Proximity Approach to Study the Fusion Barriers for Proton and Helium Induced Reactions

By using various proximity potentials, the fusion barrier heights and positions are calculated for proton and helium induced reactions with targets in the mass range 51≤A ≤130 and 12≤A≤233, respectively. The calculated fusion barriers are parameterized by using the relations R_B^Par=aX₁+b and V_B^Par=cX₂, where X₁ and X₂ are A₂^1/3 and Z₁Z₂/R_B^Par, respectively. The values of the constants a, b and c are different for different versions of proximity potentials. We find that the parameterized forms derived by using Proximity 1977 yield values closer to the empirical data in proton as well as helium induced reactions and can be used further to estimate directly the barrier parameters for the fusion reactions of proton and helium with any target.