Liquid-drop stability of a superdeformed prolate semi-spheroidal atomic clusterD. N. Poenaru1, 2, R. A. Gherghescu1, 2, A. V. Solov'yov2 and W. Greiner2
1 Horia Hulubei National Institute of Physics and Nuclear Engineering (IFIN-HH) RO-077125 Bucharest-Magurele, Romania
2 Frankfurt Institute for Advanced Studies (FIAS), J. W. Goethe Universität Max-von-Laue-Str. 1, D-60438 Frankfurt am Main, Germany
received 4 July 2007; accepted in final form 3 August 2007; published September 2007
published online 3 September 2007
Analytical relationships for the surface and curvature energies of oblate and prolate semi-spheroidal atomic clusters have been obtained. By modifying the cluster shape from a spheroid to a semi-spheroid (including the flat surface of the end cup) the most stable shape was changed from a sphere to a superdeformed prolate semi-spheroid. Potential energy surfaces vs. deformation and the number of atoms, N, illustrate this property independent of N.
36.40.Qv - Stability and fragmentation of clusters.
71.45.-d - Collective effects.
61.46.Bc - Clusters.
© Europhysics Letters Association 2007