Elsevier

Nuclear Physics A

Volume 375, Issue 2, 8 February 1982, Pages 217-237
Nuclear Physics A

The nucleus as a condensate of monopole and quadrupole pairing vibrations

https://doi.org/10.1016/0375-9474(82)90410-9Get rights and content

Abstract

It has been shown that the aligned wave function, and the wave function obtained by restricting pairs of particles to be coupled to angular momentum zero and two, as assumed by the quadrupole phonon model (QPM) and by the interacting boson model (IBM) are, for strongly deformed systems, rather different. They become similar in the vibrational limit and display different degrees of similarity for intermediate (anharmonic) situations. To what extent this difference reveals itself in the predicted properties of the low-energy nuclear spectrum is an open question. In an attempt to clarify this point we have calculated the spectrum and the electromagnetic and two-nucleon transfer probabilities for some strongly anharmonic and transitional nuclei, in the framework of the nuclear field theory (NFT) version of the pair aligned model. These calculations, which are microscopic, depend on the strength of the pairing and particle-hole interactions. We find that for standard values of these parameters, the moment of inertia of both the β- and the γ-bands are too small.

While the main pattern of the phase transition observed in the Sm isotopes is displayed by the model, major deviations are observed concerning the properties of the β-vibrations, and in connection with the two-nucleon transfer strength associated with the 2+ member of the ground state rotational band.

References (39)

  • A. Bohr et al.

    Mat. Fys. Medd. Dan. Vid. Selsk.

    (1953)
  • A. Bohr
  • D.R. Bès et al.

    Nucl. Phys.

    (1965)
    R.A. Broglia
  • D. Janssen et al.

    Nucl. Phys.

    (1974)
    R.V. Jolos et al.

    Yad. Fiz.

    (1974)
    R.V. Jolos et al.

    JINR P4-7223 Dubna

    (1973)
    R.V. Jolos et al.

    TMF

    (1974)
    D. Janssen
  • F. IachelloA. Arima
  • T. Otsuka et al.

    Phys. Lett.

    (1978)
    T. Otsuka et al.

    Phys. Lett.

    (1977)
  • T. Otsuka et al.

    Nucl. Phys.

    (1978)
  • D.R. Bès et al.

    Phys. Lett.

    (1974)
  • R.A. Broglia et al.

    Phys. Lett.

    (1971)
  • O. Scholten

    The interacting boson approximation model and applications

  • R.A. Broglia et al.

    Advances in nuclear physics

    (1973)
  • I. Ragnarsson et al.

    Nucl. Phys.

    (1976)
  • L.D. Landau

    J. Phys. USSR

    (1941)
    L.D. Landau et al.

    Statistical physics

    (1958)
  • H. Fröhlich et al.

    Phil. Mag.

    (1950)
  • T.D. Lee et al.

    Phys. Rev.

    (1952)
    D. Pines

    Elementary excitation in solids

    (1963)
  • W. Kohn

    Phys. Rev.

    (1957)
    J.M. Luttinger

    Phys. Rev.

    (1960)
  • A.B. Migdal

    Theory of finite fermi systems and applications to atomic nuclei

    (1967)
    A.R. Abrikosov et al.

    Methods of quantum field theory in statistical physics

    (1963)
  • A. Bohr et al.
  • D.R. Bès et al.

    Phys. Lett.

    (1974)
    D.R. Bès et al.

    Nucl. Phys.

    (1976)
    D.R. Bès et al.

    Nucl. Phys.

    (1976)
    D.R. Bès et al.

    Phys. Lett.

    (1975)
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    Operated by the Division of Basic Energy Sciences, US Department of Energy, under contract W-7405-eng-26 with the Union Carbide Corporation.

    On leave of absence from Istituto Nazionale di Fisica Nucleare, Laboratori Nazionali di Legnaro (Padova), Italy.

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