Scale setting and the light baryon spectrum in Nf = 2 + 1 QCD with Wilson fermions

نویسندگان

چکیده

We determine the light baryon spectrum on ensembles generated by Coordinated Lattice Simulations (CLS) effort, employing $N_f=2+1$ flavours of non-perturbatively improved Wilson fermions. The hadron masses are interpolated and extrapolated within quark mass plane, utilizing three distinct trajectories, two which intersect close to physical point third one approaching SU(3) chiral limit. results continuum limit, six different lattice spacings ranging from $a\approx 0.10\,$fm down below $0.04\,$fm. pion varies $M_{\pi}\approx 429\,$MeV $127\,$MeV. In general, spatial extent is kept larger than four times inverse $2.3\,$fm, with additional small large volume investigate finite size effects. flow scales $\sqrt{t_{0,{\rm ph}}}=0.1449^{(7)}_{(9)}\,$fm $t_0^*\approx t_{0,{\rm ph}}$ octet cascade ($\Xi$ baryon). Determining in we find nucleon $m_N=941.7^{(6.5)}_{(7.6)}\,$MeV other stable agree their experimental values sub-percent level uncertainties. Moreover, SU(2) perturbation theory low energy constants, including $\Omega$ sigma~terms $\sigma_{\pi N}=43.9(4.7)\,$MeV, $\sigma_{\pi\Lambda}=28.2^{(4.3)}_{(5.4)}\,$MeV, $\sigma_{\pi\Sigma}=25.9^{(3.8)}_{(6.1)}\,$MeV, $\sigma_{\pi\Xi}=11.2^{(4.5)}_{(6.4)}\,$MeV $\sigma_{\pi\Omega}=6.9^{(5.3)}_{(4.3)}\,$MeV, as well various parameters, renormalization factors improvement coefficients that relevant for simulations our action.

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ژورنال

عنوان ژورنال: Journal of High Energy Physics

سال: 2023

ISSN: ['1127-2236', '1126-6708', '1029-8479']

DOI: https://doi.org/10.1007/jhep05(2023)035