2006/11/30 by Jon A. Bailey
Chemistry · Physics and Astronomy · #Baryon #Chemistry #Flavor #High-Energy Particle Collisions Research #Lattice QCD #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Quark #Valence (chemistry) #hep-lat
paper · pdf · doi:10.1103/physrevd.75.114505
published as Phys.Rev.D75:114505,2007 · 57 pages. v2: Added references and an appendix on couplings of operators to excited states. Minor errors corrected. Version accepted for publication in Phys. Rev. D
arxiv created 2007/04/06 · openalex publication_date 2007/06/29 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The construction of the first baryon operators for staggered lattice QCD exploited the taste symmetry to emulate physical quark flavor; contemporary 2+1 flavor simulations explicitly include three physical quark flavors and necessitate interpreting a valence sector with 12 quarks. After discussing expected features of the resulting baryon spectrum, I consider the spectra of operators transforming irreducibly under SU(3)F\ifmmode×\else\texttimes\fiGTS, the direct product of flavor SU(3)F and the geometrical time-slice group of the 1-flavor staggered theory. I then describe the construction of a set of maximally local baryon operators transforming irreducibly under SU(3)F\ifmmode×\else\texttimes\fiGTS and enumerate this set. In principle, the operators listed here could be used to extract the masses of all the lightest spin-(1)/(2) and spin-(3)/(2) baryon resonances of staggered QCD. Using appropriate operators from this set in partially quenched simulations should allow for particularly clean 2+1 flavor calculations of the masses of the nucleon, \ensuremathΔ, \ensuremathΣ*, \ensuremathΞ*, and \ensuremathΩ^\ensuremath-.