Comparison for three models of ternary fission at finite temperature

The authors define explicitly a fission path from u single sphere to partial overlapping up to separated spheres to describe three fragments with 120 degree (oblate), along a line (prolate), and to describe cascade with the first asymmetric fission and the second symmetric fission. It is easy to compare the three modes for one deformation parameter. The barriers are calculated by the temperature dependence of liquid drop model, adding the proximity potential to take into account the finite range effects of the nuclear force in a crevice, adding shell energy which is local shell effect integrating all over the surface, and the fission probabilities are calculated, which lead to qualitative understanding for the best mode of ternary fission