Phys.Rev. C 92, 034313 (2015)

T.Duguet, H.Hergert, J.D.Holt, V.Soma

Nonobservable nature of the nuclear shell structure: Meaning, illustrations, and consequences

NUCLEAR STRUCTURE ^{40,42,44,46,48,50,52,54,56,58,60}Ca; calculated effective single-particle energies (ESPEs), energies of first 2+ states using Shell model. ^22,24O; calculated Fermi gap in the ESPE spectrum and the first 2+ excitation energy using microscopic shell model based on realistic 2N and 3N interactions. ⁷⁴Ni; calculated spectral strength distribution for one-neutron addition and removal processes, ESPEs using self-consistent Gorkov Green's function with a realistic 2N chiral interaction. ^{14,16,18,20,22,24}O; calculated binding energies, S(n) with dominant spectroscopic factors versus neutron ESPEs, residual spreads of separation energies and ESPEs, two-nucleon shell gap versus ESPE Fermi gap, spectroscopic factors associated with one neutron addition and removal process on the ground states. State-of-the-art multireference in-medium SRG and self-consistent Gorkov Green's function many-body calculations based on chiral two- and three-nucleon interactions to illustrate nonobservable aspects of the one-nucleon shell structure.

doi: 10.1103/PhysRevC.92.034313