Probability for synthesis of superheavy nuclei with Z=121

Abstract

In this study the empirical method \cite{RN464} is used for calculating the evaporation residue (ER) cross section in the synthesis of superheavy nuclei (SHN). The superheavy nuclei examined in this work fall within the range $Z=112-118$. The theoretical calculations show good agreement with the experimental data. Furthermore, this model, along with an investigation of the optimal incident energy (OIE), is used to calculate the ER cross section for a hypothetical heavy system with $Z=121$. Five promising combinations are suggested for synthesis of SHN with $Z=121$: (1) ${^{50}}\mathrm{Ti}+{^{252}}\mathrm{Es}$, with the maximum ER cross section $\sigma_{3n}=24.5~\mathrm{fb}$, at the optimal incident energy, $\mathrm{OIE}=230~\mathrm{MeV}$; (2) ${^{50}}\mathrm{Ti}+{^{254}}\mathrm{Es}$, with the maximum ER cross section $\sigma_{3n}=11.8~\mathrm{fb}$, at the optimal incident energy, $\mathrm{OIE}=229~\mathrm{MeV}$; (3) ${^{51}}\mathrm{V}+{^{251}}\mathrm{Cf}$, with the maximum ER cross section $\sigma_{3n}=1.2~\mathrm{fb}$, at the optimal incident energy, $\mathrm{OIE}=238~\mathrm{MeV}$; (4) ${^{51}}\mathrm{V}+{^{249}}\mathrm{Cf}$, with the maximum ER cross section $\sigma_{3n}=1.0~\mathrm{fb}$, at the optimal incident energy, $\mathrm{OIE}=238~\mathrm{MeV}$; and (5) ${^{54}}\mathrm{Cr}+{^{247}}\mathrm{Bk}$, with the maximum ER cross section $\sigma_{2n}=0.9~\mathrm{fb}$, at the optimal incident energy, $\mathrm{OIE}=243~\mathrm{MeV}$.