Finite-volume Hamiltonian method for $\pi \pi$ scattering in lattice QCD

Abstract

Within a formulation of $\pi \pi$ scattering, we investigate the use of the finite-volume Hamiltonian approach to resolving scattering observables from lattice QCD spectra. We consider spectra in the centre-of-mass and moving frames for both S- and P-wave cases. Furthermore, we investigate the multi-channel case. Here we study the use of the Hamiltonian framework as a parametrization that can be fit directly to lattice spectra. Through this method, the hadron properties, such as mass, width and coupling, can be directly extracted from the lattice spectra.

arXiv commentTalk given at the 10th International Workshop on the Physics of Excited Nucleons (NSTAR2015), Osaka, May 25--28 2015

References in corpus (7)

• Scattering phases for meson and baryon resonances on general moving-frame lattices
• Dynamical coupled-channel model of meson production reactions in the nucleon resonance region
• Energy dependence of the ρ resonance in ππ elastic scattering from lattice QCD
• The coupled-channel scattering on a torus
• A finite-volume matrix Hamiltonian model for a Delta -> nucleon-pion system
• Finite-volume Hamiltonian method for coupled channel interactions in lattice QCD
• Unitary coupled-channels model for three-mesons decays of heavy mesons

Cited by in corpus (2)

• Hamiltonian effective field theory in elongated or moving finite volume
• Towards high partial waves in lattice QCD with a dumbbell-like operator