat-link irrelevant clover fermions. Spin-(3)/(2) interpolating fields, providing overlap with both spin-(3)/(2) and spin-(1)/(2) states, are considered. In the isospin-(1)/(2) sector we observe, after appropriate spin and parity projection, a strong signal for the JP=(3)/(2)^\ensuremath- state together with a weak but discernible signal for the (3)/(2)+ state with a mass splitting near that observed experimentally. We also find good agreement between the (1)/(2)^\ifmmode±\else\textpm\fi masses and earlier nucleon mass simulations with the standard spin-(1)/(2) interpolating field. For the isospin-(3)/(2) \ensuremathΔ states, clear mass splittings are observed between the various (1)/(2)^\ifmmode±\else\textpm\fi and (3)/(2)^\ifmmode±\else\textpm\fi channels, with the calculated level orderings in good agreement with those observed empirically.

Citations