Eur. Phys. J. A 12, 305-308 (2001)
Supersymmetry for nuclear cluster systems
G. Lévai1, J. Cseh1 and P. Van Isacker21 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.
21.60.Fw - Models based on group theory.
21.60.Gx - Cluster models.
11.30.Pb - Supersymmetry.
© Società Italiana di Fisica, Springer-Verlag 2001