${}^4\mathrm{He}$, ${}^{10}\mathrm{Be}$, ${}^{14}\mathrm{C}$, and ${}^{16}\mathrm{O}$ light-fragment-accompanied cold ternary fission of the ${}^{250}\mathrm{Cm}$ isotope in an equatorial three-cluster model

The cold ternary fission of ${}^{250}\mathrm{Cm}$ accompanied with ${}^4\mathrm{He}$, ${}^{10}\mathrm{Be}$, ${}^{14}\mathrm{C}$, and ${}^{16}\mathrm{O}$ light charged particles in the equatorial three-cluster model configuration is studied. Driving potential and fission yield for each accompanied light charged particles for individual fragmentation are calculated. The obtained results reveal that even-mass-number components are more favored than odd-mass-number components. Furthermore, upon increasing the mass of light fixed fragment in ternary fission, the probability of crossing over the potential barrier (driving potential) is decreased considerably due to the height of the potential barrier. The comparison between relative yields for a variety of fragmentation in each group indicates that the presence of doubly or near doubly magic closed-shell fragments are more favored in the cold ternary fission of the ${}^{250}\mathrm{Cm}$ superheavy isotope.

Figure 1

Driving potential versus fragment mass number $A_1$ for four groups of accompanying light fragments.

Figure 2

Relative yield for ${}^4\mathrm{He}$-accompanied ternary fission of ${}^{250}\mathrm{Cm}$ as a function of mass numbers $A_1$ and $A_2$.

Figure 3

Relative yield for ${}^{10}\mathrm{Be}$-accompanied ternary fission of ${}^{250}\mathrm{Cm}$ as a function of mass numbers $A_1$ and $A_2$.

Figure 4

Relative yield for ${}^{14}\mathrm{C}$-accompanied ternary fission of ${}^{250}\mathrm{Cm}$ as a function of mass numbers $A_1$ and $A_2$.

Figure 5

Relative yield for ${}^{16}\mathrm{O}$-accompanied ternary fission of ${}^{250}\mathrm{Cm}$ as a function of mass numbers $A_1$ and $A_2$.

Figure 6

Relative yield for ${}^{16}\mathrm{O}$-accompanied ternary fission of ${}^{250}\mathrm{Cm}$ as a bar graph.