Lorentz covariant nucleon self-energy decomposition of the nuclear symmetry energy

Abstract

Using the Hugenholtz-Van Hove theorem, we derive analytical expressions for the nuclear symmetry energy $E_{sym}(\rho )$ and its density slope $L(\rho )$ in terms of the Lorentz covariant nucleon self-energies in isospin asymmetric nuclear matter. These general expressions are useful for determining the density dependence of the symmetry energy and understanding the Lorentz structure and the microscopic origin of the nuclear symmetry energy in relativistic covariant formulism. As an example, we analyze the Lorentz covariant nucleon self-energy decomposition of $E_{sym}(\rho )$ and $L(\rho )$ and derive the corresponding analytical expressions within the nonlinear $\sigma$-$\omega$-$\rho$-$\delta$ relativistic mean field model.

6 pages, 2 figures. Typos fixed and discussions added. Accepted version to appear in PLB

References in corpus (12)

• Neutron Star Observations: Prognosis for Equation of State Constraints
• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• Neutron-Rich Nuclei in Heaven and Earth
• Nuclear symmetry energy probed by neutron skin thickness of nuclei
• Relativistic effective interaction for nuclei, giant resonances, and neutron stars
• Symmetry energy from elliptic flow in 197Au + 197Au
• Neutron skin thickness in droplet model with surface width dependence: indications of softness of the nuclear symmetry energy
• Nuclear symmetry energy and its density slope at normal density extracted from global nucleon optical potentials
• Symmetry energy of dilute warm nuclear matter
• Isospin-dependent properties of asymmetric nuclear matter in relativistic mean-field models
• Dirac-Brueckner-Hartree-Fock calculations for isospin asymmetric nuclear matter based on improved approximation schemes
• Nuclear matter symmetry energy and the symmetry energy coefficient in the mass formula

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• Probing isospin- and momentum-dependent nuclear effective interactions in neutron-rich matter
• Asymmetric nuclear matter in relativistic mean-field models with isoscalar- and isovector-meson mixing
• Nucleon self-energies for supernova equations of state
• Extracting the nuclear symmetry potential and energy from neutron-nucleus scattering data
• Extended Skyrme interactions for transport model simulations of heavy-ion collisions
• Correlations between the nuclear matter symmetry energy, its slope, and curvature from a nonrelativistic solvable approach and beyond
• Relationship between the symmetry energy and the single-nucleon potential in isospin-asymmetric nucleonic matter
• Equation of State of Neutron-Rich Matter in $d$-Dimensions
• Relativistic self-energy decomposition of nuclear symmetry energy and equation of state of neutron matter within QCD sum rules
• The nuclear symmetry energy from relativistic Brueckner-Hartree-Fock model
• The role of the in-medium four-quark condensates revised
• Neutron matter within QCD sum rules
• Nucleon Short-Range Correlations and High-Momentum Dynamics: Implications on the Equation of State of Dense Matter
• Novel features of asymmetric nuclear matter from terrestrial experiments and astrophysical observations of neutron stars
• Correlated structure of nuclear symmetry energy from covariant nucleon self-energy
• Three-dimensional equation of state extension of quark matter in Fermi-liquid theory
• Neutron Star Equation of State with Nucleon Short-Range Correlations: A Concise Review and Open Issues
• Effects of isoscalar- and isovector-scalar meson mixing on neutron star structure