Wave function of the Roper from lattice QCD

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dc.contributor.authorRoberts, D.
dc.contributor.authorKamleh, W.
dc.contributor.authorLeinweber, D.
dc.contributor.organisationSpecial Research Centre for the Subatomic Structure of Matter
dc.date.issued2013
dc.description.abstractWe apply the eigenvectors from a variational analysis in lattice QCD to successfully extract the wave function of the Roper state, and a higher mass P<inf>11</inf> state of the nucleon. We use the 2+1 flavour 32<sup>3</sup>×64 PACS-CS configurations at a near-physical pion mass of 156 MeV. We find that both states exhibit a structure consistent with a constituent quark model. The Roper d-quark wave function contains a single node consistent with a 2S state, and the third state wave function contains two, consistent with a 3S state. A detailed comparison with constituent quark model wave functions is carried out, obtained from a Coulomb plus ramp potential. These results validate the approach of accessing these states by constructing a variational basis composed of different levels of fermion source and sink smearing. Furthermore, significant finite volume effects are apparent for these excited states which mix with multi-particle states, driving their masses away from physical values and enabling the extraction of resonance parameters from lattice QCD simulations. © 2013 .
dc.description.statementofresponsibilityDale S. Roberts, Waseem Kamleh, Derek B. Leinweber
dc.identifier.citationPhysics Letters B: Nuclear Physics and Particle Physics, 2013; 725(1):164-169
dc.identifier.doi10.1016/j.physletb.2013.06.056
dc.identifier.issn0370-2693
dc.identifier.orcidKamleh, W. [0000-0002-6177-5366]
dc.identifier.orcidLeinweber, D. [0000-0002-4745-6027]
dc.identifier.urihttp://hdl.handle.net/2440/80052
dc.language.isoen
dc.publisherElsevier Science BV
dc.relation.grantARC
dc.rights© 2013 Published by Elsevier B.V.
dc.source.urihttps://doi.org/10.1016/j.physletb.2013.06.056
dc.subjectRoper resonance
dc.subjectWave functions
dc.subjectLattice QCD
dc.titleWave function of the Roper from lattice QCD
dc.typeJournal article
pubs.publication-statusPublished

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