Phenomenological and microscopic cluster models. I. the geometric mapping

H. Yépez-Martínez, P. R. Fraser, P. O. Hess, G. Lévai

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

The geometrical mapping of algebraic nuclear cluster models is investigated within the coherent state formalism. Two models are considered: the semimicroscopic algebraic cluster model (SACM) and the phenomenological algebraic cluster model (PACM), which is a special limit of the SACM. The SACM strictly observes the Pauli exclusion principle while the PACM does not. The discussion of the SACM is adapted to the coherent state formalism by introducing the new SO(3) dynamical symmetry limit and third-order interaction terms in the Hamiltonian. The potential energy surface is constructed in both models and it is found that the effects of the Pauli principle can be simulated by higher-order interaction terms in the PACM. The present study is also meant to serve as a starting point for investigating phase transitions in the two algebraic cluster models.

Original languageEnglish
Article number014316
JournalPhysical Review C - Nuclear Physics
Volume85
Issue number1
DOIs
Publication statusPublished - Jan 18 2012

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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