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In this paper, we have studied all possible ${}^{48}\mathrm{\text{Ca}}$ and ${}^{58}\mathrm{\text{Fe}}$-induced fusion reactions for the synthesis of superheavy nuclei $104\le Z\le 125$. The semi-empirical formula for fusion barriers of ${}^{48}\mathrm{\text{Ca}}$ and ${}^{58}\mathrm{\text{Fe}}$ is constructed. Fusion and evaporation residue cross-sections are studied using advance statistical model (ASM). The fusion and evaporation residue cross-sections of this work are compared with that of experiments. We have also predicted suitable targets and production cross-sections for the synthesis of superheavy elements using the ${}^{48}\mathrm{\text{Ca}}$ and ${}^{58}\mathrm{\text{Fe}}$-induced fusion reactions. The ${}^{58}\mathrm{\text{Fe}}$-induced fusion reactions can be used to synthesize superheavy elements $Z=120,122$ and 124 using the targets ${}^{245}$Cm, ${}^{249}$Bk and ${}^{249}$Cf have half-lives greater than one year and produce the cross-sections in terms of pb.

The alpha decay half-lives of actinides within modified generalized liquid drop model (MGLDM) are investigated by the Wentzel–Kramers–Brillouin (WKB) barrier penetration probability. The potential barrier was studied taking in to account of nuclear proximity, coulomb interaction and centrifugal potential with the inclusion of angular momentum. This work predicts the alpha decay half-lives of unknown actinide nuclei such as ${}^{248}$Am, ${}^{235,237,252}$Cm, ${}^{248,252,253}$Bk, ${}^{247}$Es and ${}^{248}$No. The calculated alpha decay half-lives reproduce accurately the experimental data. The predictions provided for the alpha decay half-lives within the MGLDM may be helpful for identifying the new isotopes in this field.

We calculate the ground state properties of recently synthesized superheavy elements (SHEs) from Z = 105–118 along with the predicted proton magic Z = 120. The relativistic and nonrelativistic mean field formalisms are used to evaluate the binding energy (BE), charge radius, quadrupole deformation parameter and the density distribution of nucleons. We analyzed the stability of the nuclei based on BE and neutron to proton ratio. We also studied the bubble structure which reveals the special features of the superheavy nuclei.