Dominance of low spin and high deformation in Ab initio approaches to the structure of light nuclei

T. Dytrych, Louisiana State University
J. P. Draayer, Louisiana State University
K. D. Sviratcheva, Louisiana State University
C. Bahri, Louisiana State University
J. P. Vary, Iowa State University


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.