This paper provides a comprehensive analysis of all stages of the heavy-ion fusion evaporation reaction, aiming to enhance the understanding of the entire process and identify the influencing factors in calculating the evaporation residue cross-section. By focusing on the synthesis of superheavy nuclei with \(Z=114\) , we discuss the capture cross-section, fusion probability, and survival probability of the 48Ca+244Pu reaction and compare them with those of the 40Ar+248Cm reaction. Moreover, a systematic study examined the evaporation residue cross-sections for the synthesis of superheavy nuclei with \(Z=112-116\) using 40Ar as the projectile nucleus. The results indicate that utilizing 40Ar as the projectile nucleus for synthesizing isotopes with \(Z=114\) offers advantages such as lower incident energy and reduced experimental costs. Furthermore, using 40Ar as the projectile nucleus enables the synthesis of a new key isotope, 285115, thereby facilitating its identification.
