Underlying symmetries of realistic interactions and the nuclear many-body problem

Abstract

The present study brings forward important information, within the framework of spectral distribution theory, about the types of forces that dominate three realistic interactions, CD-Bonn, CDBonn+ 3terms and GXPF1, in nuclei and their ability to account for many-particle effects such as the formation of correlated nucleon pairs and enhanced quadrupole collective modes. Like-particle and proton-neutron isovector pairing correlations are described microscopically by a model interaction with Sp(4) dynamical symmetry, which is extended to include an additional quadrupole-quadrupole interaction. The analysis of the results for the 1f7/2 level shows that both CD-Bonn+3terms and GXPF1 exhibit a well-developed pairing character compared to CD-Bonn, while the latter appears to build up more (less) rotational isovector T = 1 (isoscalar T = 0) collective features. Furthermore, the three realistic interactions are in general found to correlate strongly with the pairing+quadrupole model interaction, especially for the highest possible isospin group of states where the model interaction can be used to provide a reasonable description of the corresponding energy spectra.

arXiv comment12 pages, 4 figures

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• The high-precision, charge-dependent Bonn nucleon-nucleon potential (CD-Bonn)
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• Shell Model Study of the Neutron-Rich Nuclei around N=28
• Half Life of the Doubly-magic r-Process Nucleus 78Ni
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• Statistical Theory of Parity Nonconservation in Compound Nuclei
• An Algebraic Pairing Model with Sp(4) Symmetry and its Deformation
• Staggering behavior of 0^+ state energies in the Sp(4) pairing model
• Dynamical symmetry of isobaric analog 0+ states in medium mass nuclei
• Regularities with random interactions in energy centroids defined by group symmetries
• Isospin symmetry breaking in an algebraic pairing Sp(4) model

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• Program in C for studying characteristic properties of two-body interactions in the framework of spectral distribution theory
• 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
• Statistical Nuclear Spectroscopy with $q$-normal and bivariate $q$-normal distributions and $q$-Hermite polynomials
• No-core shell model for A = 47 and A = 49