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

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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.

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Authors and Affiliations

  1. Institute for Nuclear Science and Technology, VINATOM, 179 Hoang Quoc Viet, Hanoi, Vietnam

    Dao T. Khoa, Le Hoang Chien, Do Cong Cuong & Nguyen Hoang Phuc

  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

    Le Hoang Chien

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Correspondence to Le Hoang Chien.

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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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Khoa, D.T., Chien, L.H., Cuong, D.C. et al. Mean-field description of heavy-ion scattering at low energies and fusion. NUCL SCI TECH 29, 183 (2018). https://doi.org/10.1007/s41365-018-0517-7

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