Phys. Rev. Lett. 88, 072502 (2002) [4 pages]Spectroscopy with Random and Displaced Random EnsemblesReceived 8 June 2001; revised 26 July 2001; published 4 February 2002 Because of the time reversal invariance of the angular momentum operator J2, 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 behavior is reflected in the yrast states. Displaced (attractive) random ensembles lead to rotational spectra with strongly enhanced B(E2) transitions for a certain class of model spaces. It is explained how to generalize these results to other forms of collectivity. © 2002 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.88.072502
DOI:
10.1103/PhysRevLett.88.072502
PACS:
21.60.Cs, 05.30.Fk, 21.10.Ky, 24.10.Cn
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