Nuclear Curvature Energy from Threshold Energies

H. von Groote
Eberhard R. Hilf   Phone: +49-(0)441-798-2542   Fax: +49-(0)441-798-3201


Date: 19681217

Article: published in Nuclear Physics A129, p. 513-534, ( 1969 )

Theoretical studies in the shell model have led to the conclusion that the shape dependence
of the liquid-drop part of the semi-empirical mass formula of the Weizsaecker-Bethe type should
contain terms proportional to the volume, the surface, and the mean-total curvature of the 
surface of the drop, respectively. Now the surface tension beta_e and the curvature tension gamma_e 
are fitted to the experimentally known fission barriers of 35 nuclei. Furthermore, the parameters
of the liquid-drop part of the mass formula are roughly fitted to the ground-state masses of
about 600 beta-stable nuclei. For the elementary radius r_e, the value 1.123 fm ( determined
by Elton ) is used. As a result, gamma_e should be in the range 6-8 MeV, with the value 6.8 MeV
being the most probable, thus beta_e=17.85 MeV. For sufficiently large values of the curvature
tension ( e.g. gamma_e=13.4 MeV ), a small double-hump fission barrier occurs in the region of Ra.

DC-Metatags done by WUFI 1.1
Metadata by Thomas Severiens on 12 April 1999
Supporting work done by Sandra Valeska Bergmann.