Dominance of low spin and high deformation in Ab initio approaches to the structure of light nuclei
Abstract
Ab initio no-core shell-model solutions for the structure of light nuclei are shown to be dominated by low-spin and high-deformation configurations. This impUes that only a small fraction of the fidl model space is important for a description of bound-state properties of light nuclei. It further points to the fact that the coupUng scheme of choice for carrying out calculations for light nuclear systems is an algebraic-based, no-core shell-model scheme that biulds upon an LS coupling [SO(3) ⊗ SU(2)] foundation with the spatial part of the model space further organized into its symplectic [SO(3) ⊂ SU(3) C Sp(3,R)] structure. Residts for 12C and 160 are presented with the cluster nature of the excited 0+ states in 160 analyzed within this framework. The residts of the analysis encourages the development of a no-core shell model code that takes advantage of algebraic methods as well as modem computational techniques. Indeed, although it is often a very challenging task to cast complex algebraic constructs into simple logical ones that execute efficiently on modem computational systems, the construction of such a next-generation code is currently underway. © 2009 American Institute of Physics.