2012

The Flavor Structure of the Excited Baryon Spectra from Lattice QCD

Edwards, Robert G., Mathur, Nilmani, Richards, David G. et al.

Understand

Excited state spectra are calculated using lattice QCD for baryons that can be formed from $u$, $d$ and $s$ quarks, namely the $N$, $\Delta$, $\Lambda$, $\Sigma$, $\Xi$ and $\Omega$ families of baryons.

Baryonic operators are constructed from continuum operators that transform as irreducible representations of SU(3)$_F$ symmetry for flavor, SU(4) symmetry for Dirac spins of quarks and O(3) symmetry for orbital angular momenta.
Covariant derivatives are used to realize orbital angular momenta.
Using the operators, we calculate matrices of correlation functions in order to extract excited states.

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Then

R. G. Edwards, J. J. Dudek, D. G. Richards, and S. J. Wallace, Phys.Rev. D84
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