FEW BODY PROBLEMS IN NUCLEAR AND PARTICLE PHYSICS (HELIUM-4, BARYONS, QUARKS, MESONS)

Interaction models are developed in nuclear and particle physics, and properties of few body systems are calculated in terms of these models. In nuclear physics, realistic three nucleon interaction (TNI) models are developed and applied to three and four body nuclei. In particle physics, a semi-relativistic quark model is developed and hadron spectra are calculated.; We first describe the interaction models and their theoretical basis. We review the NN interaction models and then discuss two pion exchange models of TNI. Additionally, we present a semi-relativistic quark model based upon flux tubes and the one gluon exchange interaction.; We then discuss techniques of solving the Schroedinger equation for few body systems. The variational Monte Carlo method, which we use for our calculations, is presented in some detail, and the Faddeev and GFMC methods are reviewed briefly. We compare results obtained for simple model interactions with the various methods, and also develope a technique which allows calculations of particle unstable states to be performed.; Finally, we compare our results with experiment. In nuclear physics, we calculate the binding energy, rms radii, charge form factors, magnetic moments, and coulomb energy for the ground states of three and four body nuclei. We also present results of calculations of scattering states in ('4)He. In particle physics, we calculate the spectra of baryons made up of up and down quarks, and mesons consisting of both light and heavy quarks.