Projection operator formalisms and the nuclear shell model

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...

The Projection Operator Method and the Ashtekar-Horowitz-Boulware Model

Motivated by the recent work of Louko and Molgado, we consider the Ashtekar-Horowitz-Boulware model using the projection operator formalism. This paper uses the techniques developed in a recent paper of Klauder and Little to overcome the potential difficulties of this particular model. We also extend the model by including a larger class of functions than previously considered and evaluate the ...

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...

Effective Interactions for the Nuclear Shell Model

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 ........................................... ...............................................