Positive-parity excited states of the nucleon in quenched lattice QCD

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dc.contributor.authorMahbub, M.
dc.contributor.authorCass, A.
dc.contributor.authorKamleh, W.
dc.contributor.authorLeinweber, D.
dc.contributor.authorWilliams, A.
dc.date.issued2010
dc.description.abstractPositive-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 are applied at the source and at the sink of χ1χ̅ 1 and χ1χ2 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.
dc.description.statementofresponsibilityM. S. Mahbub, Alan Ó. Cais, Waseem Kamleh, Derek B. Leinweber, and Anthony G. Williams
dc.identifier.citationPhysical Review D: Particles, Fields, Gravitation and Cosmology, 2010; 82(9):1-12
dc.identifier.doi10.1103/PhysRevD.82.094504
dc.identifier.issn1550-7998
dc.identifier.issn1550-2368
dc.identifier.orcidKamleh, W. [0000-0002-6177-5366]
dc.identifier.orcidLeinweber, D. [0000-0002-4745-6027]
dc.identifier.orcidWilliams, A. [0000-0002-1472-1592]
dc.identifier.urihttp://hdl.handle.net/2440/62152
dc.language.isoen
dc.publisherAmerican Physical Soc
dc.relation.grantARC
dc.rights©2010 American Physical Society
dc.source.urihttps://doi.org/10.1103/physrevd.82.094504
dc.titlePositive-parity excited states of the nucleon in quenched lattice QCD
dc.typeJournal article
pubs.publication-statusPublished

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