A lattice study of the spin structure of the Lambda hyperon
M. G\"ockeler, R. Horsley, D. Pleiter, P.E.L. Rakow, S. Schaefer, A., Sch\"afer, and G. Schierholz

TL;DR
This study uses lattice QCD methods to analyze the spin structure of the Lambda hyperon, providing insights into flavor symmetry breaking effects and contributing to the understanding of hadron spin structures.
Contribution
It presents the first lattice QCD calculations of the first moments of quark distribution functions in the Lambda hyperon, highlighting minimal flavor symmetry breaking effects.
Findings
Flavor symmetry breaking has little effect on Lambda's spin structure.
Results align with model-based expectations.
First lattice calculations of Lambda's quark distributions.
Abstract
The internal spin structure of the Lambda is of special importance for the understanding of the spin structure of hadrons in general. The comparison between the nucleon and Lambda allows for a test of the relevant flavour-symmetry breaking effects. Using nonperturbatively O(a) improved Wilson fermions in the quenched approximation we have calculated the first moments of the unpolarised, longitudinally polarised and transversity quark distribution functions in the Lambda. The results indicate that flavour symmetry breaking has little effect on the internal spin structure, in accordance with model based expectations.
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