Barrier characteristics, barrier height and position, were studied on spherical-deformed fusion reactions using the proximity potential. Spherical-prolate (${\beta }_{21}=0.0$, ${\beta }_{22}=0.340$) and spherical-oblate (${\beta }_{21}=0.0$, ${\beta }_{22}=-0.330$) systems were tested in two different configurations and a pocket formula was presented that reproduced the theoretical values of barrier height and its position, with an accuracy of $\pm$0.4$\%$ for both types of configuration. The results obtained from this work reveal the possibility of determining parametrization for barrier characteristics in deformed systems.

• Received 9 February 2014
• Revised 9 April 2014

DOI:https://doi.org/10.1103/PhysRevC.89.054607