Mean-field study of $^{12}$C+$^{12}$C fusion
Abstract
The nuclear mean-field potential arising from the C+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 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 C+C potential. The folded potentials at the different energies were used in the optical model description of the elastic C+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 factor of the C+C reactions at the low energies. The obtained results are in good agreement with experimental data over a wide range of energies.
Keywords
Cite
@article{arxiv.1603.04946,
title = {Mean-field study of $^{12}$C+$^{12}$C fusion},
author = {Le Hoang Chien and Do Cong Cuong and Dao T. Khoa},
journal= {arXiv preprint arXiv:1603.04946},
year = {2016}
}
Comments
Communications in Physics, Vol. 25, No. 3 (2015), pp. 265-274