Study of fusion barriers for proton and helium induced reactions using various parameterized formulae

Our previous study [Kumari R and Kaur S 2014 Chin. Phys. Lett.31 112501] revealed that out of various proximity potentials, the parameterized forms derived using Proximity 1977 yield fusion barrier heights and positions in good agreement with empirical values for proton as well as helium induced reactions. Also, in an another study [Kumari R and Puri R K 2015 Nucl. Phys. A933 135], we presented new parameterized forms for fusion barrier heights and positions using empirical data for more than 200 reactions. Our fits using these parameterized forms were found to be better than the others available in the literature. In the present study, all the above mentioned parameterizations are employed to calculate fusion barrier heights and positions for proton and helium induced reactions. Our findings show that our parameterized forms (based on empirical data and the one using Proximity 1977) yield results closer to the empirical values for helium induced reactions as compared to other parameterized forms. However, few deviations are observed in the present study in the case of proton induced reactions.