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Prog. Theor. Phys. Vol. 59 No. 4 (1978) pp. 1213-1229

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Giant Resonances: A Comparison between TDHF and Fluid Dynamics in Small Amplitude Vibrations of Spherical Nuclei

Hiroyuki Sagawa and Gottfried Holzwarth*

Institute for Nuclear Study, University of Tokyo, Tokyo 188
*Physik-Department der Techn. Universität München, 8046 Garching

(Received September 24, 1977)

Abstract:

Small amplitude vibrations of spherical nuclei are considered in microscopic (RPA) and fluid-dynamical description. Assuming the concentration of transition strength into one collective state, the microscopic result can be brought into close analogy to constrained fluid-dynamical motion. The decisive difference occurs in the contribution of the microscopic kinetic energy to the collective potential energy. It is shown that extension of fluid dynamics to include dynamical distortions of the local Fermi surface is sufficient to reproduce the microscopic results. Numerical examples are given for L = 0 and L = 2 isoscalar modes for a Skyrme-type nucleon-nucleon force.


URL : http://ptp.ipap.jp/link?PTP/59/1213/
DOI : 10.1143/PTP.59.1213

[ Full Text PDF : FREE ACCESS (1284K) ] Citation:


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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 61 No. 4 (1979) pp. 1065-1081 :
    Isoscalar Giant Resonances and Landau Parameters with Density-Dependent Effective Interactions
    Michio Kohno and Kazuhiko Andō
  2. Progress of Theoretical Physics Vol. 64 No. 5 (1980) pp. 1627-1649 :
    Macroscopic Structure of Giant Multipole Resonance States
    Toshio Suzuki
  3. Progress of Theoretical Physics Vol. 71 No. 6 (1984) pp. 1263-1274 :
    A Dynamical Macroscopic Description of Isovector Giant Multipole States
    Shigeru Nishizaki and Kazuhiko Andō
  4. Progress of Theoretical Physics Supplement No.74 & 75 (1983) pp. 319-329 :
    Sum Rule Approach to Giant Resonance States
    Toshio Suzuki