Calculation of tetraneutron-induced reaction cross sections with optical and Hauser-Feshbach statistical models

Interactions of tetraneutrons, which are assumed to be produced in the nuclear fission process, with nuclei are studied in the framework of optical and Hauser-Feshbach statistical models. It predicts a large probability of ${}^{89}\mathrm{S}\mathrm{r}$ production for the tetraneutron-induced reaction on ${}^{88}\mathrm{S}\mathrm{r}$ compared to other isotopes. The same technique is applied to the tetraneutron-induced reaction on ${}^{27}\mathrm{A}\mathrm{l}$ and the hexaneutron-induced reaction on natural zinc to revisit two historical multi-neutron experiments performed in the past.