A systematic study on the influence of nuclear surface tension and temperature upon the parameterization of the fusion dynamics

Abstract

For the first time the influence of the surface energy coefficient $\gamma$ and temperature T on the parameterization of the fusion barriers is systematically analyzed within the framework of the proximity formalism, namely proximity 1977, proximity 1988 and proximity 2010 models. A total of 114 fusion reactions with the condition $39 \leq Z_{1} Z_{2} \leq 1520$ for the charge product of their participant nuclei have been studied. We present $\gamma$ -dependent and T -dependent pocket formulas which reproduce the theoretical and empirical data of the fusion barrier height and position for our considered reactions with good accuracy. It is shown that the quality of the $\gamma$ -dependent formula enhances by increasing the strength of the surface energy coefficient. Moreover, the obtained results confirm that imposing the thermal effects improves the agreement between the parameterized and empirical data of the barrier characteristics.