2013/12/09 by Waseem Kamleh, Kamleh, Waseem, Derek B. Leinweber +3
Physics and Astronomy · #Eigenvalues and eigenvectors #Excited state #FOS: Physical sciences #Fermion #High Energy Physics - Lattice (hep-lat) #High-Energy Particle Collisions Research #Lattice (music) #Lattice QCD #Nucleon #Particle physics #Particle physics theoretical and experimental studies #Physics #Pion #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Quark #Statistical physics #Wave function #hep-lat
paper · pdf · doi:10.48550/arxiv.1312.2314
7 pages, 5 figures; presented at the 31st International Symposium on Lattice Field Theory (Lattice 2013), 29 July - 3 August 2013, Mainz, Germany
arxiv created 2013/12/09 · openalex publication_date 2013/12/09 · arxiv updated 2013/12/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Using a correlation matrix analysis consisting of a variety of smearings, the CSSM Lattice collaboration has successfully isolated states associated with the Roper resonance and other "exotic" excited states such as the Λ(1405) on the lattice at near-physical pion masses. We explore the nature of the Roper by examining the eigenvectors that arise from the variational analysis, demonstrating that the Roper state is dominated by the χ1 nucleon interpolator and only poorly couples to χ2. By examining the probability distribution of the Roper on the lattice, we find a structure consistent with a constituent quark model. In particular, the Roper d-quark wave function contains a single node consistent with a 2S state. A detailed comparison with constituent quark model wave functions is carried out, validating the approach of accessing these states by constructing a variational basis composed of different levels of fermion source and sink smearing.