Elsevier

Annals of Physics

Volume 197, Issue 2, 1 February 1990, Pages 205-264
Annals of Physics

A density variational approach to nuclear giant resonances at zero and finite temperature

https://doi.org/10.1016/0003-4916(90)90211-6Get rights and content

Abstract

We present a density functional approach to the description of nuclear giant resonances (GR), using Skyrme type effective interactions. We exploit hereby the theorems of Thouless and others, relating RPA sum rules to static (constrained) Hartree-Fock expectation values. The latter are calculated both microscopically and, where shell effects are small enough to allow it, semiclassically by a density variational method employing the gradient-expanded density functionals of the extended Thomas-Fermi model. In contrast to the widely spread fluid-dynamical approach, our method has the advantage of dealing with realistic density profiles with continuous surfaces and of allowing us to use realistic effective nuclear interactions including nonlocalities, such as effective mass and spin-orbit terms and the Coulomb interaction. We obtain an excellent overall description of both systematics and detailed isotopic dependence of GR energies, in particular with the Skyrme force SkM. For the breathing modes (isoscalar and isovector giant monopole modes), and to some extent also for the isovector dipole mode, the A-dependence of the experimental peak energies is better described by coupling two different modes (corresponding to two different excitation operators) of the same spin and parity and evaluating the eigenmodes of the coupled system. Our calculations are also extended to hot nuclei (without angular momentum) and the temperature dependence of the various GR energies is discussed.

References (134)

  • O. Bohigas et al.

    Phys. Rep.

    (1979)
  • D.J. Thouless

    Nucl. Phys.

    (1961)
  • G.E. Brown
  • M. Brack et al.

    Phys. Rep.

    (1985)
  • M. Golin et al.

    Nucl. Phys. A

    (1975)
  • D.M. Brink et al.

    Nucl. Phys. A

    (1976)
  • K. Goeke et al.

    Phys. Lett. B

    (1976)
  • G.F. Bertsch

    Nucl. Phys. A

    (1975)
  • J.R. Nix et al.

    Phys. Rev. C

    (1980)
  • J.P. Blaizot

    Phys. Lett. B

    (1978)
  • B.K. Jennings

    Phys. Lett. B

    (1980)
  • M. Brack

    Phys. Lett. B

    (1983)
  • L.J. Tassie

    Aust. J. Phys.

    (1956)
  • D.E. Medjadi et al.

    Nucl. Phys. A

    (1985)
  • D. Vautherin

    Phys. Lett. B

    (1977)
  • M.J. Giannoni et al.

    Phys. Rev. C

    (1980)
  • D.M. Brink
  • J.O. Newton et al.

    Phys. Rev. Lett.

    (1981)
    J.J. Gårdhøje

    Phys. Rev. Lett.

    (1987)
    J.J. Gårdhøje et al.

    Nucl. Phys. A

    (1989)
  • W. Besold et al.

    Nucl. Phys. A

    (1984)
  • J. Bar Touv

    Phys. Rev. C

    (1985)
  • J. Meyer et al.

    Phys. Lett. B

    (1983)
  • J. Meyer et al.
  • M. Barranco et al.

    Phys. Lett. B

    (1985)
  • M. Barranco et al.

    Nucl. Phys. A

    (1985)
  • M. Brack

    Phys. Rev. Lett.

    (1984)
    M. Brack

    Phys. Rev. Lett.

    (1985)
  • J. Bartel et al.

    Nucl. Phys. A

    (1985)
  • M. Brack et al.
  • T.H.R. Skyrme

    Phil. Mag.

    (1956)
    T.H.R. Skyrme

    Nucl. Phys.

    (1959)
  • J. Bartel et al.

    Nucl. Phys. A

    (1982)
  • J. Dobaczewski et al.

    Nucl. Phys. A

    (1984)
  • Van Giai Nguyen et al.

    Nucl. Phys. A

    (1981)
  • M.J. Giannoni et al.

    Phys. Lett. B

    (1976)
  • M.J. Giannoni et al.

    Phys. Rev. C

    (1980)
  • S. Stringari

    Nucl. Phys. A

    (1977)
  • J.P. da Providência
  • A.S. Jensen et al.

    Phys. Scripta

    (1981)
  • M. Brack et al.

    Nucl. Phys. A

    (1983)
  • P. Gleissl et al.P. Gleissl et al.

    J. Phys. (Paris) Colloq.

    (1987)
  • H.M. Sommermann

    Ann Phys. (N.Y.)

    (1983)
  • J. Treiner et al.

    Ann. Phys (N.Y.)

    (1986)
  • A.K. Dutta

    Nucl. Phys. A

    (1986)
    F. Tondeur et al.

    Nucl. Phys. A

    (1987)
  • V.M. Strutinsky

    Nucl. Phys. A

    (1968)
  • M. Brack et al.

    Phys. Lett. B

    (1976)
  • W. Stocker et al.

    Nucl. Phys. A

    (1987)
  • C.Y. Wong et al.

    Phys. Rev. C

    (1977)
  • A. Magner et al.

    Z. Phys. A

    (1985)
  • J. Treiner et al.

    Nucl. Phys. A

    (1981)
  • M. Buenerd
  • M.M. Sharma et al.

    Phys. Rev. C

    (1988)
    M.M. Sharma
  • J.W.S. Rayleigh
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    Work partially supported by the French-German Scientific Exchange Program “PROCOPE”.

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