Advertisement

Pairing Correlations: Particle-Particle Excitations in Open-Shell Nuclei

  • Kris L. G. Heyde

Abstract

Until now we always considered a sharp Fermi level with a very particular distribution of level occupation probabilities. Up to the Fermi level, all levels are fully occupied, while above, all are unoccupied. This conforms with a Hartree-Fock static ground state with 1p – 1h, 2p – 2h, … excitations as elementary modes of excitation (see Sect. 6.2 for a discussion on the TDA approximation). A short range force of sufficient strength is now able to scatter couples of particles across the sharp Fermi level. For nuclei at or near doubly-closed shell configurations, this leads to a “diffuse” ground state with 2p – 2h, 4p – 4h,… correlations, much like the RPA ground state \(\left| {\tilde{0}} \right\rangle\) as discussed in Sect. 6.3. When, however, many nucleons outside closed shells are present, this pair can scatter, under certain conditions, lead to a stable, smooth probability distribution for the occupation of the single-particle orbitals. So, the pairing correlations set in and modify the nuclear ground state distribution of nucleons in nuclei in a major way (see Fig. 7.1).

Keywords

Dynamical Symmetry Break Pair Interact Boson Model Valence Nucleon Nuclear Shell Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin Heidelberg 1994

Authors and Affiliations

  • Kris L. G. Heyde
    • 1
  1. 1.Laboratorium voor Theoretische Fysica en Laboratorium voor Kernfysica, Vakgroep Subatomaire en StralingsfysicaUniversiteit GentGentBelgium

Personalised recommendations