Localized versus shell–model–like clusters

J. Csehª, J. Darai^b, A. Algora^c, H. Yépez–Martínez^d and P.O. Hess^e

ª Institute of Nuclear Research of the Hungarian Academy of Sciences, Debrecen, Pf 51, Hungary–4001, e–mail: cseh@atomki.hu

^b Institute of Experimental Physics, University of Debrecen, Debrecen, Bem tér 18/A, Hungary–4026.

^c Institute of Nuclear Research of the Hungarian Academy of Sciences, Debrecen, Pf. 51, Hungary–4001, IFIC (CSIC–Universidad de Valencia) A.C. 22085, E–46071 Valencia, Spain.

^d Universidad Autónoma de la Ciudad de México, Prolongación San Isidro 151, Col. San Lorenzo Tezonco, Del. Iztapalapa, México, D.F. 09790, México.

^e Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Apartado Postal, 70–543, México, D.F. 04510, México.

Recibido el 13 de febrero de 2008
Aceptado el 15 de mayo de 2008

Abstract

In light of the relation of the shell model and the cluster model, the concepts of localized and shell–model–like clusters are discussed. They are interpreted as different phases of clusterization, which may be characterized by quasi–dynamical symmetries, and are connected by a phase–transition.

Keywords: Cluster models; models based on group theory.

Resumen

En la búsqueda de la relación entre el modelo de capas y el modelo de cúmulos, los conceptos de cúmulo localizado y cúmulo tipo modelo de capas son discutidos. Estos son interpretados como diferentes fases de clusterización, las cuales pueden ser caracterizadas por simetrías cuasi–dinámicas, y están conectadas por una transición de fase.

Descriptores: Modelos de cúmulos; modelos con base en la teoría de grupos.

PACS:21.60.Gx;21.60.Fw

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Acknowledgments

This work was supported by the OTKA (Grant No. K72357), DGAPA, CONACyT, and by the MTA–CONACyT, as well as by the MTA–CSIC exchange programs. One of us (J Cs) acknowledges fruitful discussions with dr. N Itagaki on the phases of nuclear states.

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