Multi-hadron states in Lattice QCD spectroscopy

Abstract

The ability to reliably measure the energy of an excited hadron in Lattice QCD simulations hinges on the accurate determination of all lower-lying energies in the same symmetry channel. These include not only single-particle energies, but also the energies of multi-hadron states. This talk deals with the determination of multi-hadron energies in Lattice QCD. The group-theoretical derivation of lattice interpolating operators that couple optimally to multi-hadron states is described. We briefly discuss recent algorithmic developments which allow for the efficient implementation of these operators in software, and present numerical results from the Hadron Spectrum Collaboration.

5 pages, 3 figures, talk given at Hadron 2009, Tallahassee, Florida, December 1, 2009

References in corpus (5)

• Highly excited and exotic meson spectrum from dynamical lattice QCD
• Group-theoretical construction of extended baryon operators in lattice QCD
• Angular Momentum on the Lattice: The Case of Non-Zero Linear Momentum
• Multiparticle States and the Hadron Spectrum on the Lattice
• The excited hadron spectrum in lattice QCD using a new method of estimating quark propagation

Cited by in corpus (9)

• Unitarized Chiral Perturbation Theory in a finite volume: scalar meson sector
• Scalar mesons moving in a finite volume and the role of partial wave mixing
• The $KD$, $\eta D_s$ interaction in finite volume and the nature of the $D_{s^{\ast }0}(2317)$ resonance
• Scattering of unstable particles in a finite volume: the case of pi rho scattering and the a1(1260) resonance
• Strategy to find the two $\Lambda (1405)$ states from lattice QCD simulations
• The pion-pion Interaction in the rho Channel in Finite Volume
• Finite volume treatment of pi pi scattering and limits to phase shifts extraction from lattice QCD
• The $DN$, $\pi {\Sigma }_c$ interaction in finite volume and the ${\Lambda }_c(2595)$ resonance
• On ambiguities of sign determination of the S-matrix from energy levels in a finite box