Astronomy and Astrophysics – Astrophysics
Scientific paper
Jan 2008
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008aipc..972..165p&link_type=abstract
EXOTIC NUCLEI AND NUCLEAR/PARTICLE ASTROPHYSICS (II): Proceedings of the Carpathian Summer School of Physics 2007. AIP Conferen
Astronomy and Astrophysics
Astrophysics
Cluster Models, 220<=A, Alpha Decay, Potential Energy Surfaces, Fission Reactions
Scientific paper
The macroscopic-microscopic method is used to illustrate the shell effect stabilizing superheavy nuclei and to study the stability of semi-spheroidal clusters deposited on planar surfaces. The alpha decay of superheavy nuclei is calculated using three models: the analytical superasymmetric fission model; the universal curve, and the semiempirical formula taking into account the shell effects. Analytical relationships are obtained for the energy levels of the new semi-spheroidal harmonic oscillator (SSHO) single-particle model and for the surface and curvature energies of the semi-spheroidal clusters. The maximum degeneracy of the SSHO is reached at a super-deformed prolate shape for which the minimum of the liquid drop model energy is also attained.
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