TY - JOUR A1 - Groote, Harald von A1 - Hilf, Eberhard T1 - Nuclear curvature energy from threshold energies T2 - Nuclear physics. A, Nuclear and hadronic physics N2 - 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. Y1 - 2009 UR - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/7222 UR - https://nbn-resolving.org/urn:nbn:de:hebis:30-72038 SN - 0375-9474 N1 - © North-Holland Publishing Co., Amsterdam. Not to be reproduced by photoprint or microfilm without written permission from the publisher VL - 129 SP - 513 EP - 534 PB - Elsevier CY - Amsterdam [u.a.] ER -