Scale setting and the light baryon spectrum in Nf_{f} = 2 + 1 QCD with Wilson fermions

Collaboration
Nov 7, 2022
132 pages
Published in:
  • JHEP 05 (2023) 035,
  • JHEP 05 (2023) 035
  • Published: May 5, 2023
e-Print:

Citations per year

20222023202420254202
Abstract: (Springer)
We determine the light baryon spectrum on ensembles generated by the Coordinated Lattice Simulations (CLS) effort, employing Nf_{f} = 2 + 1 flavours of non-perturbatively improved Wilson fermions. The hadron masses are interpolated and extrapolated within the quark mass plane, utilizing three distinct trajectories, two of which intersect close to the physical quark mass point and the third one approaching the SU(3) chiral limit. The results are extrapolated to the continuum limit, utilizing six different lattice spacings ranging from a ≈ 0.10 fm down to below 0.04 fm. The light pion mass varies from Mπ_{π} ≈ 429 MeV down to 127 MeV. In general, the spatial extent is kept larger than four times the inverse pion mass and larger than 2.3 fm, with additional small and large volume ensembles to investigate finite size effects. We determine the Wilson flow scales t0,ph=0.1449(9)(7)fm \sqrt{t_{0,\textrm{ph}}}={0.1449}_{(9)}^{(7)}\textrm{fm} [1] and t0t0,ph {t}_0^{\ast}\approx {t}_{0,\textrm{ph}} [2] from the octet cascade (Ξ baryon). Determining the light baryon spectrum in the continuum limit, we find the nucleon mass mN=941.7(7.6)(6.5) {m}_N={941.7}_{(7.6)}^{(6.5)} MeV and the other stable baryon masses to agree with their experimental values within sub-percent level uncertainties. Moreover, we determine SU(3) and SU(2) chiral perturbation theory low energy constants, including the octet and the Ω baryon sigma terms σπN_{πN} = 43.9(4.7) MeV, σπΛ=28.2(5.4)(4.3) {\sigma}_{\pi \Lambda}={28.2}_{(5.4)}^{(4.3)} MeV, σπΣ=25.9(6.1)(3.8) {\sigma}_{\pi \Sigma}={25.9}_{(6.1)}^{(3.8)} MeV, σπΞ=11.2(6.4)(4.5) {\sigma}_{\pi \Xi}={11.2}_{(6.4)}^{(4.5)} and σπΩ=6.9(4.3)(5.3) {\sigma}_{\pi \Omega}={6.9}_{(4.3)}^{(5.3)} MeV, as well as various parameters, renormalization factors and improvement coefficients that are relevant for simulations with our lattice action.[graphic not available: see fulltext]
Note:
  • 132 pages, many figures. v2: reordered the content, improved cross linking, added some explanations, corrected typos, improved/corrected three figures, added one new comparison figure, updated the literature
  • Lattice QCD
  • Hadronic Spectroscopy
  • Structure and Interactions
  • Chiral Lagrangian
  • Properties of Hadrons
  • flavor: 3
  • quark: mass
  • fermion: Wilson
  • hadron: mass
  • baryon: stability