The one-dimensional harmonic oscillator in a box problem is used to introduce the concept of an oblique-basis shell-model theory. The method is applied to nuclei by combining traditional spherical shell-model states with SU(3) collective configurations. An application to Mg, using the realistic two-body interaction of Wildenthal, is used to explore the validity of this oblique-basis, mixed-symm...

Nuclear physics plays an important role in stellar evolution. Fusion, proton capture, and neutron capture are all examples of the importance of the electromagnetic interaction in creating energy that powers stars. Weak interactions in nuclei, including electron capture and β-decay, play an important role in the evolution of both Type Ia and II supernovae and their nucleosynthesis. In this brief...

A review is presented of the development and current status of nuclear shell-model calculations in which the two-body effective interaction between the valence nucleons is derived from the free nucleon-nucleon potential. The significant progress made in this field within the last decade is emphasized, in particular as regards the so-called Vlow−k approach to the renormalization of the bare nucl...