Global Properties of fp-Shell Interactions in Many-nucleon Systems

Abstract

Spectral distribution theory, which can be used to compare microscopic interactions over a broad range of nuclei, is applied in an analysis of two modern effective interactions based on the realistic CD-Bonn potential for $0\hslash \Omega$ no-core shell model calculations in the fp shell, as well as in a comparison of these with the realistic shell-model GXPF1 interaction. In particular, we explore the ability of these interaction to account for the development of isovector pairing correlations and collective rotational motion in the fp shell. Our findings expose the similarities of these two-body interactions, especially as this relates to their pairing and rotational characteristics. Further, the GXPF1 interaction is used to determine the strength parameter of a quadrupole term that can be used to augment an isovector-pairing model interaction with Sp(4) dynamical symmetry, which in turn is shown to yield reasonable agreement with the low-lying energy spectra of ${}^{58}$Ni and ${}^{58}$Cu.

21 pages, 3 figures, accepted in Nuclear Physics A

References in corpus (15)

• The high-precision, charge-dependent Bonn nucleon-nucleon potential (CD-Bonn)
• Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
• The Shell Model as Unified View of Nuclear Structure
• Magic numbers in exotic nuclei and spin-isospin properties of {\it NN} interaction
• New effective interaction for $pf$-shell nuclei and its implications for the stability of the $N$=$Z$=28 closed core
• The realistic collective nuclear Hamiltonian
• Half Life of the Doubly-magic r-Process Nucleus 78Ni
• Pairing and Isospin Symmetry in Proton-Rich Nuclei
• Statistical Theory of Parity Nonconservation in Compound Nuclei
• Chaos and localization in the wavefunctions of complex atoms NdI, PmI and SmI
• Staggering behavior of 0^+ state energies in the Sp(4) pairing model
• Underlying symmetries of realistic interactions and the nuclear many-body problem
• Dynamical symmetry of isobaric analog 0+ states in medium mass nuclei
• Regularities with random interactions in energy centroids defined by group symmetries
• Energy Centroids in the presence of random interactions

Cited by in corpus (8)

• Symmetry-guided large-scale shell-model theory
• From bound states to the continuum
• Emergent symplectic symmetry in atomic nuclei: Ab initio symmetry-adapted no-core shell model
• Program in C for studying characteristic properties of two-body interactions in the framework of spectral distribution theory
• Operator evolution from the similarity renormalization group and the Magnus expansion
• Exact isovector pairing in a shell-model framework: Role of proton-neutron correlations in isobaric analog states
• No-core shell model for 48-Ca, 48-Sc and 48-Ti
• No-core shell model for A = 47 and A = 49