1 . INTRODUCTION....................................................................................................... 29 2. MODEL SPACES AND EFFECTIVE HAMILTONIANS ......................................................... 32 2.1 Model-Independent Eff ective HamiltoniansThe W Interaction/or sd-Shell Nuclei ........................................... ...............................................

Various perturbative and non-perturbative many-body techniques are discussed in this work. Especially, we will focus on the summation of so-called Parquet diagrams with emphasis on applications to finite nuclei. Here, the subset of two-body Parquet equations will be discussed. A practical implementation of the corresponding equations for studies of effective interactions for finite nuclei is ou...

Performing a shell model calculation for heavy nuclei has been a long-standing problem in nuclear physics. Here we propose one possible solution. The central idea of this proposal is to take the advantages of two existing models, the Projected Shell Model (PSM) and the Fermion Dynamical Symmetry Model (FDSM), to construct a multi-shell shell model. The PSM is an efficient method of coupling qua...

The shell-model Monte Carlo (SMMC) technique transforms the traditional nuclear shell-model problem into a path-integral over auxiliary fields. We describe below the method and its applications to four physics issues: calculations of sd-pf shell nuclei, a discussion of electron-capture rates in pf -shell nuclei, exploration of pairing correlations in unstable nuclei, and level densities in rare...

Quasi-nuclear systems, representing nuclei with variable size, are studied to investigate the occurrence of spin-orbit term in nuclear mean field transition from infinite matter finite nuclei. Relativistic as well non-relativistic calculations based on models for nucleon-nucleon ($NN$) interaction, which fit $NN$ scattering data, considered. A very strong correlation between strength and radius...