Dynamical properties of nuclear and stellar matter and the symmetry energy

Abstract

The effects of density dependence of the symmetry energy on the collective modes and dynamical instabilities of cold and warm nuclear and stellar matter are studied in the framework of relativistic mean-field hadron models. The existence of the collective isovector and possibly an isoscalar collective mode above saturation density is discussed. It is shown that soft equations of state do not allow for a high density isoscalar collective mode, however, if the symmetry energy is hard enough an isovector mode will not disappear at high densities. The crust-core transition density and pressure are obtained as a function of temperature for $\beta$-equilibrium matter with and without neutrino trapping. An estimation of the size of the clusters formed in the non-homogeneous phase as well as the corresponding growth rates and distillation effect is made. It is shown that cluster sizes increase with temperature, that the distillation effect close to the inner edge of the crust-core transition is very sensitive to the symmetry energy, and that, within a dynamical instability calculation, the pasta phase exists in warm compact stars up to 10 - 12 MeV.

16 pages, 10 figures. Submitted for publication in Phys. Rev. C

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Cited by in corpus (18)

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• The Vlasov formalism for extended relativistic mean field models: the crust-core transition and the stellar matter equation of state
• Warm pasta phase in the Thomas-Fermi approximation
• The neutron star inner crust and symmetry energy
• Imprint of the symmetry energy on the inner crust and strangeness content of neutron stars
• Probing isospin- and momentum-dependent nuclear effective interactions in neutron-rich matter
• Study of the core-crust transition in neutron stars with finite-range interactions: the dynamical method
• Hadron-quark phase transition in asymmetric matter with boson condensation
• Compact stars within an asy-soft quark-meson-coupling model
• Domains and defects in nuclear "pasta"
• Correlation of the neutron star crust-core properties with the slope of the symmetry energy and the lead skin thickness
• Phase transitions in Core-Collapse Supernova Matter at sub-saturation densities
• Effects of the U-boson on the inner edge of neutron star crusts
• Warm unstable asymmetric nuclear matter: critical properties and the density dependence of the symmetry energy
• Crust-core interface and bulk neutron star properties
• Crust-core transition of a neutron star: effect of the temperature under strong magnetic fields
• Stability of the neutron-proton-electron matter under strong magnetic fields: the covariant Vlasov approach