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arXiv · 2301.06837

Low-energy constants in the chiral Lagrangian with baryon octet and decuplet fields from Lattice QCD data on CLS ensembles

Matthias F. M. Lutz·Yonggoo Heo·Xiao-Yu Guo
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Abstract

We perform an analysis of Lattice QCD data on baryon octet and decuplet masses based on the chiral SU(3) Lagrangian. Low-energy constants (LEC) are adjusted to describe baryon masses from a large set of CLS ensembles, where finite-box and discretization effects are considered. The set is successfully compared against previous Lattice QCD data from ensembles generated with distinct QCD actions by the ETMC, QCDSF-UKQCD and HSC groups. Discretization effects are modelled by the use of action and lattice-scale dependent leading orders LEC, where uniform values are imposed in the limit of vanishing lattice scales. From the CLS data set we extract a pion-nucleon sigma term, $\sigma_{\pi N}= 58.7(1.2)$ MeV, compatible with its empirical value and a sizeable strangeness content of the nucleon with $\sigma_{sN} = -316(76)$ MeV.

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Matthias F. M. Lutz, Yonggoo Heo, Xiao-Yu Guo. 2023-01-17. Low-energy constants in the chiral Lagrangian with baryon octet and decuplet fields from Lattice QCD data on CLS ensembles. https://doi.org/10.1140/epjc%2Fs10052-023-11556-1

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