Systematics of production cross sections in ${}_{54}\mathrm{Cr}$-induced fusion evaporation reactions

A series of fusion evaporation reactions induced by the ${}_{54}\mathrm{Cr}_{17+}$ beam have been performed using the gas-filled recoil separator SHANS2. The excitation functions of ${}_{54}\mathrm{Cr}+{}_{159}\mathrm{Tb}$ and ${}_{54}\mathrm{Cr}+{}_{165}\mathrm{Ho}$ reactions were measured. The systematics of cross sections for reactions with ${}_{40}\mathrm{Ar}, {}_{48}\mathrm{Ca}, {}_{50}\mathrm{Ti}$, and ${}_{54}\mathrm{Cr}$ projectiles are compiled and discussed. It is suggested that employing the ${}_{54}\mathrm{Cr}$ beam holds the potential for synthesizing neutron-deficient actinide nuclei. In addition, we attempted to synthesize undiscovered americium isotopes with ${}_{175}\mathrm{Lu}({}_{54}\mathrm{Cr},3n–4n){}_{225,226}\mathrm{Am}$ reactions. No events were observed originating from ${}_{225}\mathrm{Am}$ and ${}_{226}\mathrm{Am}$, and the upper limits were estimated to be 2.1 and 1.7 pb, respectively. The significantly low fission barrier of the com- pound nucleus ${}_{229}\mathrm{Am}$, which leads to the small survival probability, might be a possible reason for the low cross sections.