2022 Impact factor 2.7
Hadrons and Nuclei

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

Supersymmetry for nuclear cluster systems

G. Lévai1, J. Cseh1 and P. Van Isacker2

1  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


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

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 $\chem{core+\alpha}$ configurations is discussed in which the core is a p-shell nucleus and the underlying superalgebra is $U(4\vert 12)$. The $\alpha$-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 $U(4\vert 12)$ supersymmetry.

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

© Società Italiana di Fisica, Springer-Verlag 2001