Generic Rotation in a Collective SD Nucleon-Pair Subspace

Details Generic Rotation in a Collective SD Nucleon-Pair Subspace Generic Rotation in a Collective SD Nucleon-Pair Subspace

2002-06-18

arxiv.org/abs/nucl-th/0206042v1

Phys.Rev.C66:041301,2002

Physics

Nuclear Physics

Nuclear Theory

11 pages, 5 figures

Scientific paper

10.1103/PhysRevC.66.041301

Low-lying collective states involving many nucleons interacting by a random ensemble of two-body interactions (TBRE) are investigated in a collective SD-pair subspace, with the collective pairs defined dynamically from the two-nucleon system. It is found that in this truncated pair subspace collective vibrations arise naturally for a general TBRE hamiltonian whereas collective rotations do not. A hamiltonian restricted to include only a few randomly generated separable terms is able to produce collective rotational behavior, as long as it includes a reasonably strong quadrupole-quadrupole component. Similar results arise in the full shell model space. These results suggest that the structure of the hamiltonian is key to producing generic collective rotation.

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