Fusion mechanism involved in the synthesis of superheavy element Z>118 using Mn projectiles

Abstract

We conducted an in-depth investigation of Mn-induced fusion reactions aimed at synthesizing superheavy elements with atomic numbers Z=119 to Z=123. Our analysis considers the total potential, which combines Coulomb and nuclear potentials. The nuclear potential was calculated using the Thomas–Fermi approach, a valuable method for modeling the behavior of nucleons in atomic nuclei. within the framework of advanced statistical model, the evaporation residue cross-sections were determined. At optimal energies, we have calculated capture, fusion, and evaporation residue cross-sections for the reactions of all the projectile–target combinations. All ${}^{53-55}$Mn isotopes with larger half-lives were taken into consideration as projectiles. Fusion reactions between ${}^{53-55}$Mn projectiles with ${}^{238-242,244}$Pu, ${}^{241-243}$Am, ${}^{242-248,250}$Cm, ${}^{247-249}$Bk, and ${}^{248-254}$Cf. Detailed investigations were made and promising reactions viz. ${}^{241}\mathrm{Pu}$ (${}^{55}\mathrm{Mn}$, 3n)²⁹³119, ${}^{242}\mathrm{Am}$ (${}^{55}\mathrm{Mn}$, 3n)²⁹⁴120, ${}^{247}\mathrm{Cm}$ (${}^{55}\mathrm{Mn}$, 3n)²⁹⁹121, ${}^{248}\mathrm{Bk}$ (${}^{55}\mathrm{Mn}$, 3n)³⁰⁰122 and ${}^{251}\mathrm{Cf}$ (${}^{53}\mathrm{Mn}$, 3n)³⁰¹123 with maximum ${\sigma }_{ER}$ are found to be 415.1 fb at 240 MeV, 115.4 fb at 244 MeV, 36.5 fb at 245 MeV, 13.6 fb at 249 MeV, 5.4 fb at 250 MeV for Z=119-123 respectively. These predictions may help the future experimentalist to explore the 8th row in the periodic table.