TL;DR
This paper calculates the quark spin contribution to ground state baryons using a symmetry-based approach, revealing the need for third order symmetry breaking operators to match experimental data and predicting a large quark spin contribution for decuplet baryons.
Contribution
It introduces a spin-flavor symmetry parametrization method in QCD to explain baryon spin contributions, emphasizing the importance of third order SU(6) symmetry breaking operators.
Findings
Third order SU(6) symmetry breaking operators are essential to match experimental data.
The quark spin contribution to decuplet baryons is predicted to be significantly larger than their total angular momentum.
The calculated quark spin contribution for octet baryons aligns with experimental results.
Abstract
We calculate the quark spin contribution to the total angular momentum of flavor octet and flavor decuplet ground state baryons using a spin-flavor symmetry based parametrization method of quantum chromodynamics. We find that third order SU(6) symmetry breaking three-quark operators are necessary to explain the experimental result Sigma_1=0.32(10). For spin 3/2 decuplet baryons we predict that the quark spin contribution is Sigma_3=3.93(22), i.e. considerably larger than their total angular momentum.
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