Spin-dependent generalized collective model in relation to the <i>j</i>=3/2 interacting boson fermion model

Dirk Heumann; Martin Greiner; Werner Scheid; Günther Braunss

doi:10.1103/PhysRevC.50.812

Spin-dependent generalized collective model in relation to the j=3/2 interacting boson fermion model

Dirk Heumann, Martin Greiner, Werner Scheid, and Günther Braunss

Phys. Rev. C 50, 812 – Published 1 August 1994

Abstract

The linearized collective Schrödinger equation for nuclear quadrupole vibrations describes nuclei with spin 3/2 in the ground state. Another model, which has been developed for nuclei with spin 3/2, is the j=3/2 interacting boson fermion model. We use a special property of the Clifford algebra, which appears in the linearized collective Schrödinger equation, to establish a connection between both models. We also compare the predictions of both approaches for various spin-3/2 nuclei.

Received 1 March 1994

DOI:https://doi.org/10.1103/PhysRevC.50.812

Authors & Affiliations

Dirk Heumann

Institut für Theoretische Physik der Justus-Liebig-Universität, Heinrich-Buff-Ring 16, D-35392 Giessen, Germany
Department of Physics, Columbia University, 538 West 120th Street, Box 68 Pupin, New York, NY 10027

Martin Greiner and Werner Scheid