Renormalization of coherent state variables, within the geometrical mapping of algebraic models

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

Research output: Contribution to journalArticle


We investigate the geometrical mapping of algebraic models. As particular examples we consider the semimicriscopic algebraic cluster model (SACM) and the phenomenological algebraic cluster model (PACM), which also contains the vibron model as a special case. In the geometrical mapping, coherent states are employed as trial states. We show that the coherent state variables have to be renormalized and not the interaction terms of the Hamiltonian, as is usually done. The coherent state variables will depend on the total number of bosons and the coherent state variables. The nature of these variables is extracted through a relation obtained by comparing physical observables, such as the distance between the clusters or the quadrupole deformation of the nucleus, to their algebraic counterpart.

Original languageEnglish
Article number1350022
JournalInternational Journal of Modern Physics E
Issue number4
Publication statusPublished - Apr 1 2013


  • Algebraic nuclear cluster model
  • geometric mapping
  • phase transition

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy(all)

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