Large scale shell model calculations along Z=28 and N=50 closures: towards the doubly-magic 78Ni

Abstract

We present the state-of-the art shell model calculations in a large model space (pf for protons, fpgd for neutrons), which allow to study simultaneously excitations across the Z=28 and N=50 shell gaps. We explore the region in the vicinity of 78Ni, being a subject of intense experimental investigations. Our calculations account correctly for the known low lying excited states in this region, including those which may correspond to cross-shell excitations. We observe the minimum of the N=50 mass gap at Z=32 consistent with experimental data and its further increase towards Z=28, indicating a robustness of the N=50 gap in 78Ni. The evolution of N=50 gap along the nickel chain is shown to bear similarities with what is know in oxygen and calcium chains, providing a new opportunity for the studies of 3-body monopole effects in medium mass nuclei.

5 pages, 5 fugures

References in corpus (5)

• Collapse of the N=28 shell closure in ${}^{42}$Si
• Evolution of the N=50 shell gap energy towards ${}^{78}$Ni
• Mass measurements beyond the major r-process waiting point 80Zn
• Low Energy States of ${}_{31}^{81}G{a}_{50}$ : Elements on the Doubly-Magic Nature of ${}^{78}$Ni
• Evolution of the N=50 gap from Z=30 to Z=38 and extrapolation towards 78Ni

Cited by in corpus (16)

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• Shape Coexistence in 78 Ni and the new Island of Inversion
• The Neutron-Rich Edge of the Nuclear Landscape. Experiment and Theory
• Isomer shift and magnetic moment of the long-lived 1/2${}^{+}$ isomer in ${}_{30}^{79}$Zn${}_{49}$: signature of shape coexistence near ${}^{78}$Ni
• Evolution of the N=28 shell closure: a test bench for nuclear forces
• Dipole and quadrupole moments of ${}^{73-78}$Cu as a test of the robustness of the $Z=28$ shell closure near ${}^{78}$Ni
• Importance-Truncated Large-Scale Shell Model
• Suddenly shortened half-lives beyond ${}^{78}$Ni: $N=50$ magic number and high-energy non-unique first-forbidden transitions
• Single-particle and collective excitations in ${}^{62}$Ni
• The role of the g9/2 orbital in the development of collectivity in the A = 60 region: The case of 61Co
• Shell Evolutions and Nuclear Forces
• Improving the predictive power of empirical shell-model Hamiltonians
• Persistence of magicity in neutron rich exotic ${}^{78}$Ni in ground as well as excited states
• High-spin structures of ${}^{77,79,81,83}$As isotopes