tailieunhanh - Mean field study of F 12C+12 fusion

The folded potentials at the different energies were used in the optical model description of the elastic 12C+12C scattering at the energies around and below the Coulomb barrier, as well as in the barrier penetration model to estimate the fusion cross section and astrophysical S factor of the 12C+12C reactions at the low energies. The obtained results are in good agreement with experimental data over a wide range of energies. | Communications in Physics, Vol. 25, No. 3 (2015), pp. 265-274 DOI: MEAN-FIELD STUDY OF 12 C+12 C FUSION LE HOANG CHIEN Department of Nuclear Physics and Nuclear Engineering, Faculty of Physics and Engineering Physics, University of Science, VNU-HCM, Ho Chi Minh City, Vietnam DO CONG CUONG AND DAO TIEN KHOA Institute for Nuclear Science and Technology, VINATOM, Hanoi, Vietnam Received 29 August 2015 Accepted for publication 30 September 2015 E-mail: lhchien@ Abstract. The nuclear mean-field potential arising from the 12 C+12 C interaction at the low energies relevant for the astrophysical carbon burning process has been constructed within the double-folding model, using the realistic nuclear ground-state density of the 12 C nucleus and the effective M3Y nucleon-nucleon (NN) interaction constructed from the G-matrix of the Paris (free) NN potential. To explore the nuclear medium effect, both the original density independent M3Y-Paris interaction and its density dependent CDM3Y6 version have been used in the folding model calculation of the 12 C+12 C potential. The folded potentials at the different energies were used in the optical model description of the elastic 12 C+12 C scattering at the energies around and below the Coulomb barrier, as well as in the barrier penetration model to estimate the fusion cross section and astrophysical S factor of the 12 C+12 C reactions at the low energies. The obtained results are in good agreement with experimental data over a wide range of energies. Keywords: Nuclear mean-field, 12 C+12 C fusion, astrophysical S factor. I. INTRODUCTION The 12 C+12 C fusion plays an important role in the whole chain of nucleosynthesis processes during stellar evolution, as the main nuclear reaction governing the carbon burning process in the young massive stars that generates the heavier elements or the pycnonuclear reaction that leads a carbon-oxygen white dwarf to the type Ia supernova explosion [1–3]. A