Deformation inside and outside the nuclear molecules

 

J. Cseh^a, J. Darai ^b, N.V. Antonenko^c, A. Algora^d, P.O. Hess^e, R.V. Jolos^f and W. Scheid ^g

^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 Institut fur Theoretishe Physik der Justus–Liebig–Universitat Giessen, Germany, Joint Institute for Nuclear Research, 141980 Dubna, Russia.

^d Institute of Nuclear Research of the Hungarian Academy of Sciences, Debrecen, Pf. 51, Hungary–4001.

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

^f Institut fur Theoretishe Physik der Justus–Liebig–Universitat Giessen, Germany Joint Institute for Nuclear Research, 141980 Dubna, Russia.

^g Institutfur Theoretishe Physik der Justus–Liebig–Universitat Giessen, Germany.

 

Recibido el 27 de enero de 2006
Aceptado el 3 de mayo de 2006

 

Abstract

We investigate the interrelation of the clusterization and quadrupole deformation of atomic nuclei, as well as the role of the deformation of the clusters. In our study we incorporate both the energetic preference, and the effect of the Pauli–exclusion principle. The ⁴⁰Ca nucleus is considered as an illustrative example. The applied methods can be generalised to heavy nuclei, and to ternary clusterization, too.

Keywords: Cluster models; group theory.

 

Resumen

Se investiga la relación entre la formación de cúmulos y la deformación cuadrupolar de núcleos atómicos, así como la importancia de la deformación de los cúmulos mismos. En el presente trabajo se incorporan tanto a la preferencia energética como al principio de Pauli. Se considera al núcleo ⁴⁰Ca como un ejemplo ilustrativo. Los métodos usados pueden extenderse a núcleos pesados y a sistemas de tres cúmulos.

Descriptores: Modelos de cumulos; teoría de grupos.

 

PACS:21.60.Fw;21.60.Gx

 

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Acknowledgements

This work was supported by the OTKA (Grant Nos. T37502, T46791), by the MTA–CONACyT joint project, and by DGAGPA (Grant No. IN119002). J. Cseh recognizes partial support of the Alexander von Humboldt foundation, while A. Algora that of the Janos Bolyai research fellowship.

 

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