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We study heavy-ion fusion reactions at energies near the Coulomb barrier, in particular with neutron-rich radioactive ion beams. Dynamic microscopic calculations are carried out on a three-dimensional lattice using the Density-Constrained…

Nuclear Theory · Physics 2015-06-11 V. E. Oberacker , A. S. Umar , R. Keser

Measurement of the energy dependence of the fusion cross-sec on at sub-barrier energies provides an important test for theoretical models of fusion. To extend the measurement of fusion cross-sections in the sub-barrier domain for the…

The density-constrained time-dependent Hartree-Fock (DC-TDHF) theory is a fully microscopic approach for calculating heavy-ion interaction potentials and fusion cross sections below and above the fusion barrier. We discuss recent…

Nuclear Theory · Physics 2017-08-23 A. S. Umar , V. E. Oberacker , J. A. Maruhn , R. Keser

In this manuscript we provide an outline of the numerical methods used in implementing the density constrained time-dependent Hartree-Fock (DC-TDHF) method and provide a few examples of its application to nuclear fusion. In this approach,…

Nuclear Theory · Physics 2015-02-16 V. E. Oberacker , A. S. Umar

The density-constrained time-dependent Hartree-Fock (DC-TDHF) theory is a fully microscopic approach for calculating heavy-ion interaction potentials and fusion cross sections below and above the fusion barrier. We discuss recent…

Nuclear Theory · Physics 2014-02-07 A. S. Umar , V. E. Oberacker , R. Keser , J. A. Maruh , P. -G. Reinhard

We present results for calculating fusion cross-sections using a new microscopic approach based on a time-dependent density-constrained DFT calculations. The theory is implemented by using densities and other information obtained from TDDFT…

Nuclear Theory · Physics 2014-03-25 R. Keser , A. S. Umar , V. E. Oberacker , J. A. Maruhn , P. -G. Reinhard

Background: Studies of low-energy fusion of light nuclei are important in astrophysical modeling, with small variations in reaction rates having a large impact on nucleosynthesis yields. Due to the lack of experimental data at astrophysical…

Nuclear Theory · Physics 2019-08-28 K. Godbey , C. Simenel , A. S. Umar

Fusion cross-sections are computed for the $^{40}$Ca$+^{40}$Ca system over a wide energy range with two microscopic approaches where the only phenomenological input is the Skyrme energy density functional. The first method is based on the…

Nuclear Theory · Physics 2015-06-19 C. Simenel , M. Dasgupta , D. J. Hinde , V. E. Oberacker , A. S. Umar , E. Williams

Fusion of very neutron rich nuclei may be important to determine the composition and heating of the crust of accreting neutron stars. Fusion cross sections are calculated using time-dependent Hartree-Fock theory coupled with…

Nuclear Theory · Physics 2012-05-08 A. S. Umar , V. E. Uberacker , C. J. Horowitz

We present a study of fusion cross sections using a new generation Time-Dependent Hartree-Fock (TDHF) code which contains no approximations regarding collision geometry and uses the full Skyrme interaction, including all of the time-odd…

Nuclear Theory · Physics 2009-11-11 A. S. Umar , V. E. Oberacker

Measurement of the fusion cross-section for neutron-rich light nuclei is crucial in ascertaining if fusion of these nuclei occurs in the outer crust of a neutron star. We have therefore measured the fusion excitation function at…

The 12C+12C sub-barrier fusion cross section is calculated within the framework of a Time Dependent Hartree-Fock (TDHF) based classical model using the Feynman Path Integral Method. The modified astrophysical S*-factor is compared to direct…

Nuclear Theory · Physics 2021-01-04 A. Bonasera , J. B. Natowitz

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…

Nuclear Theory · Physics 2016-05-03 P. -G. Reinhard , A. S. Umar , P. D. Stevenson , J. Piekarewicz , V. E. Oberacker , J. A. Maruhn

The Time-dependent Hartree-Fock (TDHF) theory is applied to the study of heavy ion collisions at energies around the Coulomb barrier. The competition between fusion and nucleon transfer mechanisms is investigated. For intermediate mass…

Nuclear Theory · Physics 2015-06-11 Cédric Simenel , A. Wakhle , Benoît Avez

In this work, we introduce a new method to reduce the microscopic mean-field theory to a classical macroscopic dynamics during the initial stage of fusion reactions. We show that TDHF (Time-dependent Hartree-Fock) could be a useful tool to…

Nuclear Theory · Physics 2007-05-23 Denis Lacroix

We discuss the implementation and results of a recently developed microscopic method for calculating ion-ion interaction potentials and fusion cross-sections. The method uses the TDHF evolution to obtain the instantaneous many-body…

Nuclear Theory · Physics 2015-03-20 A. S. Umar , V. E. Oberacker , J. A. Maruhn , P. -G. Reinhard\

The dependence of fusion dynamics on neutron excess for light nuclei is extracted. This is accomplished by comparing the average fusion cross-section at energies just above the fusion barrier for $^{12-15}$C + $^{12}$C with measurements of…

Nuclear Experiment · Physics 2020-07-23 R. T. deSouza , Varinderjit Singh , S. Hudan , Z. Lin , C. J. Horowitz

Experimental above-barrier fusion cross-sections for $^{17}$F + $^{12}$C are compared to the fusion excitation functions for $^{16,18}$O, $^{19}$F, and $^{20}$Ne ions on a carbon target. In comparing the different systems both the differing…

Nuclear Experiment · Physics 2021-06-16 Varinderjit Singh , J. Vadas , T. K. Steinbach , B. B. Wiggins , S. Hudan , R. T. deSouza

We provide a theoretical analysis of recently measured fusion cross sections which show a surprising enhancement at low $E_\mathrm{c.m.}$ energies for the system $^{132}$Sn+$^{40}$Ca as compared to the more neutron-rich system…

Nuclear Theory · Physics 2013-03-12 V. E. Oberacker , A. S. Umar

Measurement of the fusion cross-section for neutron-rich light nuclei is crucial in ascertaining if fusion of these nuclei occurs in the outer crust of a neutron star. The fusion excitation function at near-barrier energies for the $^{19}$O…

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