Meaning ofS−Ddominance

Abstract

The dominance of S and D pairs in the description of deformed nuclei is one of the facts that provided sustain to the Interacting Boson Approximation. In Ref.[1], using an exactly solvable model with a repulsive pairing interaction between bosons it has been shown that the ground state is described almost completely in terms of S and D bosons. In the present paper we study the excited states obtained within this exactly solvable hamiltonian and show that in order to obtain a rotational spectra all the other degrees of freedom are needed.

Angular momentum decomposition of Richardson's pairs

“…In a more recent publication it was proposed that an exact solvable boson Hamiltonian with a repulsive pairing interaction to simulate the influence of the Pauli principle. From the solutions of this Hamiltonian, the spectra of the ground state rotational band [15] was obtained. In this case it was shown that in order to obtain reasonable results, higher angular momenta must be included in the treatment.…”