Topics in the structure of hadronic systems

Abstract

In this dissertation the author examines a variety of different problems in the physics of strongly-bound systems. Each is elucidated by a different standard method of analysis developed to probe the properties of such systems. He begins with an examination of the properties and consequences of the current algebra of weak currents in the limit of heavy quark spin-flavor symmetry. In particular, he examines the assumptions in the proof of the Ademollo-Gatto theorem in general and for spin-flavor symmetry, and exhibit the constraints imposed upon matrix elements by this theorem. Then he utilizes the renormalization-group method to create composite fermions in a three-generation electroweak model. Such a model is found to reproduce the same low energy behavior as the top-condensate electroweak model, although in general it may have strong constraints upon its Higgs sector. Next he uncovers subtleties in the nonrelativistic quark model that drastically alter the picture of the physical origins of meson electromagnetic and hyperfine mass splittings; in particular, the explicit contributions due to (md-mu) and electrostatic potentials may be overwhelmed by other effects. Such novel effects are used to explain the anomalous pattern of mass splittings recently measured in bottom mesons. Finally, he considers the topic of baryon masses in heavy fermion chiral perturbation theory, including both tree-level and loop effects.