Eur. Phys. J. A (2016) 52: 39
https://doi.org/10.1140/epja/i2016-16039-8

Regular Article - Theoretical Physics

Comparative studies for different proximity potentials applied to sub-barrier fusion reactions

¹ School of Physics and Nuclear Energy Engineering, Beihang University, 100191, Beijing, China
² Key Laboratory of Micro-Nano Measurement-Manipulation and Physics (Ministry of Education), Beihang University, 100191, Beijing, China
³ School of Radiation Medicine and Protection, Medical College of Soochow University, 215123, Soochow, China
⁴ China Institute of Atomic Energy, 102413, Beijing, China
⁵ Henryk Niewodniczański Institute of Nuclear Physics PAS, 31-342, Cracow, Poland

^* e-mail: zgl@buaa.edu.cn

Received: 10 September 2015
Accepted: 1 January 2016
Published online: 26 February 2016

Abstract

Coulomb barrier heights calculated by using 14 different versions of proximity potentials are studied and applied for experimental data of fusion in terms of a recently proposed energy scaling approach. The results show that the descriptions of proximity potentials 77 and 88 for the barrier heights seem to be closest to the values required by the systematics. On the basis of proximity potential 77, the parameterized formulas of the barrier height and radius are obtained. These formulas can calculate the barrier positions and barrier heights reasonably well within the error, respectively. Thus it provides a simple and direct way to calculate the barrier positions and barrier heights for heavy-ion fusion reactions.