We present results for the negative parity low-lying state of the nucleon,
N21ββ (1535 MeV) S11β, 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 (P11β) and the negative parity ground (S11β) 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 N21ββ state.Comment: 9 page