Limiting symmetry energy elements from empirical evidence

Abstract

In the framework of an equation of state (EoS) constructed from a momentum and density-dependent finite-range two-body effective interaction, the quantitative magnitudes of the different symmetry elements of infinite nuclear matter are explored. The parameters of this interaction are determined from well-accepted characteristic constants associated with homogeneous nuclear matter. The symmetry energy coefficient $a_2$, its density slope $L_0$, the symmetry incompressibility $K_{\delta }$ as well as the density dependent incompressibility $K(\rho )$ evaluated with this EoS are seen to be in good harmony with those obtained from other diverse perspectives. The higher order symmetry energy coefficients $a_4,a_6$ etc are seen to be not very significant in the domain of densities relevant to finite nuclei, but gradually build up at supra-normal densities. The analysis carried with a Skyrme-inspired energy density functional obtained with the same input values for the empirical bulk data associated with nuclear matter yields nearly the same results.

Accepted in "International journal of Modern Physics E"

References in corpus (16)

• Shapiro delay measurement of a two solar mass neutron star
• A Massive Pulsar in a Compact Relativistic Binary
• Theory of Core-Collapse Supernovae
• Neutron-Rich Nuclei in Heaven and Earth
• Relativistic Nuclear Energy Density Functionals: adjusting parameters to binding energies
• The Giant Dipole Resonance as a quantitative constraint on the symmetry energy
• Higher-order effects on the incompressibility of isospin asymmetric nuclear matter
• Density dependence of the nuclear symmetry energy: a microscopic perspective
• Symmetry energy of dilute warm nuclear matter
• Neutron-proton effective mass splitting in neutron-rich matter at normal density from analyzing nucleon-nucleus scattering data within an isospin dependent optical model
• The Neutron Star Crust: Nuclear Physics Input
• On the coefficients of the liquid drop model mass formulae and nuclear radii
• Breathing-mode measurements in Sn isotopes and isospin dependence of nuclear incompressibility
• Temperature dependence of the symmetry energy and neutron skins in Ni, Sn, and Pb isotopic chains
• Equation of state of nuclear matter from empirical constraints
• Volume and surface contributions to the nuclear symmetry energy within the coherent density fluctuation model

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• Relativistic self-energy decomposition of nuclear symmetry energy and equation of state of neutron matter within QCD sum rules
• High-order isospin-dependent surface tension contribution to the fourth-order symmetry energy of finite nuclei