https://doi.org/10.1140/epja/i2016-16129-7
Regular Article - Theoretical Physics
Parameterization of fusion barriers for light-projectiles-induced reactions using the proximity approach
1
Department of Physics, Sciences Faculty, Hakim Sabzevari University, P. O. Box 397, Sabzevar, Iran
2
Department of Physics, Ferdows Faculty of Engineering, University of Birjand, Ferdows, Iran
* e-mail: r.gharaei@hsu.ac.ir
Received:
19
June
2015
Revised:
27
February
2016
Accepted:
12
March
2016
Published online:
12
May
2016
In this article we propose a pocket formula for fusion barriers calculated by three versions of the proximity formalism, namely AW 95, Bass 80 and Prox. 2010 potentials, for fusion reactions involving the collisions of the proton and helium projectiles with different targets in mass ranges 
and 
, respectively. For the first type of the colliding systems, it is shown that the proposed pocket formulas are able to predict the actual values of 
and 
within accuracies of ±0.4% and ±0.45% , respectively. Moreover, for the second type of the selected reactions, these accuracies are obtained ±0.24% and ±0.36% , respectively. In this study, the ability of the present pocket formulas is also demonstrated to predict the exact values of the fusion cross sections for our selected mass ranges. A comparison with the results of the previous pocket formulas reveals that our parameterized forms are more successful to reproduce the empirical data of the barrier height and position in the proton- and helium-induced reactions.
© SIF, Springer-Verlag Berlin Heidelberg, 2016
