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https://hdl.handle.net/2440/80052
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Type: | Journal article |
Title: | Wave function of the Roper from lattice QCD |
Author: | Roberts, D. Kamleh, W. Leinweber, D. |
Citation: | Physics Letters B: Nuclear Physics and Particle Physics, 2013; 725(1):164-169 |
Publisher: | Elsevier Science BV |
Issue Date: | 2013 |
ISSN: | 0370-2693 |
Organisation: | Special Research Centre for the Subatomic Structure of Matter |
Statement of Responsibility: | Dale S. Roberts, Waseem Kamleh, Derek B. Leinweber |
Abstract: | We apply the eigenvectors from a variational analysis in lattice QCD to successfully extract the wave function of the Roper state, and a higher mass P11 state of the nucleon. We use the 2+1 flavour 323×64 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 . |
Keywords: | Roper resonance Wave functions Lattice QCD |
Rights: | © 2013 Published by Elsevier B.V. |
DOI: | 10.1016/j.physletb.2013.06.056 |
Grant ID: | ARC |
Published version: | http://dx.doi.org/10.1016/j.physletb.2013.06.056 |
Appears in Collections: | Aurora harvest 4 Special Research Centre for the Subatomic Structure of Matter publications |
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