Heavy-ion fusion and scattering with Skyrme energy density functional

Abstract

In our recent studies, an empirical barrier distribution was proposed for a unified description of the fusion cross sections of light and medium-heavy fusion systems, the capture cross sections of the reactions leading to superheavy nuclei, and the large-angle quasi-elastic scattering cross sections based on the Skyrme energy-density functional approach. In this paper, we first give a brief review of these results. Then, by examining the barrier distributions in detail, we find that the fusion cross sections depend more strongly on the shape of the left side of the barrier distribution while the quasi-elastic scattering cross sections depend more strongly on the right side. Furthermore, by combining these studies and the HIVAP calculations for the survival probability, the formation probability of the compound nucleus is deduced from the measured evaporation residue cross sections for "cold" and "hot" fusion reactions.energy-density functional, fusion, fission, scattering, superheavy nucleiIn our recently published papers [1−5] , we proposed an approach for a unified description of the fusion cross sections of light and medium-heavy fusion systems, the capture cross sections of the reactions leading to superheavy nuclei, and the largeangle quasi-elastic scattering cross sections based on the Skyrme energy-density functional approach. In this paper, we first give a brief review of this approach. Then, the influence of the shape of the barrier distribution on fusion cross sections and quasielastic scattering cross sections is studied carefully. Finally, we attempt to deduce the formation probability of compound nucleus from the measured evaporation residue cross sections of superheavy nuclei combining the proposed approach.It is known that theoretical support for the timeconsuming experiments to produce superheavy nuclei is vital in choosing the optimum targetprojectile-energy combinations, and for the estimation of cross sections of evaporation residues. In the practical calculation of the evaporation residue cross section, the reaction process leading to the synthesis of superheavy nuclei is divided into two or three steps [6−9] . The simplified version of the

Pre-neutron-emission mass distributions for reaction 238 U(n, f) up to 60 MeV

“…For reaction 238 U(n, f) at low incident energies (E n ≤ 6.5 MeV), the positions A 1 and A 2 are obtained from the nucleus-nucleus driving potential of the fissile nucleus 239 U [22,23]. With .…”

“…(3). Based on the nucleus-nucleus potential with the Skyrme energy-density functional [22,23], the driving potentials of these fissile Fig. 3.…”

Pre-neutron-emission Mass Distributions for Reaction 232 Th( n, f ) up to 60 MeV

“…(1) will be simplified as the three harmonic-oscillator functions [1]. The positions A 1 and A 2 are obtained from the nucleus-nucleus driving potential of the fissile nucleus 233 Th [1,15,16]. With increasing the incident neutron energy, the excitation energy of the compound nucleus will become higher, and a few neutrons will be evaporated before scission.…”

Recent progress in theoretical nuclear physics related to large-scale scientific facilities

“…By examining the barrier distributions in detail, it is found that the fusion cross sections depend more strongly on the shape of the left side of the barrier distribution while the quasi-elastic scattering cross sections depend more strongly on the right side [63]. Furthermore, by combining these studies and the HIVAP calculations for the survival probability, the formation probability of the compound nucleus is deduced from the measured evaporation residue cross sections for cold and hot fusion reactions.…”

“…The Cooling Storage Ring of Heavy Ion Research Facility in Lanzhou (HIRFL-CSR) [8][9][10] was completed in 2007, which aims at the exploration of physics with radioactive ion beams, including the structure of unstable nuclei, isospin dependence of nuclear matter, heavy-ion fusion reactions, superheavy nuclei synthesis, hadronic physics, physics of high-energy density matter, physics of highly charged ions, and applications. Recently direct mass measurements of short-lived A = 2Z −1 nuclides 63 Ge, 65 As, 67 Se, and 71 Kr were carried out at HIRFL-CSR and these results have a great impact on nucleosynthesis in the rp process [11][12][13][14]. Shanghai Synchrotron Radiation *Corresponding author (email: egzhao@mail.itp.ac.cn) Facility (SSRF) [15], which was finished and commissioned in April 2009, and Daya Bay nuclear power complex in China [16] also provides many opportunities for nuclear science.…”