Nuclear Shell Model and the -Decay Schemes, I

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...

Shell-model analysis of the 136Xe double beta decay nuclear matrix elements.

Neutrinoless double beta decay, if observed, could distinguish whether the neutrino is a Dirac or a Majorana particle, and it could be used to determine the absolute scale of the neutrino masses. 136Xe is one of the most promising candidates for observing this rare event. However, until recently there were no positive results for the allowed and less rare two-neutrino double beta decay mode. Th...

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