Eur. Phys. J. A (2017) 53: 1
https://doi.org/10.1140/epja/i2017-12193-9

Regular Article - Theoretical Physics

Quantitative analysis of the fusion cross sections using different microscopic nucleus-nucleus interactions

¹ Physics Department, Faculty of Science, Cairo University, Giza, Egypt
² Physics Department, College of Science, Majmaah University, Al-Zulfi, Saudi Arabia

^* e-mail: ahmedadel@sci.cu.edu.eg

Received: 30 September 2016
Accepted: 13 December 2016
Published online: 12 January 2017

Abstract

The fusion cross sections for reactions involving medium and heavy nucleus-nucleus systems are investigated near and above the Coulomb barrier using the one-dimensional barrier penetration model. The microscopic nuclear interaction potential is computed by four methods, namely: the double-folding model based on a realistic density-dependent M3Y NN interaction with a finite-range exchange part, the Skyrme energy density functional in the semiclassical extended Thomas-Fermi approximation, the generalized Proximity potential, and the Akyüz-Winther interaction. The comparison between the calculated and the measured values of the fusion excitation functions indicates that the calculations of the DFM give quite satisfactory agreement with the experimental data, being much better than the other methods. New parameterized forms for the fusion barrier heights and positions are presented. Furthermore, the effects of deformation and orientation degrees of freedom on the distribution of the Coulomb barrier characteristics as well as the fusion cross sections are studied for the reactions ¹⁶ O + ⁷⁰ Ge and ²⁸ Si + ¹⁰⁰ Mo. The calculated values of the total fusion cross sections are compared with coupled channel calculations using the code CCFULL and compared with the experimental data. Our results reveal that the inclusion of deformations and orientation degrees of freedom improves the comparison with the experimental data.