Nuclear curvature energy from threshold energies

  • 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.

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Author:Harald von Groote, Eberhard HilfORCiDGND
Parent Title (English):Nuclear physics. A, Nuclear and hadronic physics
Place of publication:Amsterdam [u.a.]
Document Type:Article
Date of Publication (online):2009/10/29
Year of first Publication:1969
Publishing Institution:Universitätsbibliothek Johann Christian Senckenberg
Release Date:2009/10/29
Page Number:22
First Page:513
Last Page:534
© North-Holland Publishing Co., Amsterdam. Not to be reproduced by photoprint or microfilm without written permission from the publisher
Source:In: Nuclear Physics , Vol. A 129 (1969) , p. 513-534.
Institutes:Physik / Physik
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik
Licence (German):License LogoDeutsches Urheberrecht