Nuclear Shell Guide

Mixed Symmetry Nuclear Shell Model

A mixed-symmetry nuclear shell-model scheme for carrying out calculations in regimes where there is a competition between two or more modes is proposed. A one-dimensional toy model is used to demonstrate the concept. The theory is then applied to 24Mg and 44T i. For lower pf -shell nuclei such as 44−48T i and 48Cr there is strong SU(3) symmetry breaking due to the spin-orbit interaction. Howeve...

Beyond the nuclear shell model

© 2007 American Institute of Physics, S-0031-9228-0711-030-9 Nuclei, the fuel that burns in stars, make up 99.9% of all baryonic matter in the universe.1 The complex nature of the nuclear forces among protons and neutrons generates a broad range and diversity of nuclear phenomena. Developing a comprehensive description of nuclei and their reactions represents one of the great intellectual oppor...

Effective Interactions for the Nuclear Shell Model

Nuclear matter with off-shell propagation

Symmetric nuclear matter is studied within the conserving, self-consistent T -matrix approximation. This approach involves off-shell propagation of nucleons in the ladder diagrams. The binding energy receives contributions from the background part of the spectral function, away form the quasiparticle peak. The Fermi energy at the saturation point fulfills the Hugenholz-Van Hove relation. In com...

Status of the Nuclear Shell Model

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