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Sensitivity Of The Fusion Cross Section To The Density Dependence Of The Symmetry Energy

Title: Sensitivity Of The Fusion Cross Section To The Density Dependence Of The Symmetry Energy.
Name(s): Reinhard, P.-G., author
Umar, A. S., author
Stevenson, P. D., author
Piekarewicz, J., author
Oberacker, V. E., author
Maruhn, J. A., author
Type of Resource: text
Genre: Text
Date Issued: 2016-04-28
Physical Form: computer
online resource
Extent: 1 online resource
Language(s): English
Abstract/Description: Background: The study of the nuclear equation of state (EOS) and the behavior of nuclear matter under extreme conditions is crucial to our understanding of many nuclear and astrophysical phenomena. Nuclear reactions serve as one of the means for studying the EOS. Purpose: 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 [A. B. Balantekin et al., Mod. Phys. Lett. A 29, 1430010 (2014)]. In practice, we focus on Ca-48+Ca-48 fusion. Method: 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. Results: The folding-potential model provides a reasonable first estimate of cross sections. DC-TDHF, which includes dynamical polarization, reduces the fusion barriers and delivers much better cross sections. Full TDHF near the barrier agrees nicely with DC-TDHF. Most of the Skyrme forces which we used deliver, on the average, fusion cross sections in good agreement with the data. Trying to read off a trend in the results, we find a slight preference for forces which deliver a slope of symmetry energy of L approximate to 50 MeV that corresponds to a neutron-skin thickness of Ca-48 of R-skin = (0.180-0.210) fm. Conclusions: Fusion reactions in the barrier and sub-barrier region can be a tool to study the EOS and the neutron skin of nuclei. The success of the approach will depend on reduced experimental uncertainties of fusion data as well as the development of fusion theories that closely couple to the microscopic structure and dynamics.
Identifier: FSU_libsubv1_wos_000374956300001 (IID), 10.1103/PhysRevC.93.044618 (DOI)
Keywords: equation, excitation, forces, giant-resonances, hartree-fock calculations, mean-field models, neutron-star, nuclei, Scattering, state charge radii
Publication Note: The publisher's version of record is available at
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Host Institution: FSU
Is Part Of: Physical Review C.
Issue: iss. 4, vol. 93

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Reinhard, P. -G., Umar, A. S., Stevenson, P. D., Piekarewicz, J., Oberacker, V. E., & Maruhn, J. A. (2016). Sensitivity Of The Fusion Cross Section To The Density Dependence Of The Symmetry Energy. Physical Review C. Retrieved from