Analytical relations between nuclear symmetry energy and single-nucleon potentials in isospin asymmetric nuclear matter

Abstract

Using the Hugenholtz-Van Hove theorem, we derive general expressions for the quadratic and quartic symmetry energies in terms of single-nucleon potentials in isospin asymmetric nuclear matter. These analytical relations are useful for gaining deeper insights into the microscopic origins of the uncertainties in our knowledge on nuclear symmetry energies especially at supra-saturation densities. As examples, the formalism is applied to two model single-nucleon potentials that are widely used in transport model simulations of heavy-ion reactions.

23 pages with 6 figures

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Cited by in corpus (28)

• Constraining the neutron-proton effective mass splitting using empirical constraints on the density dependence of nuclear symmetry energy around normal density
• Towards Understanding Astrophysical Effects of Nuclear Symmetry Energy
• Nucleon Effective Masses in Neutron-Rich Matter
• Nuclear matter fourth-order symmetry energy in the relativistic mean field models
• Neutron-proton effective mass splitting in neutron-rich matter at normal density from analyzing nucleon-nucleus scattering data within an isospin dependent optical model
• Higher-order symmetry energy and neutron star core-crust transition with Gogny forces
• Single-nucleon potential decomposition of the nuclear symmetry energy
• Isospin splitting of nucleon effective mass from giant resonances in ${}^{208}$Pb
• Probing isospin- and momentum-dependent nuclear effective interactions in neutron-rich matter
• Probing nuclear symmetry energy at high densities using pion, kaon, eta and photon productions in heavy-ion collisions
• Extracting the nuclear symmetry potential and energy from neutron-nucleus scattering data
• Revisit of the neutron/proton ratio puzzle in intermediate-energy heavy-ion collisions
• Lorentz covariant nucleon self-energy decomposition of the nuclear symmetry energy
• Neutron-proton effective mass splitting in neutron-rich matter and its impacts on nuclear reactions
• Neutron-proton effective mass splitting in neutron-rich matter
• Imprints of Nuclear Symmetry Energy on Properties of Neutron Stars
• Probing Nuclear Symmetry Energy and its Imprints on Properties of Nuclei, Nuclear Reactions, Neutron Stars and Gravitational Waves
• Relationship between the symmetry energy and the single-nucleon potential in isospin-asymmetric nucleonic matter
• Quantifying Correlations Between Isovector Observables and the Density Dependence of Nuclear Symmetry Energy away from Saturation Density
• Isospin dependent global neutron-nucleus optical model potential
• Isospin dependence of nucleon effective masses in neutron-rich matter
• Anomalous quartic term in the expansion of the symmetry energy
• Equation of State of Neutron-Rich Matter in $d$-Dimensions
• Neutron matter within QCD sum rules
• Correlated structure of nuclear symmetry energy from covariant nucleon self-energy
• Origins and Impacts of High-Density Symmetry Energy
• Neutron Star Equation of State with Nucleon Short-Range Correlations: A Concise Review and Open Issues
• Basic quantities of the Equation of State in isospin asymmetric nuclear matter