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.
Author: | Harald von Groote, Eberhard HilfORCiDGND |
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URN: | urn:nbn:de:hebis:30-72038 |
ISSN: | 0375-9474 |
Parent Title (English): | Nuclear physics. A, Nuclear and hadronic physics |
Publisher: | Elsevier |
Place of publication: | Amsterdam [u.a.] |
Document Type: | Article |
Language: | English |
Date of Publication (online): | 2009/10/29 |
Year of first Publication: | 1969 |
Publishing Institution: | Universitätsbibliothek Johann Christian Senckenberg |
Release Date: | 2009/10/29 |
Volume: | 129 |
Page Number: | 22 |
First Page: | 513 |
Last Page: | 534 |
Note: | © 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. |
HeBIS-PPN: | 220047448 |
Institutes: | Physik / Physik |
Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
Licence (German): | Deutsches Urheberrecht |