Semimicroscopic algebraic cluster model of light nuclei. I. Two-cluster-systems with spin-isospin-free interactions

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Abstract

The relation of the phenomenological algebraic cluster model, i.e., of the vibron model and its extensions, to the microscopic description is discussed. Based on this connection a semimicroscopic approach is formulated, in which the internal cluster degrees of freedom are treated in terms of the SU(3) shell model, and the relative motion is described by the vibron model. For a two-cluster system this model has a group structure of UST C1(4)⊗UC1(3)⊗UR(4)⊗UC2(3) ⊗UST C2 (4), and the phenomenological interactions are obtained in terms of the group generators. The model space is constructed to be free from the Pauli-forbidden states and spurious center of mass motion, similar to that of the SU(3) cluster model. Three examples, the 12C + α, the 12C + 12C and the 14C + α systems are presented to demonstrate various aspects of the semimicroscopic algebraic cluster model.

Original languageEnglish
Pages (from-to)165-200
Number of pages36
JournalAnnals of Physics
Volume230
Issue number2
DOIs
Publication statusPublished - Mar 1994

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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