Zeitschrift für Physik

, Volume 271, Issue 4, pp 377–389 | Cite as

Study ofpf-shell nuclei with a symmetry conserving generator coordinate method

  • K. Goeke
  • K. Allaart
  • H. Müther
  • Amand Faessler


Bands based on the 0+ ground state and the first excited 0+ pairing vibrational state of48Ti,52Cr and56Fe are studied with the generator coordinate method. The generating wave functions for each value of the angular momentumJ are angular momentum and particle number projected selfconsistent Hartree-Fock-Bogoliubov states where the constrained amount of pairing correlations serves as the generator coordinate. The interaction is given by reaction matrix elements derived from the Hamada-Johnston force. The basis includes the four lowest oscillator shells.

The excitation energies of the pairing vibrational states can be reproduced fairly well by the present choice of the generating wave functions, whereas the ground band is not much improved compared to projected Hartree-Bogoliubov calculations. We find that the strength of the pairing correlations in the 0+ and 2+ states of the ground state and the pairing vibrational bands can be related to data of two-particle transfer reactions. The angular momentum dependence of the pairing correlations and of the moments of inertia are studied. The results show that for a strongly paired ground state the ground state band and the pairing vibrational band intersect. This may produce in the yrast band the anomaly of the moment of inertia known from rare earth nuclei.


Angular Momentum Pairing Correlation Vibrational State Vibrational Band Ground State Band 
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Copyright information

© Springer-Verlag 1974

Authors and Affiliations

  • K. Goeke
    • 1
    • 2
  • K. Allaart
    • 2
  • H. Müther
    • 2
  • Amand Faessler
    • 2
    • 3
  1. 1.Department of Theoretical PhysicsUniversity of OxfordOxfordGreat Britain
  2. 2.Institut für KernphysikKernfor-schungsanlage JülichJülichWest Germany
  3. 3.Physik-DepartmentUniversität BonnBonnWest Germany

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