Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2010-04-30
Phys.Rev.D82:094504,2010
Physics
High Energy Physics
High Energy Physics - Lattice
14 pages. 12 figures, added some references and 1 figure, some sections have been revised, results unchanged
Scientific paper
10.1103/PhysRevD.82.094504
Positive-parity spin-1/2 excitations of the nucleon are explored in lattice QCD. The variational method is used in this investigation and several correlation matrices are employed. As our focus is on the utility and methodology of the variational approach, we work in the quenched approximation to QCD. Various sweeps of Gaussian fermion-field smearing is applied at the source and at the sink of $\chi_{1}\bar\chi_{1}$ and $\chi_{1}\chi_{2}$ correlation functions to obtain a large basis of operators. Using several different approaches for constructing basis interpolators, we demonstrate how improving the basis can split what otherwise might be interpreted as a single state into multiple eigenstates. Consistency of the extracted excited energy states are explored over various dimensions of the correlation matrices. The use of large correlation matrices is emphasized for the reliable extraction of the excited eigenstates of QCD.
Cais Alan Ó
Kamleh Waseem
Leinweber Derek B. .
Mahbub Selim M.
Williams Anthony G.
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