Formation cross sections of isotopes of the superheavy nuclei Og, Fl, and Nh using the dinuclear system model

Abstract

Using the double-folding potential based on the dinuclear system model, the production cross section of different even isotopes of $\mathrm{Og}$ through $^{84--92}\mathrm{Kr}+^{208}\mathrm{Pb}\ensuremath{\rightarrow}^{292--300}\mathrm{Og}$, various even isotopes of $\mathrm{Fl}$ through $^{72,74,76}\mathrm{Ge}+^{208}\mathrm{Pb}\ensuremath{\rightarrow}^{280,282,284}\mathrm{Fl}, ^{279}\mathrm{Nh}$ and $^{278}\mathrm{Cn}$ through interaction of $^{70}\mathrm{Zn}$ with $^{208}\mathrm{Pb}$ and $^{209}\mathrm{Bi}$ cold reactions are calculated. To evaluate the nuclear temperature of these compound nucleus, the exact Ginzburg-Landau theory is employed. Calculated formation cross section for different isotopes of $\mathrm{Og}, \mathrm{Fl}, \mathrm{Nh}$, and $\mathrm{Cn}$ using complete set of potentials consisting of nuclear double-folding, Coulomb, and centripetal potentials are compared with the results of other theoretical models as well as available experimental data. The comparison indicates that the calculated formation cross section using this approach agreed well with experimental data and the results of other theoretical models.