Multiparticle States and the Hadron Spectrum on the Lattice

Abstract

The Clebsch-Gordan decomposition is calculated for direct products of the irreducible representations of the cubic space group. These results are used to identify multiparticle states which appear in the hadron spectrum on the lattice. Consideration of the cubic space group indicates how combinations of both zero momentum and non-zero momentum multiparticle states contribute to the spectrum.

arXiv commentv2) Little groups for lattice momenta corrected. Includes a more consistent labeling scheme. (13 pages)

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Cited by in corpus (26)

• Excited state baryon spectroscopy from lattice QCD
• Toward the excited meson spectrum of dynamical QCD
• Two-particle multichannel systems in a finite volume with arbitrary spin
• S and D-wave phase shifts in isospin-2 pi pi scattering from lattice QCD
• Scattering phase shifts for two particles of different mass and non-zero total momentum in lattice QCD
• Multichannel one-to-two transition amplitudes in a finite volume
• X(3872) and Y(4140) using diquark-antidiquark operators with lattice QCD
• Meson and baryon spectrum for QCD with two light dynamical quarks
• Helicity operators for mesons in flight on the lattice
• Nucleon, $\Delta$ and $\Omega$ excited states in $N_f=2+1$ lattice QCD
• Extracting Scattering Phase-Shifts in Higher Partial-Waves from Lattice QCD Calculations
• Tetraquark operators in lattice QCD and exotic flavour states in the charm sector
• A lattice investigation of exotic tetraquark channels
• Excited State Nucleon Spectrum with Two Flavors of Dynamical Fermions
• Extended hadron and two-hadron operators of definite momentum for spectrum calculations in lattice QCD
• Dynamically-coupled partial-waves in $\rho \pi$ isospin-2 scattering from lattice QCD
• Nucleon-$J/\psi$ and nucleon-${\eta }_c$ scattering in $P_c$ pentaquark channels from LQCD
• Hadron-Hadron Interactions from $N_f=2+1+1$ Lattice QCD: The $\rho$-resonance
• Lattice operators for scattering of particles with spin
• Nuclear Reactions from Lattice QCD
• Excited-State Effective Masses in Lattice QCD
• Non-singlet quark helicity PDFs of the nucleon from pseudo-distributions
• Higgs and W boson spectrum from lattice simulations
• Multi-hadron states in Lattice QCD spectroscopy
• Partial-wave and helicity operators for the scattering of two hadrons in lattice QCD
• Operators for scattering of particles with spin