|Date/Time:||Wednesday, 30 Mar 2011 - Saturday, 02 Apr 2011|
|Location:||A401 Zaffarano Hall|
|Contact:||Prof. James Vary|
Prof. Mark A. Caprio, University of Notre Dame
When a symmetry is a ``good'' symmetry of the nuclear system, it can directly give the spectroscopic properties of the nucleus, without the need for involved calculations. However, even if the symmetry is strongly broken, it nonetheless provides a calculational tool, classifying the basis states used in a full computational treatment of the many-body problem and greatly simplifying the underlying computational machinery. The symmetry then serves as the foundation for a physically meaningful truncation scheme for the calculation.
The fundamental quantities underlying symmetry-based calculations are the coupling coefficients, or generalized Clebsch-Gordan coefficients, for the symmetry group. Using the proton-neutron quasispin group SO(5) as an example, a general and systematic approach to large-scale computation of coupling coefficients will be outlined. A primary motivation for developing such methods is to make possible the use of symplectic symmetry in ab initio shell model calculations.