Ternary fission of α -structured nuclei with 12≤A≤60 : A three-body decay approach

Abstract

We study the ternary fission of various even-even $\ensuremath{\alpha}$-structured parent nuclei with $12\ensuremath{\le}A\ensuremath{\le}60$, such as $^{12}\mathrm{C}$, $^{16}\mathrm{O}$, $^{20}\mathrm{Ne}$, $^{24}\mathrm{Mg}$, $^{28}\mathrm{Si}$, $^{32}\mathrm{S}$, $^{36}\mathrm{Ar}$, $^{40}\mathrm{Ca}$, $^{44}\mathrm{Ti}$, $^{48}\mathrm{Cr}$, $^{52}\mathrm{Fe}$, $^{56}\mathrm{Ni}$, and $^{60}\mathrm{Zn}$, within a three-body decay approach. In the present study, we consider the three spherical ternary fission fragments with the lightest fragment ${A}_{3}$ at the middle of the other two main fission fragments, ${A}_{1}$ and ${A}_{2}$. The effects of hyperradius and the hypermomentum quantum number in the ternary fission potential energy barrier are also studied. Further, the total excitation energy and the ternary fission relative yields are calculated for the possible ternary fragmentation of each parent nuclei considered. From the results obtained, we find the emission of $\ensuremath{\alpha}$-structured ternary fragments is more favored than the other ternary fragment combinations.