A phenomenological equation of state for isospin asymmetric nuclear matter

Abstract

A phenomenological momentum-independent (MID) model is constructed to describe the equation of state (EOS) for isospin asymmetric nuclear matter, especially the density dependence of the nuclear symmetry energy $E_{\text{sym}}(\rho )$. This model can reasonably describe the general properties of the EOS for symmetric nuclear matter and the symmetry energy predicted by both the sophisticated isospin and momentum dependent MDI model and the Skyrme-Hartree-Fock approach. We find that there exists a nicely linear correlation between $K_{\mathrm{sym}}$ and $L$ as well as between $J_0/K_0$ and $K_0$, where $L$ and $K_{\mathrm{sym}}$ represent, respectively, the slope and curvature parameters of the symmetry energy at the normal nuclear density ${\rho }_0$ while $K_0$ and $J_0$ are, respectively, the incompressibility and the third-order derivative parameter of symmetric nuclear matter at ${\rho }_0$. These correlations together with the empirical constraints on $K_0$, $L$ and $E_{\text{sym}}({\rho }_0)$ lead to an estimation of -477 MeV $\le K_{\mathrm{sat},2}\le -241$ MeV for the second-order isospin asymmetry expansion coefficient for the incompressibility of asymmetric nuclear matter at the saturation point.

arXiv comment9 pages, 4 figures, contribution to Special Topic on Large-Scale Scientific Facilities (LSSF) in Science in China Series G: Physics, Mechanics & Astronomy

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Cited by in corpus (10)

• Higher-order effects on the incompressibility of isospin asymmetric nuclear matter
• Nuclear matter symmetry energy and the symmetry energy coefficient in the mass formula
• Higher order bulk characteristic parameters of asymmetric nuclear matter
• Symmetry energy systematics and its high density behavior
• Investigation of constraints on few-neutron forces in neutron matter by empirical information on the neutron skin of 48Ca and 208Pb
• Neutron star structure in an in-medium modified chiral soliton model
• Baryonic matter and the medium modification of the baryon masses
• Modification of hyperon masses in nuclear matter
• Nuclear equation of state and incompressibility in a model with correlations from giant monopole vibrations
• Incompressibility of asymmetric nuclear matter