Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Two-body random ensemble in nuclei

Journal Article · · Physical Review. C, Nuclear Physics
 [1];  [2]
  1. Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996 (United States)
  2. Max-Planck Institut fuer Kernphysik, D-69029 Heidelberg (Germany)
Combining analytical and numerical methods, we investigate properties of the two-body random ensemble (TBRE). We compare the TBRE with the Gaussian orthogonal ensemble of random matrices. Using the geometric properties of the nuclear shell model, we discuss the information content of nuclear spectra and gain insight in the difficulties encountered when fitting the effective interaction. We exhibit the existence of correlations between spectral widths pertaining to different quantum numbers. Using these results, we deduce the preponderance of zero-spin ground states in the TBRE. We demonstrate the existence of correlations between spectra with different quantum numbers and/or in different nuclei.
OSTI ID:
20771189
Journal Information:
Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 1 Vol. 73; ISSN 0556-2813; ISSN PRVCAN
Country of Publication:
United States
Language:
English

Similar Records

Crossover ensembles of random matrices and skew-orthogonal polynomials
Journal Article · Mon Aug 15 00:00:00 EDT 2011 · Annals of Physics (New York) · OSTI ID:21583318

One plus two-body random matrix ensembles with parity: Density of states and parity ratios
Journal Article · Wed Jun 15 00:00:00 EDT 2011 · Physical Review. C, Nuclear Physics · OSTI ID:21502761

Statistical properties of many-particle spectra. III. Ergodic behavior in random-matrix ensembles
Journal Article · Tue May 01 00:00:00 EDT 1979 · Ann. Phys. (N.Y.); (United States) · OSTI ID:6045308