Nuclear shell model in natural basis

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...

Large-basis shell-model calculations for p-shell nuclei

Results of large-basis shell-model calculations for nuclei with A = 7 − 11 are presented. The effective interactions used in the study were derived microscopically from the Reid93 potential and take into account the Coulomb potential as well as the charge dependence of T = 1 partial waves. For A = 7, a 6h̄Ω model space was used, while for the rest of the studied nuclides, the calculations were p...

Shell model on a random Gaussian basis.

Pauli-projected random gaussians are used as a representation to solve the shell model equations. The elements of the representation are chosen by a variational procedure. This scheme is particularly suited to describe cluster formation and cluster decay in nuclei. It overcomes the basis-size problem of the ordinary shell model and the technical difficulties of the cluster-configuration shell m...

Effective Interactions for the Nuclear Shell Model