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.

中文翻译：

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靶四极和十六极变形对弹丸的影响

为了研究变形幅度对重离子聚变反应的影响，我们考虑了目标变形变化而弹丸变形保持不变的反应。使用先进的统计模型，我们研究了⁴ He+ ^233–238 U、⁴⁸ Ca+ ^204–208 Pb 和⁴⁸ Ca+ ^240–244 Pu 的聚变反应。考虑了四极和十六极变形对库仑势的影响。研究的熔融截面和蒸发残渣截面与实验结果吻合较好。因此，对 He+U、Ca+Pb 和 Ca+Pu 等聚变过程的彻底检查表明了四极变形如何同时增加聚变和蒸发截面。σ _ER随着十六极变形的增加而减小。此外，为了理解目标核的四极和十六极变形的重离子相互作用的许多方面，需要在理论和实践方面进行大量的变形研究。