The Analysis of the Fusion Reaction of Two Colliding Nuclei Using the FCC Lattice Model

• Published in: Chinese physics letters Vol. 30; no. 10; pp. 102502 - 1-102502-5
• Main Authors: Golshanian, M., Ghodsi, O. N., Gharaei, R., Zanganeh, V.
• Format: Journal Article
• Language: English
• Published: 01.10.2013
• Subjects: Channels; Cross sections (physics); Face centered cubic lattice; Lattices; Mathematical models; Nuclear fusion; Nuclei; Projectiles
• ISSN: 0256-307X; 1741-3540
• DOI: 10.1088/0256-307X/30/10/102502

The complete fusion channel of two approaching nuclei, including the interaction potential and fusion cross section, is systematically analyzed using the face-center-cubic (FCC) approach. For this purpose, we assume that the initial distribution of the nucleons in target and projectile nuclei is formed based on the FCC lattice model. Moreover, the density-dependent nucleon-nucleon interaction (CDM3Y6) is employed to parameterize the nuclear interactions between the participant nuclei. The obtained results for 45 fusion reactions reveal that the FCC+CDM3Y6 model is able to reproduce the corresponding experimental data of the barrier heights and positions within + or -10%, on average. The analytical calculations of the fusion cross section are performed by employing the coupled-channel approach which includes couplings to the low-lying2 super(+) and 3 super(-) states in target and projectile nuclei. It is shown that the theoretical values of the fusion excitation functions based on the selected microscopic framework are consistent with the experimental data.