Interaction of three fission fragments and yields of various ternary fragments

The interaction potential energy of the three deformed fragments formed in fission of ${}^{252}\mathrm{Cf}$ is studied for various combinations of three-fragment fission. The lowest height of the potential energy ridge between three touching and separated deformed fragments is sought. The excitation energies of various three-deformed-fragment configurations, at the lowest barrier heights related to the yield of the corresponding configuration, are considered in detail. The most probable three-fragment fission configurations are discussed. The yields of various ternary fragments in fission of ${}^{250}\mathrm{Cf}$ agree well with available experimental data.

Figure 1

The collinear orientation of axial-symmetric deformed fragments. The arrow is the axial-symmetric axis.

Figure 2

The differences of the potentials $\mathrm{\Delta }V(d_{12}^t,d_{23}^t)$ at the values of deformation parameters at the lowest barrier point for the fission of ${}^{252}\mathrm{Cf}$ into fragments ${}^{98}\mathrm{Zr}+{}^{22}\mathrm{O}+{}^{132}\mathrm{Sn}$.

Figure 3

The differences of the potentials $\mathrm{\Delta }V(d_{12}^t,d_{23}^t)$ at the values of deformation parameters at the lowest barrier point for the fission of ${}^{252}\mathrm{Cf}$ into fragments ${}^{72}\mathrm{Ni}+{}^{48}\mathrm{Ca}+{}^{132}\mathrm{Sn}$.

Figure 4

The dependence of the total excitation energy of fragments $E^{*}$ for the triple spontaneous fission of ${}^{252}\mathrm{Cf}$ on the masses the first and third fragments.

Figure 5

The dependence of the total excitation energy of fragments $E^{*}$ for the triple spontaneous fission of ${}^{252}\mathrm{Cf}$ on the masses the first and second fragments.

Figure 6

The dependence of the total excitation energy of fragments $E^{*}$ for the triple fission of ${}^{252}\mathrm{Cf}$ at excitation energy ${\varepsilon }^{*}=10$ MeV on masses of the first and third fragments.

Figure 7

The dependence of the total excitation energy of fragments $E^{*}$ for the triple fission of ${}^{252}\mathrm{Cf}$ at excitation energy ${\varepsilon }^{*}=10$ MeV on masses of the first and second fragments.

Figure 8

Yield (probability per binary fission event) of ternary particles from ${}^{250}\mathrm{Cf}$. The experimental data are taken from Ref. [10].