The effect of isospin symmetry breaking on level statistics has been examined with the nuclear shell model. The eigenvalues and electromagnetic transitions were calculated with the program OXBASH for the nuclide 26Al for conserved isospin and for broken isospin. The long-range correlations of the eigenvalues, as measured by ∆3, show good agreement between the experimental results and the calcul...

The last decade has witnessed both quantitative and qualitative progress in shell-model studies, which have resulted in remarkable gains in our understanding of the structure of the nucleus. Indeed, it is now possible to diagonalize matrices in determinantal spaces of dimensionality up to 109 using the Lanczos tridiagonal construction, whose formal and numerical aspects are analyzed in this rev...

The shell model within the 2s1d0g7/20h11/2 shell is applied to calculate nuclear structure properties of the even Z = 52 − 62, N = 82 isotones. The results are compared with experimental data and with the results of a quasiparticle random-phase approximation (QRPA) calculation. The interaction used in these calculations is a realistic two-body G-matrix interaction derived from modern meson-exch...

Total and parity-projected level densities of iron-region nuclei are calculated microscopically by using Monte Carlo methods for the nuclear shell model in the complete (pf + 0g9/2)-shell. The calculated total level density is found to be in good agreement with the experimental level density. The Monte Carlo calculations offer a significant improvement over the thermal Hartree-Fock approximatio...

We introduce a shell-model theory that combines traditional spherical states, which yield a diagonal representation of the usual single-particle interaction, with collective configurations that track deformations, and test the validity of this mixed-mode, oblique-basis shell-model scheme on Mg. The correct binding energy ~within 2% of the full-space result! as well as low-energy configurations ...

Chaos vs Thermalization in the Nuclear Shell Model Mihai Horoi, ' Vladimir Zelevinsky, ' and B. Alex Brown' 'National Superconducting Cyclotron Laboratory, Michigan State University, East Lansing, Michigan 48824-1321 2Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824 11I6'Institute of Atomic Physics, Bucharest, Romania 4Budker Institute of Nuclear Phys...

We obtain properties of 12C in the ab initio no-core nuclear shell model. The effective Hamiltonians are derived microscopically from the realistic CD Bonn and the Argonne V8' nucleon-nucleon (NN) potentials as a function of the finite harmonic oscillator basis space. Binding energies, excitation spectra, and electromagnetic properties are presented for model spaces up to 5Planck's over 2piOmeg...

The one-dimensional harmonic oscillator in a box problem is used to introduce the concept of a mixed-mode shell-model scheme. The method combines low-lying “pure mode” states of a system to achieve a better description in situations where complete calculations cannot be done and the dynamics is driven by a combination of modes. The scheme is tested for real nuclei by combining traditional spher...