Abstract

In super-heavy nuclei, we may expect to discover new phenomena because of the strong Coulomb force. One example is the true ternary fission. We study the sequential two binary fission of 300120 and 252Cf that produces three fragments. We use the Metropolis method to estimate the probability of the second fission. The probability of the second fission is 10−4-10−3 for superheavy nuclei while it is 10−7−10−6 for heavy actinide nuclei. The most probable mass division is almost symmetric in the case of 300120. We also demonstrate the applicability of the Metropolis method to a non-equilibrium process by comparing it with the Langevin equation.

Highlights

  • In super-heavy nuclei, because of the large atomic number, one may expect to discover new phenomena that we could not observe in lighter nuclei

  • Starting from the pre-scission shape of the fragment of the first binary fission, we calculate the probability of the second fission by using the Metropolis method

  • Results are given for the fission of a super-heavy nucleus 300120 and a heavy actinide nucleus 252Cf

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Summary

Introduction

In super-heavy nuclei, because of the large atomic number, one may expect to discover new phenomena that we could not observe in lighter nuclei. In order to obtain more quantitative estimates of ternary fission in very heavy and super-heavy nuclei, we need a dynamical approach that takes account of the fission saddle heights. It is known, especially for spontaneous fission, that shell correction energy plays an important role in determining the mass distribution of the fragments. Carjan et al [5] calculated the pre-scission configuration for the binary fission of super-heavy nuclei using the microscopic-macroscopic approach They suggested that the N = 82 neutron shell plays a dominant role in determining the most probable mass separation.

Framework
Results and discussions
Probability of the second fission with respect to the first binary fission
The Metropolis method and the Langevin approach
Summary
Full Text
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