Symmetry Energy of Nucleonic Matter With Tensor Correlations

Abstract

The nuclear symmetry energy (E_sym(\roh)) is a vital ingredient of our understanding of many processes, from heavy-ion collisions to neutron stars structure. While the total nuclear symmetry energy at nuclear saturation density (ρ_0) is relatively well determined, its value at supranuclear densities is not. The latter can be better constrained by separately examining its kinetic and potential terms and their density dependencies. The kinetic term of the symmetry energy, E_sym^kin(ρ_0), equals the difference in the per-nucleon kinetic energy between pure neutron matter (PNM) and symmetric nuclear matter (SNM), often calculated using a simple Fermi gas model. However, experiments show that tensor force induced short-range correlations (SRC) between proton-neutron pairs shift nucleons to high-momentum in SNM, but have almost no effect in PNM. We present an approximate analytical expression for E_sym^kin(ρ) of correlated nucleonic matter. In our model, E_sym^kin(ρ_0) = -10 MeV, which differs significantly from +12.5 MeV for the widely-used free Fermi gas model. This result is consistent with our analysis of recent data on the free proton-to-neutron ratios measured in intermediate energy nucleus-nucleus collisions as well as with microscopic many-body calculations, and previous phenomenological extractions. We then use our calculated E_sym^kin(ρ) in combination with the known total symmetry energy and its density dependence at saturation density to constrain the value and density dependence of the potential part and to extrapolate the total symmetry energy to supranuclear densities.

Published in PRC. 6 pages, 5 figures. Final version: 06-Feb-15

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• Probing Cold Dense Nuclear Matter
• Momentum sharing in imbalanced Fermi systems
• Evidence for the Strong Dominance of Proton-Neutron Correlations in Nuclei
• Neutron and Proton Transverse Emission Ratio Measurements and the Density Dependence of the Asymmetry Term of the Nuclear Equation of State
• Recent observation of short range nucleon correlations in nuclei and their implications for the structure of nuclei and neutron stars
• Surface Symmetry Energy of Nuclear Energy Density Functionals
• Density-dependent nucleon-nucleon interaction from three-nucleon forces
• Tensor Correlations Measured in 3He(e,e'pp)n

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