Finite-volume Hamiltonian method for $\ddot{I}€\ddot{I}€$ scattering in lattice QCD

Abstract

Within a formulation of $\ddot{I}€\ddot{I}€$ 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.

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