Spatially improved operators for excited hadrons on the lattice

Abstract

We present a new approach for determining spatially optimized operators that can be used for lattice spectroscopy of excited hadrons. Jacobi smeared quark sources with different widths are combined to construct hadron operators with different spatial wave functions. We use the variational method to determine those linear combinations of operators that have optimal overlap with ground and excited states. The details of the new approach are discussed and we demonstrate the power of the method using examples from quenched baryon and meson spectroscopy. In particular we study the Roper state and rho(1450) and discuss some physical implications of our tests.

References in corpus (3)

• Chiral multiplets of excited mesons
• Baryon operators and spectroscopy in lattice QCD
• Hybrid Meson Spectrum from the FLIC action

Cited by in corpus (39)

• Excited state baryon spectroscopy from lattice QCD
• Toward the excited meson spectrum of dynamical QCD
• Light Hadron Masses from Lattice QCD
• Restoration of chiral and $U(1{)}_A$ symmetries in excited hadrons
• Meson and baryon spectrum for QCD with two light dynamical quarks
• Excited hadrons on the lattice: Baryons
• Clebsch-Gordan Construction of Lattice Interpolating Fields for Excited Baryons
• Excited hadrons on the lattice: Mesons
• Hadron Spectroscopy with Dynamical Chirally Improved Fermions
• Symmetries of hadrons after unbreaking the chiral symmetry
• Spectral Analysis of Excited Nucleons in Lattice QCD with Maximum Entropy Method
• Structure and Flow of the Nucleon Eigenstates in Lattice QCD
• Search for low-lying lattice QCD eigenstates in the Roper regime
• Lattice baryon spectroscopy with multi-particle interpolators
• A variational study of two-nucleon systems with lattice QCD
• Excitations of single-beauty hadrons
• Excited Baryon Spectroscopy from Lattice QCD: Finite Size Effect and Hyperfine Mass Splitting
• Isolating Excited States of the Nucleon in Lattice QCD
• Derivative sources in lattice spectroscopy of excited light-quark mesons
• Multiparticle States and the Hadron Spectrum on the Lattice
• Variational method for lattice spectroscopy with ghosts
• Isolating the Roper Resonance in Lattice QCD
• Lattice calculation of low energy constants with Ginsparg-Wilson type fermions
• Even parity excitations of the nucleon in lattice QCD
• Centre vortex removal restores chiral symmetry
• QCD with two light dynamical chirally improved quarks: Mesons
• Angular momentum content of the rho-meson in lattice QCD
• The $\rho (1S,2S)$, $\psi (1S,2S)$, ${\rm Y}(1S,2S)$ and ${\psi }_t(1S,2S)$ mesons in a double pole QCD Sum Rule
• Masses of excited baryons from chirally improved quenched lattice QCD
• Domain decomposition improvement of quark propagator estimation
• The chiral and angular momentum content of the rho-meson
• The Hadron Spectrum from Lattice QCD
• Effective chiral restoration in the rho'-meson in lattice QCD
• Parity doublets in the baryon spectrum
• Baryon Operators and Baryon Spectroscopy
• Two Nucleon-States in a Chiral Quark-Diquark Model
• Baryons on the lattice
• Ground state mass in short lattices by controlling overconfidence and bias in Bayesian fits
• $N^{\ast }$ Resonances in Lattice QCD from (mostly) Low to (sometimes) High Virtualities