Theoretical studies of possible toroidal high-spin isomers in the light-mass region

We review our theoretical knowledge of possible toroidal high-spin isomers in the light mass region in 28$\le$$A$$\le$52 obtained previously in cranked Skyrme-Hartree-Fock calculations. We report additional toroidal high-spin isomers in ${}^{56}$Ni with $I$=114$\mathrm{\hslash }$ and 140$\mathrm{\hslash }$, which follow the same (multi-particle)–(multi-hole) systematics as other toroidal high-spin isomers. We examine the production of these exotic nuclei by fusion of various projectiles on ${}^{20}$Ne or ${}^{28}$Si as an active target in time-projection-chamber (TCP) experiments.