Wave Function of the Roper from Lattice QCD
arXiv:1304.0325 · doi:10.1016/j.physletb.2013.06.056
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 P_11 state of the nucleon. We use the 2+1 flavour 32^3x64 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.
arXiv comment7 pages, 9 figures
References in corpus (19)
- 2+1 Flavor Lattice QCD toward the Physical Point
- A Lattice Study of the Nucleon Excited States with Domain Wall Fermions
- Excited Baryons in Lattice QCD
- Isolating the Λ(1405) in Lattice QCD
- Nucleon, and excited states in lattice QCD
- Lattice QCD determination of patterns of excited baryon states
- Nucleon Properties from Unconventional Interpolating Fields
- Roper Resonance in 2+1 Flavor QCD
- Structure and Flow of the Nucleon Eigenstates in Lattice QCD
- Negative-parity Baryon Masses using an O(a)-improved Fermion Action
- Negative-Parity Baryon Spectroscopy
- Baryon Spectroscopy in Lattice QCD
- Isolating Excited States of the Nucleon in Lattice QCD
- Discretisation Errors in Landau Gauge on the Lattice
- Renormalization Group Analysis of Lattice Theories and Improved Lattice Action. II -- four-dimensional non-abelian SU(N) gauge model
- Excited baryons from Bayesian priors and overlap fermions
- Bethe-Salpeter Amplitudes and Density Correlations for Mesons with Wilson Fermions
- A Study of Hadron Deformation in Lattice QCD
- Wave Functions of the Proton Ground State in the Presence of a Uniform Background Magnetic Field in Lattice QCD
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- Hamiltonian effective field theory study of the resonance in lattice QCD
- Structure of the Roper Resonance from Lattice QCD Constraints
- Lattice baryon spectroscopy with multi-particle interpolators
- Search for low-lying lattice QCD eigenstates in the Roper regime
- Electromagnetic Transition Form Factors of Baryon Resonances
- Nucleon Excited State Wave Functions from Lattice QCD
- Light-quark contributions to the magnetic form factor of the Lambda(1405)
- Elastic Form Factors of Nucleon Excitations in Lattice QCD
- N* Spectroscopy from Lattice QCD: The Roper Explained
- Nucleon resonance structure in the finite volume of lattice QCD
- Theoretical tools for neutrino scattering: interplay between lattice QCD, EFTs, nuclear physics, phenomenology, and neutrino event generators
- Review of Hadron Structure Calculations on a Lattice
- A lattice QCD study of pion-nucleon scattering in the Roper channel
- Structure of the Nucleon and its Excitations
- Chiral Analysis of the Nucleon Mass and Sigma Commutator
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- baryon spectroscopy in lattice QCD
- Probing the proton and its excitations in full QCD
- Exploring the Roper wave function in Lattice QCD
- A Vision of Hadronic Physics
- Understanding the structure of nucleon excitations from their wavefunctions
- Physics Opportunities with Meson Beams