The onset of octupole deformation and its impact on related spectroscopic properties is studied in even-even neutron-rich lanthanide isotopes Xe, Ba, Ce, Nd with neutron number $86\leqslant N\leqslant 94$. Microscopic input comes from the Hartree-Fock-Bogoliubov approximation constrains axially symmetric quadrupole operators using Gogny-D1M interaction. At mean-field level, reflection asymmetri...

Applications of configuration-mixing methods for nuclei near the proton and neutron drip lines are discussed. A short review magic numbers is presented. Prospects advances in regions four new “outposts” highlighted: 28O, 42Si, 60Ca 78Ni. Topics include shell gaps, single-particle properties, islands inversion, collectivity, decay, halos, two-proton effective charge, quenching knockout reactions.

We show and interpret three examples of nontrivial results obtained in numerical simulations of many-body systems: exponential convergence of low-lying energy eigenvalues in the process of progressive truncation of huge shell-model matrices, apparently ordered spectra generated by random interactions, and regular behavior of complex many-body energies in a system with single-particle orbitals i...

Article history: Received 20 June 2016 Received in revised form 3 December 2016 Accepted 5 December 2016 Available online 13 December 2016 Editor: M. Doser