Effect of Quadrupole and Hexadecapole Deformations of Target on Projectile

Abstract

To investigate the effect of the magnitude of deformations on heavy-ion fusion reactions, we have considered reactions in such a way that the deformations of the target varied whereas that of the projectile remained the same. Using an advanced statistical model, we investigated fusion reactions of ⁴He+^233–238U, ⁴⁸Ca+^204–208Pb, and ⁴⁸Ca+^240–244Pu. The influence of quadrupole and hexadecapole deformations on Coulomb potential was considered. The fusion cross-sections and evaporation residue cross-sections studied were in good accord with that of the experiments. As a consequence, a thorough examination of fusion processes like He+U, Ca+Pb, and Ca+Pu demonstrates how quadrupole deformation simultaneously increases fusion and evaporation cross-sections. σ_ER decreases with increasing hexadecapole deformation. Also, to comprehend the many facets of heavy-ion interactions of quadrupole and hexadecapole deformations of target nuclei, substantial deformation research in both theoretical and practical aspects is required.