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Phys. Rev. C 63, 014307 (2000) [10 pages]

Spin structure of many-body systems with two-body random interactions

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Lev Kaplan1, Thomas Papenbrock1, and Calvin W. Johnson2
1Institute for Nuclear Theory, University of Washington, Seattle, Washington 98195
2Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803

Received 6 July 2000; published 15 December 2000

We investigate the spin structure of many-fermion systems with a spin-conserving two-body random interaction. We find a strong dominance of spin-0 ground states and considerable correlations between energies and wave functions of low-lying states with different spin, but no indication of pairing. The spectral densities exhibit spin-dependent shapes and widths, and depend on the particle density as well as on the relative strengths of the spin-0 and spin-1 couplings in the two-body random matrix. The spin structure of low-lying states can largely be explained analytically.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevC.63.014307
DOI:
10.1103/PhysRevC.63.014307
PACS:
21.30.Fe, 05.30.-d, 21.60.Cs, 24.60.Lz