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Type: Conference paper
Title: The wave function of the Roper resonance
Author: Roberts, D.
Kamleh, W.
Leinweber, D.
Citation: PoS (Lattice 2012); 261
Publisher: Proceedings of Science
Publisher Place: Italy
Issue Date: 2012
ISSN: 1824-8039
Conference Name: International Symposium on Lattice Field Theory (30th : 2012 : Cairns, Australia)
Statement of
Dale S. Roberts, Waseem Kamleh, Derek B. Leinweber
Abstract: We apply the eigenvectors from a variational analysis to successfully extract the wave function of the Roper state, and the next P₁₁ state of the nucleon, associated with the N*(1710). 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 N*(1710) contains two, consistent with a 3S state. A detailed investigation of the mass dependence of the wave functions of these states is carried out at four quark masses. The lightest mass provides a pion mass of 156 MeV, just slightly above the physical mass of 139.6 MeV. The ground state wave function shows little mass dependence, consistent with prior wave function investigations. The wave functions of the Roper and second excited state show finite volume effects which become prominent at heavier quark masses than for the ground state.
Description: Extent: 7p.
Rights: © Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence
RMID: 0020126998
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Appears in Collections:Special Research Centre for the Subatomic Structure of Matter publications

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