Average Nuclear Properties from the Nuclear Effective Interaction

  • Jacques Treiner
Part of the NATO ASI Series book series (volume 123)


Atomic nuclei are small Fermi systems -even the heavy ones: the ratio of the number of nucleons in the surface region (~2.5 fm) to the number of nucleons in the bulk is ≈ 1 in the largest nuclei and of course greater in smaller ones. This characteristic implies that volume, surface, curvature...effects cannot be analyzed separately and are hard to disentangle from experimental data. Moreover in their ground state nuclei are close to being spherical and the symmetries associated with this shape produce quantum fluctuations which make the task of exhibiting the smooth trends of nuclear properties more difficult. In one of their reference paper on the Droplet Modell , Myers and Swiatecki point out “ an analogy that serves to bring out this relation between average nuclear properties and shell-effect fluctuations [...] The topography of the earth, in which the average shape (a somewhat oblate spheroid) is modified by sharp local fluctuations (mountains). On the one hand the determination of the earth radius and oblateness from a few local triangulations, especially in mountainous country, would be wellnigh impossible. On the other hand, given methods that perform suitable averages over the sharp fluctuations of the earth’s surface (such as experiment with artificial satellites), one is able to determine the shape of the earth with great accuracy, including higher harmonics. Thus the pear-shaped component of the earth’s figure may be measured quite accurately even though its amplitude is much less than the amplitude of the fluctuations associated with local mountain ranges. ”


Symmetry Energy Giant Dipole Resonance Giant Resonance Fission Barrier Neutron Skin 
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Copyright information

© Plenum Press, New York 1985

Authors and Affiliations

  • Jacques Treiner
    • 1
  1. 1.Institut de Physique NucleaireOrsay CedexFrance

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