Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2009-05-22
Phys.Rev.D80:054507,2009
Physics
High Energy Physics
High Energy Physics - Lattice
May 2009.13pp, Minor changes and references added
Scientific paper
10.1103/PhysRevD.80.054507
We discuss a robust projection method for the extraction of excited-state masses of the nucleon from a matrix of correlation functions. To illustrate the algorithm in practice, we present results for the positive parity excited states of the nucleon in quenched QCD. Using eigenvectors obtained via the variational method, we construct an eigenstate-projected correlation function amenable to standard analysis techniques. The method displays its utility when comparing results from the fit of the projected correlation function with those obtained from the eigenvalues of the variational method. Standard nucleon interpolators are considered, with $2\times 2$ and $3\times 3$ correlation matrix analyses presented using various combinations of source-smeared, sink-smeared and smeared-smeared correlation functions. Using these new robust methods, we observe a systematic dependency of the nucleon excited-state masses on source- and sink-smearing levels. To the best of our knowledge, this is the first clear indication that a correlation matrix of standard nucleon interpolators is insufficient to isolate the eigenstates of QCD.
Cais Alan Ó
Kamleh Waseem
Lasscock Ben G.
Leinweber Derek B. .
Mahbub Selim M.
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