Study of the effects of orientation and deformation of Sn on fusion cross sections using proximity potentials
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Abstract
Background: The deformed targets and its orientation with collision axis of the projectile and the target in the nuclear fusion reaction influence the fusion cross-section. Statistical Analysis: The effects of static quadrupole and hexadecapole deformation of target are studied using various proximity potentials in the literature. Accordingly, the height and the position of the Coulomb interaction barrier for 18O+118Sn (deformed target) system is studied in this paper. Findings: The nucleus-nucleus potential was found to depend strongly on the deformation parameters as well as the orientation of the deformed target. The fusion cross section of the mentioned system was found out by applying parameters of the various proximity potential on the Wong’s formula. Also the result of a multi dimensional barrier penetration model (BPM) was assessed using CCFULL code. The fusion cross sections of approx 00, Prox 00DP, pro 77, Prox 88, modProx 88, Prox 10 over estimates the results obtained using BPM and the rest of the potentials under-estimates the result obtained using BPM technique.
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