Spin ordering of nuclear spectra from random interactions

Details Spin ordering of nuclear spectra from random interactions Spin ordering of nuclear spectra from random interactions

2001-03-27

arxiv.org/abs/nucl-th/0103069v1

Acta Phys.Polon. B32 (2001) 2491-2498

Physics

Nuclear Physics

Nuclear Theory

Contributed paper at "High Spin Physics 2001", see http://www.fuw.edu.pl/~hs2001/, to be published in Acta Physica Polonica B,

Scientific paper

Recent developments in many-body quantum chaos have raised the issue of correlations between different families of levels in the spectra of random fermionic systems. It seems that rotational invariance is sufficient to force an otherwise random system to have statistically ordered spectra where the ground state can have zero spin or the maximum spin allowed a huge portion of the time. We have tackled this question and have characterized the role of ``geometric chaoticity'' and pairing in random systems. We have shown how the geometry gives rise to such a distribution of ground state spins and examined the coexistence of these regularities with chaotic wave functions.

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