Nuclear structure and triaxiality with thealgebraic collective model

摘要

A tractable scheme for numerical diagonalization of the Bohr Hamiltonian, based onSU(1, 1) x SO(5) algebraic methods, has recently been proposed. The direct product basis obtainedfrom an optimally chosen set of SU(1,1)B wave functions and the SO(5) spherical harmonicsYvaLM(Y,O) provides an exceedingly efficient basis for numerical solution, as compared to con-ventional diagonalization in a five-dimensional oscillator basis. In this contribution, the status ofthe SU(1, 1) x SO(5) algebraic collective model is summarized and applications are presented. Inparticular, the transition from axially symmetric to triaxial structure is explored.