Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2000-03-24
Phys.Lett. B483 (2000) 331-336
Physics
Nuclear Physics
Nuclear Theory
10 pages, no figures
Scientific paper
10.1016/S0370-2693(00)00585-2
We use random-matrix theory and supersymmetry techniques to work out the two-point correlation function between states in a hierarchical model which employs Feshbach's chaining hypothesis: Classes of many-body states are introduced. Only states within the same or neighboring classes are coupled. We assume that the density of states per class grows monotonically with class index. The problem is mapped onto a one-dimensional non-linear sigma model. In the limit of a large number of states in each class we derive the critical exponent for the growth of the level density with class index for which delocalization sets in. From a realistic modelling of the class-dependence of the level density, we conclude that the model does not predict Fock-space localization in nuclei.
Richert Jean
Rupp Thomas
Weidenmueller Hans A.
No associations
LandOfFree
Does localization occur in a hierarchical random-matrix model for many-body states? does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Does localization occur in a hierarchical random-matrix model for many-body states?, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Does localization occur in a hierarchical random-matrix model for many-body states? will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-370568