Sensitivity of the fusion cross section to the density dependence of the symmetry energy

Abstract

It is the aim of this paper to discuss the impact of nuclear fusion on the EOS. This is a timely subject given the expected availability of increasingly exotic beams at rare isotope facilities\,\cite{balantekin2014}. In practice, we focus on ${}^{48}$Ca+${}^{48}$Ca fusion. We employ three different approaches to calculate fusion cross-sections for a set of energy density functionals with systematically varying nuclear matter properties. Fusion calculations are performed using frozen densities, using a dynamic microscopic method based on density-constrained time-dependent Hartree-Fock (DC-TDHF) approach, as well as direct TDHF study of above barrier cross-sections. For these studies, we employ a family of Skyrme parametrizations with systematically varied nuclear matter properties. We find a slight preference for forces which deliver a slope of symmetry energy of $L\approx 50$\,MeV that corresponds to a neutron-skin thickness of ${}^{48}$Ca of $R_{\mathrm{skin}}=(0.180-0.210)$\,fm.

arXiv comment15 pages, 10 figures

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Cited by in corpus (14)

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• Time-dependent mean field determination of the excitation energy in transfer reactions: application to the reaction ${}^{238}$U on ${}^{12}$C at 6.14 MeV/A
• Role of the Surface Energy in Heavy-Ion Collisions
• Experimental nuclear charge density and theoretical description of the above-barrier light heavy-ion fusion process