# Nuclear Science and Techniques

《核技术》(英文版) ISSN 1001-8042 CN 31-1559/TL     2019 Impact factor 1.556

Nuclear Science and Techniques ›› 2018, Vol. 29 ›› Issue (12): 183

• Special Section on International Workshop on Nuclear Dynamics in Heavy-Ion Reaction (IWND2018) •

### Mean-field description of heavy-ion scattering at low energies and fusion

Dao T. Khoa 1 • Le Hoang Chien 1,2 • Do Cong Cuong 1 • Nguyen Hoang Phuc 1

1. 1 Institute for Nuclear Science and Technology, VINATOM, 179 Hoang Quoc Viet, Hanoi, Vietnam
2 Department of Nuclear Physics and Nuclear Engineering, Faculty of Physics and Engineering Physics, University of Science, VNU-HCM, 227 Nguyen Van Cu Street, District 5, Ho Chi Minh City, Vietnam
• Received:2018-09-11 Revised:2018-10-18 Accepted:2018-10-31
• Contact: Le Hoang Chien E-mail:lhchien@hcmus.edu.vn; chienlhphys@gmail.com
• Supported by:

The present research has been supported, in part, by the National Foundation for Scientific and Technological Development (NAFOSTED Project No. 103.04-2017.317)

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Dao T. Khoa, Le Hoang Chien, Do Cong Cuong, Nguyen Hoang Phuc. Mean-field description of heavy-ion scattering at low energies and fusion.Nuclear Science and Techniques, 2018, 29(12): 183
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Abstract:

The nuclear mean-field potential built up during the {}^{12}\hbox {C}+{}^{12}\hbox {C} and {}^{16}\hbox {O}+{}^{16}\hbox {O} collisions at low energies relevant for the carbon- and oxygen-burning processes is constructed within the double-folding model (DFM) using the realistic ground-state densities of ^{12}\hbox {C} and ^{16}O, and CDM3Yn density-dependent nucleon–nucleon (NN) interaction. The rearrangement term, indicated by the Hugenholtz–van Hove theorem for the single-particle energy in nuclear matter, is properly considered in the DFM calculation. To validate the use of the density-dependent NN interaction at low energies, an adiabatic approximation was suggested for the dinuclear overlap density. The reliability of the nucleus–nucleus potential predicted through this low-energy version of the DFM was tested in the optical model (OM) analysis of the elastic {}^{12}\hbox {C}+{}^{12}\hbox {C} and {}^{16}\hbox {O}+{}^{16}\hbox {O} scattering data at energies below 10 MeV/nucleon. These OM results provide a consistently good description of the elastic angular distributions and 90 ^\circ excitation function. The dinuclear mean-field potential predicted by the DFM is further used to determine the astrophysical S factor of the {}^{12}\hbox {C}+{}^{12}\hbox {C} and {}^{16}\hbox {O}+{}^{16}\hbox {O} fusions in the barrier penetration model. Without any adjustment of the potential strength, our results reproduce the non-resonant behavior of the S factor of the {}^{12}\hbox {C}+{}^{12}\hbox {C} and {}^{16}\hbox {O}+{}^{16}\hbox {O} fusions very well over a wide range of energies.

Key words: Folding model, Elastic scattering, Fusion