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Title: Saddle point shapes of nuclei

Abstract

Very general reflection asymmetrical saddle point nuclear shapes are obtained by solving an integro-differential equation without being necessary to specify a certain parametrization. This equation is derived as an Euler-Lagrange relationship associated to the variational problem of minimizing the potential energy with constraints (constant volume and given deformation parameter). The mass asymmetry in binary cold fission of Th and U isotopes is explained as the result of adding a phenomenological shell correction to the liquid drop model deformation energy. Applications to ternary fission are outlined.

Authors:
 [1];  [2];  [1];  [3]
  1. Horia Hulubei National Institute of Physics and Nuclear Engineering (IFIN-HH), Bucharest-Magurele (Romania)
  2. (Germany)
  3. Frankfurt Institute for Advanced Studies, Johann Wolfgang Goethe University, Frankfurt (Germany)
Publication Date:
OSTI Identifier:
21057109
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 899; Journal Issue: 1; Conference: 6. international conference of the Balkan Physical Union, Istanbul (Turkey), 22-26 Aug 2006; Other Information: DOI: 10.1063/1.2733031; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; ASYMMETRY; COLD FISSION; CORRECTIONS; EUROPIUM; INTEGRO-DIFFERENTIAL EQUATIONS; LIQUID DROP MODEL; NUCLEAR DEFORMATION; NUCLEAR STRUCTURE; NUCLEI; POTENTIAL ENERGY; RADIOISOTOPES; TERNARY FISSION; THORIUM ISOTOPES; URANIUM ISOTOPES; VARIATIONAL METHODS

Citation Formats

Poenaru, D. N., Frankfurt Institute for Advanced Studies, Johann Wolfgang Goethe University, Frankfurt, Plonski, I. H., and Greiner, W.. Saddle point shapes of nuclei. United States: N. p., 2007. Web. doi:10.1063/1.2733031.
Poenaru, D. N., Frankfurt Institute for Advanced Studies, Johann Wolfgang Goethe University, Frankfurt, Plonski, I. H., & Greiner, W.. Saddle point shapes of nuclei. United States. doi:10.1063/1.2733031.
Poenaru, D. N., Frankfurt Institute for Advanced Studies, Johann Wolfgang Goethe University, Frankfurt, Plonski, I. H., and Greiner, W.. Mon . "Saddle point shapes of nuclei". United States. doi:10.1063/1.2733031.
@article{osti_21057109,
title = {Saddle point shapes of nuclei},
author = {Poenaru, D. N. and Frankfurt Institute for Advanced Studies, Johann Wolfgang Goethe University, Frankfurt and Plonski, I. H. and Greiner, W.},
abstractNote = {Very general reflection asymmetrical saddle point nuclear shapes are obtained by solving an integro-differential equation without being necessary to specify a certain parametrization. This equation is derived as an Euler-Lagrange relationship associated to the variational problem of minimizing the potential energy with constraints (constant volume and given deformation parameter). The mass asymmetry in binary cold fission of Th and U isotopes is explained as the result of adding a phenomenological shell correction to the liquid drop model deformation energy. Applications to ternary fission are outlined.},
doi = {10.1063/1.2733031},
journal = {AIP Conference Proceedings},
number = 1,
volume = 899,
place = {United States},
year = {Mon Apr 23 00:00:00 EDT 2007},
month = {Mon Apr 23 00:00:00 EDT 2007}
}