The interactions of hadrons containing a heavy quark in the strong coupling limit of lattice QCD

Abstract

In this thesis we calculate the interaction potentials between two hadrons that are pinned in place on the lattice by infinitely heavy quarks. The potentials are calculated to leading order in the strong coupling and hopping parameter expansions for the following six systems: meson/meson, baryon/antimeson, baryon/baryon, meson/antimeson, baryon/meson and baryon/antibaryon. For each hadron/hadron system, we consider all allowed spin and isospin configurations for the light quarks. The interaction potentials we find take the form of one-meson-exchange potentials, whose sign and magnitude depends on the light quarks' spin and isospin.