Abstract
A molecular model of fission is introduced in which the compound nucleus before scission is described. The ground state wave function is assumed to be a BCS wave function. The single particle wave functions are expanded in terms of eigenfunctions of the unperturbed spherical fragments. The BCS wave function is determined from the minimum condition for the total energy. The fragment masses, the centers of mass, and the total proton and neutron numbers are kept constant. The resulting BCS and Hartree-Bogoliubov equations are solved approximately within the framework of an extended Nilsson model. The numerical results for the charge distribution in low energy fission of236U are in agreement with experiments. The heavier (lighter) fragment has on the average 0.5 protons less (more) than expected on the basis of the socalled unchanged charge distribution (UCD). At magic configurations the charge distribution shows characteristic deviations from the average value due to the shell structure of the fragments. The charge distribution seems to result mainly from three competing effects:
-
a)
from the level density of the unperturbed fragments in the vicinity of the Fermi energy.
-
b)
from the Coulomb interaction between the fragments, and
-
c)
from the asymmetry energy.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
I wish to thank Prof. W.Wild for suggesting this work, for his active interest and helpful comments. I am indebted to Prof. H.J.Mang for stimulating discussions and for revising the manuscript. I am grateful to Dr. P.Armbruster and Dr. H.Schmidt for interesting discussions. Finally, I wish to acknowledge the cooperation of the Telefunken TR4 computer staff of the „Kommission für elektronisches Rechnen der Bayerischen Akademie der Wissenschaften“.
Rights and permissions
About this article
Cite this article
Nörenberg, W. Theory of mean primary charge distribution in low energy fission of even-even nuclei. Z. Physik 197, 246–261 (1966). https://doi.org/10.1007/BF01325942
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01325942