Spectroscopy with random and displaced random ensembles

Details Spectroscopy with random and displaced random ensembles Spectroscopy with random and displaced random ensembles

2001-06-08

arxiv.org/abs/nucl-th/0106020v2

Phys.Rev.Lett. 88 (2002) 072502

Physics

Nuclear Physics

Nuclear Theory

4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.88.072502

Due to the time reversal invariance of the angular momentum operator J^2, the average energies and variances at fixed J for random two-body Hamiltonians exhibit odd-even-J staggering, that may be especially strong for J=0. It is shown that upon ensemble averaging over random runs, this behaviour is reflected in the yrast states. Displaced (attractive) random ensembles lead to rotational spectra with strongly enhanced BE2 transitions for a certain class of model spaces. It is explained how to generalize these results to other forms of collectivity.

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