Eur. Phys. J. A 12, 305-308 (2001)

Supersymmetry for nuclear cluster systems

G. Lévai¹, J. Cseh¹ and P. Van Isacker<sup>2

1</sup>  Institute of Nuclear Research of the Hungarian Academy of Sciences, Debrecen, Pf. 51, 4001 Hungary
²  GANIL, BP 55027, F-14076 Caen Cedex 5, France

levai@atomki.hu

(Received: 14 September 2001 Communicated by P. Schuck)

Abstract
A supersymmetry scheme is proposed for nuclear cluster systems. The bosonic sector of the superalgebra describes the relative motion of the clusters, while its fermionic sector is associated with their internal structure. An example of configurations is discussed in which the core is a p-shell nucleus and the underlying superalgebra is . The -cluster states of the nuclei ²⁰Ne and ¹⁹F are analyzed and correlations between their spectra, electric quadrupole transitions, and one-nucleon transfer reactions are interpreted in terms of supersymmetry.

PACS
21.60.Fw - Models based on group theory.
21.60.Gx - Cluster models.
11.30.Pb - Supersymmetry.

© Società Italiana di Fisica, Springer-Verlag 2001