Ordering of Spin-$\frac{1}{2}$ Excitations of the Nucleon in Lattice QCD

Details Ordering of Spin-$\frac{1}{2}$ Excitations of the Nucleon in Lattice QCD Ordering of Spin-$\frac{1}{2}$ Excitations of the Nucleon in Lattice QCD

2010-07-28

arxiv.org/abs/1007.4871v1

Phys.Lett.B693:351-357,2010

Physics

High Energy Physics

High Energy Physics - Lattice

9 pages

Scientific paper

10.1016/j.physletb.2010.08.049

We present results for the negative parity low-lying state of the nucleon, $N{\frac{1}{2}}^{-}$ (1535 MeV) ${\rm S}_{11}$, from a variational analysis method. The analysis is performed in quenched QCD with the FLIC fermion action. The principal focus of this paper is to explore the level ordering between the Roper (${\rm{P}}_{11}$) and the negative parity ground (${\rm{S}}_{11}$) states of the nucleon. Evidence of the physical level ordering is observed at light quark masses. A wide variety of smeared-smeared correlation functions are used to construct correlation matrices. A comprehensive correlation matrix analysis is performed to ensure an accurate isolation of the $N{\frac{1}{2}}^{-}$ state.

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