Isospin dependence of nucleon Correlations in ground state nuclei

Abstract

The dispersive optical model (DOM) as presently implemented can investigate the isospin (nucleon asymmetry) dependence of the Hartree-Fock-like potential relevant for nucleons near the Fermi energy. Data constraints indicate that a Lane-type potential adequately describes its asymmetry dependence. Correlations beyond the mean-field can also be described in this framework, but this requires an extension that treats the non-locality of the Hartree-Fock-like potential properly. The DOM has therefore been extended to properly describe ground-state properties of nuclei as a function of nucleon asymmetry in addition to standard ingredients like elastic nucleon scattering data and level structure. Predictions of nucleon correlations at larger nucleon asymmetries can then be made after data at smaller asymmetries constrain the potentials that represent the nucleon self-energy. A simple extrapolation for Sn isotopes generates predictions for increasing correlations of minority protons with increasing neutron number. Such predictions can be investigated by performing experiments with exotic beams. The predicted neutron properties for the double closed-shell 132Sn nucleus exhibit similar correlations as those in 208Pb. Future relevance of these studies for understanding the properties of all nucleons, including those with high momentum, and the role of three-body forces in nuclei are briefly discussed. Such an implementation will require a proper treatment of the non-locality of the imaginary part of the potentials and a description of high-momentum nucleons as experimentally constrained by the (e,e'p) reactions performed at Jefferson Lab.

7 pages and 7 figures

References in corpus (6)

• Constraints on the symmetry energy and neutron skins from experiments and theory
• Symmetry Energy I: Semi-Infinite Matter
• Asymmetry dependence of proton correlations
• Nonlocal extension of the dispersive-optical-model to describe data below the Fermi energy
• Microscopic self-energy of ${}^{40}$Ca from the charge-dependent Bonn potential
• Transfer reactions and the dispersive optical-model

Cited by in corpus (8)

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• Forging the link between nuclear reactions and nuclear structure
• Isovector properties of the Gogny interaction
• Novel applications of the dispersive optical model
• Neutron-proton effective mass splitting in neutron-rich matter and its impacts on nuclear reactions
• Elastic nucleon-nucleus scattering as a direct probe of correlations beyond the independent-particle model
• Nucleon Effective E-Mass in Neutron-Rich Matter from the Migdal-Luttinger Jump
• Forging the Link between Nuclear Reactions and Nuclear Structure