Systematic study on probable projectile-target combinations for the synthesis of the ${}^{302}$120 superheavy nucleus

Probable projectile-target combinations for the synthesis of superheavy element ${}^{302}$120 have been studied taking Coulomb and proximity potential as the interaction barrier. The probabilities of compound nucleus formation, PCN for the projectile-target combinations found in the cold reaction valley of ${}^{302}$120 are estimated. At energies near and above the Coulomb barrier, we have calculated the capture, fusion and evaporation residue cross sections for the reactions of all the probable projectile-target combinations so as to predict the most promising projectile-target combinations for the synthesis of SHE ${}^{302}$120 in heavy ion fusion reactions. The calculated fusion and evaporation cross section for the more asymmetric (hotter) projectile-target combination is found to be higher than the less asymmetric (colder) combination. It can be seen from the nature of quasi-fission barrier height, mass asymmetry, probability of compound nucleus formation, survival probability and excitation energy, the systems ${}^{44}$Ar + ${}^{258}$No, ${}^{46}$Ar + ${}^{256}$No, ${}^{48}$Ca + ${}^{254}$Fm, ${}^{50}$Ca + ${}^{252}$Fm, ${}^{54}$Ti + ${}^{248}$Cf, ${}^{58}$Cr + ${}^{244}$Cm in the deep region I of cold reaction valley, and the systems ${}^{62}$Fe + ${}^{240}$Pu, ${}^{64}$Fe + ${}^{238}$Pu, ${}^{68}$Ni + ${}^{234}$U, ${}^{70}$Ni + ${}^{232}$U, ${}^{72}$Ni + ${}^{230}$U, ${}^{74}$Zn

• ${}^{228}$Th in the other cold valleys are identified as the better projectile-target combinations for the synthesis of ${}^{302}$120. Our prediction on the synthesis of ${}^{302}$120 superheavy nuclei using the combinations ${}^{54}$Cr+${}^{248}$Cm, ${}^{58}$Fe+${}^{244}$Pu, ${}^{64}$Ni+${}^{238}$U and ${}^{50}$Ti+${}^{249}$Cf are compared with available experimental data and other theoretical predictions.