Studies on the synthesis of isotopes of superheavy element Lv (Z = 116)

The probable projectile-target combinations for the synthesis of superheavy nucleus ²⁹⁶Lv found in the cold valley of ²⁹⁶Lv have been identified by studying the interaction barrier of the colliding nuclei, probability of compound nucleus formation, P_CN, and survival probability W_sur. At energies near and above the Coulomb barrier, the capture, fusion and evaporation residue (ER) cross sections for the probable combinations for the hot and cold fusion reactions are systematically investigated. By considering intensities of the projectile beams, availabilities of the targets and half lives of the colliding nuclei, the combination ⁴⁸Ca + ²⁴⁸Cm is found to be the most probable projectile-target pair for the synthesis of ²⁹⁶Lv. The calculated maximum value of 2n, 3n, 4n and 5n channel cross section for the reaction ⁴⁸Ca + ²⁴⁸Cm are 0.599 pb, 5.957 pb, 4.805 pb, and 0.065 pb, respectively. Moreover, the production cross sections for the synthesis of isotopes ^291-295,298Lv using ⁴⁸Ca projectile on ^243-247,250Cm targets are calculated. Among these reactions, the reactions ⁴⁸Ca + ²⁴⁷Cm → ²⁹⁵Lv and ⁴⁸Ca + ²⁵⁰Cm → ²⁹⁸Lv have maximum production cross section in 3n (10.697 pb) and 4n (12.006 pb) channel, respectively. Our studies on the SHE Lv using the combinations ⁴⁸Ca + ²⁴⁵Cm → ²⁹³Lv and ⁴⁸Ca + ²⁴⁸Cm → ²⁹⁶Lv are compared with available experimental data and with other theoretical studies. Our studies are in agreement with experimental data and we hope that these studies will be a guide for the future experiments to synthesize the isotopes of Lv. (orig.)