Coherent and chaotic properties of nuclear pairing

Details Coherent and chaotic properties of nuclear pairing Coherent and chaotic properties of nuclear pairing

2001-09-07

arxiv.org/abs/nucl-th/0109022v2

Phys.Rev. C65 (2002) 054312

Physics

Nuclear Physics

Nuclear Theory

31 pages, 13 figures

Scientific paper

10.1103/PhysRevC.65.054312

The properties of the pairing interaction in the shell model framework are considered with the aid of the exact numerical solution utilizing the quasispin symmetry. We emphasize the features which are out of reach for the usual approximate techniques based on the BCS approach supplemented by the random phase approximation treatment of pair vibrations, especially in the region of weak pairing where the BCS+RPA theory fails. For the first time chaotic aspects of the mixing generated by the pairing interaction are studied. The level repulsion and large information entropy of the eigenstates coexist with the absence of thermalization of single-particle motion. The full spectrum of pair vibration in average displays the spin dependence similar to that for a rigid rotor.

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