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

Yépez-Martínez, H. and Morales-Hernández, G. E. and Hess, P. O. and Lévai, Géza and Fraser, P. R. (2013) Renormalization of coherent state variables, within the geometrical mapping of algebraic models. INTERNATIONAL JOURNAL OF MODERN PHYSICS E-NUCLEAR PHYSICS, 22 (4). ISSN 0218-3013

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Abstract

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. © 2013 World Scientific Publishing Company.

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