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arXiv · 1603.01319

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

P. -G. Reinhard·A. S. Umar·P. D. Stevenson·J. Piekarewicz·V. E. Oberacker·J. A. Maruhn
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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.

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P. -G. Reinhard, A. S. Umar, P. D. Stevenson, J. Piekarewicz, V. E. Oberacker, J. A. Maruhn. 2016-03-04. Sensitivity of the fusion cross section to the density dependence of the symmetry energy. https://doi.org/10.1103/physrevc.93.044618

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