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Prog. Theor. Phys. Vol. 64 No. 5 (1980) pp. 1627-1649

[ Full Text PDF : FREE ACCESS (1727K) ]

Macroscopic Structure of Giant Multipole Resonance States

Toshio Suzuki

Research Institute for Fundamental Physics, Kyoto University, Kyoto 606

(Received June 23, 1980)

Abstract:

With use of Skyrme forces, macroscopic structure of giant resonance states is discussed on isoscalar quadrupole and isovector dipole and quadrupole modes. On the basis of the sum rules for the nuclear four-current we construct the semiclassical model, where the time-dependent wave functions are obtained by the scale and the gauge transformation of the ground state wave functions as introduced by Bertsch et al. Whereas the restoring force for isoscalar modes stems mainly from volume terms of the energy density, in isovector modes, besides the volume terms, surface terms not only from the symmetry potential energy, but also from isoscalar potential energy play a crucial role. The dependence of the frequencies on the mass number (A), the effective mass (m*) and the exchange effect (k) is shown to be mode-dependent. The effects of N≠Z and the nuclear deformation are also discussed. The useful relationship between frequencies of the three modes is derived, being in good agreement with experiment.


URL : http://ptp.ipap.jp/link?PTP/64/1627/
DOI : 10.1143/PTP.64.1627

[ Full Text PDF : FREE ACCESS (1727K) ] Citation:

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Citing Article(s) :

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  2. Journal of the Physical Society of Japan 81 (2012) 044001 (14 pages) :
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  3. Progress of Theoretical Physics Vol. 65 No. 2 (1981) pp. 565-585 :
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  4. Progress of Theoretical Physics Vol. 65 No. 3 (1981) pp. 910-918 :
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  5. Progress of Theoretical Physics Vol. 68 No. 4 (1982) pp. 1196-1216 :
    A Dynamical Macroscopic Description of Isoscalar Giant Multipole States in Terms of the Displacement Potential
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  6. Progress of Theoretical Physics Vol. 71 No. 6 (1984) pp. 1263-1274 :
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  7. Progress of Theoretical Physics Vol. 75 No. 4 (1986) pp. 862-879 :
    Nuclear Fluid Dynamics at a Finite Temperarute
    J. P. da Providência
  8. Progress of Theoretical Physics Vol. 94 No. 5 (1995) pp. 931-936 :
    A Sum-Rule Constraint on the Soft Dipole Mode
    Haruki Kurasawa and Toshio Suzuki
  9. Progress of Theoretical Physics Supplement No.74 & 75 (1983) pp. 319-329 :
    Sum Rule Approach to Giant Resonance States
    Toshio Suzuki
  10. Progress of Theoretical Physics Supplement No.74 & 75 (1983) pp. 367-379 :
    Symmetry Energy and Isovector Collective Motions
    S. Stringari
  11. Progress of Theoretical Physics Supplement No.142 (2001) pp. 325-354 :
    Excitation Modes of Nuclei Far from Stability*
    Muneharu Yokoyama

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