Optimal colliding energy for the synthesis of a superheavy element with $Z=119$

The evaporation residue (ER) cross sections of $3n$ and $4n$ channels related to the synthesis of a superheavy element (SHE) with the charge number $Z=119$ in the ${}_{51}V+{}_{248}\mathrm{Cm}$ reaction have been calculated by the dinuclear system (DNS) model as a sum of the partial cross sections of the corresponding channels. The angular momentum distribution of the compound nucleus (CN) is estimated by the dynamical trajectory calculations of the capture probability, which is considered as the DNS formation probability. The fusion probability decreases by the increase of the DNS angular momentum due to its influence on the intrinsic fusion barrier $B_{\mathrm{fus}}^{*}$. The range ${\alpha }_2={60}^{\circ }$–${70}^{\circ }$ of the orientation angle of the axial symmetry axis of the deformed target nucleus ${}_{248}\mathrm{Cm}$ is favorable for the formation of the CN. The fusion probability decreases at around ${\alpha }_2={90}^{\circ }$ since the number of the partial waves contributing to the capture decreases. Therefore, it is important to calculate the capture cross section dynamically. The $4n$ channel cross section of the SHE synthesis is larger than the $3n$ channel cross section maximum value of the ER cross section and it is 12.3 fb at $E_{c.m.}=232\mathrm{MeV}$.