Nuclear skin and the curvature of the symmetry energy

Abstract

The effect of correlations between the slope and the curvature of the symmetry energy on ground state nuclear observables is studied within the extended Thomas-Fermi approximation. We consider different isovector probes of the symmetry energy, with a special focus on the skin of ${}^{208}\mathrm{Pb}$. We use a recently proposed meta-modelling technique to generate a large number of equation of state models, where the empirical parameters are independently varied. The results are compared to a set of calculations using 17 different Skyrme interactions. We show that the curvature parameter plays a non-negligible role on the neutron skin, while the effect is reduced in Skyrme functionals because of the correlation with the slope parameter.

10 pages, 6 figures

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Cited by in corpus (8)

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• Correlations among symmetry energy elements in Skyrme models
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• Supernova Neutrinos as a Precise Probe of Nuclear Neutron Skin
• Parametrization of the surface energy in the ETF approximation
• Ensembles of unified crust and core equations of state in a nuclear-multimessenger astrophysics environment
• On the Cooling of Compact Stars in Light of the HESS J1731-347 Remnant