A comparative study of two lattice approaches to two-body systems

Abstract

We present a method to extract the spectrum of two-particle systems on the lattice from wave functions computed in lattice simulations. The energies of the Hamiltonian eigenstates are extracted from the eigenvalues of a matrix, similar to a potential, constrained by the wave functions. This method is compared with the traditional variational method in the isospin 2 $ππ$ system.

Talk given at 31st International Symposium on Lattice Field Theory (Lattice 2013), Mainz, Germany, 29 Jul - 3 Aug 2013, 7 pages, 6 figures