THREE-ALPHA MODEL CALCULATIONS OF 12C IN THE FADDEEV FORMALISM

Abstract

This chapter discusses three-alpha model calculations of 12 C in the Faddeev formalism. Study with the viewpoint of α-like four-body correlations and molecular structures in light nuclei has revealed the possible existence of multicluster states near or above the dissociation energy of the α-particle. This chapter explores the structure of 12 C by adopting the 3α boson model in the Faddeev formalism, where α–α effective interaction is employed, reproducing the characteristics obtained microscopically. It discusses the isospin T =0 states, which can be treated as bound states when the Coulomb effect is switched off. Several important low-lying states are obtained owing to the roles of the partial waves up to G contributing in a characteristic way for each state. In particular, this treatment can predict two 0 + states with quite different characters: (1) the ground state with the triangle form where the S, D, and G waves contribute equally in the binding and (2) the well-developed cluster state with the weakly coupled α + 8 Be(0 + ) feature near the α-threshold.