Ground-state energy shift of n pions and m kaons in a finite volume

Abstract

The ground state energy of a collection of n pions and m kaons with short range interactions is calculated for a volume with finite spatial extent L and periodic boundary conditions. This calculation is accomplished to order L^-6 in the large volume expansion. With this result one can extract the various two- and three-body interactions between pions and kaons from lattice QCD data.