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arXiv · 1504.05291

The 't Hooft coupling and baryon mass splitting in the large-N chiral model

Duojie Jia·JiaShen Zhang
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Abstract

We study the 't Hooft coupling $g_{t}$ and the mass splitting of the ground-state baryons in a chiral quark model inspired by the large $N_{c}$ QCD. Depending on $g_{t}$ the Hartree wavefunction of light quark in baryons is used to map the mass hyperfine splittings for the octet and decuplet baryons. The 't Hooft coupling $g_{t}$ that reproduces the data of baryon masses is determined to be around $1.57$, which is small in the sense that $g_{t}^{2}/(4πN_{c})\ll $$1$.

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Duojie Jia, JiaShen Zhang. 2015-04-21. The 't Hooft coupling and baryon mass splitting in the large-N chiral model. https://doi.org/10.1088/0256-307x%2F32%2F11%2F111201

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