Abstract

Present status of theory for synthesis of Super-Heavy Element (SHE) is reported, based on the compound nucleus reaction. Specific aspects are discussed in fusion and survival probabilities. They are the hindrance of fusion in the former and the fragility of the compound nucleus in the latter. Examples of applications are given.

Highlights

  • As it is well-known, residue cross sections for Super-Heavy Element (SHE) are extremely small, and are expected to become even smaller if heavier elements are attempted [1]

  • Theoretical prediction of promising incident systems and optimum incident energy is being strongly desired for planning of future experiments

  • According to the compound nucleus reaction theory, residue cross section for SHE nuclei is given by the following formula, σ

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Summary

Introduction

As it is well-known, residue cross sections for SHE are extremely small, and are expected to become even smaller if heavier elements are attempted [1]. The extremely small residue cross sections stem from two effects : the hindrance in fusion of incident heavy ions and the fragility of the compound nucleus. They are to be taken into account in their respective factors in the above formula [2]. Most of the models for the formation of the spherical compound nucleus are based on the dissipation-fluctuation dynamics for the collective degrees of freedom [3] They turn out to provide a qualitative understanding on why fusion is hindered so strongly, and to improve quantitative predictions of residue cross sections remarkably. Examples of theoretical results are given on fission time scale [7] as well as on predictions of SHE [8]

Overcoming of the Coulomb barrier and the saddle point
Dynamics from di-nucleus to mono-nucleus
Critical distance for denecking of di-nuclear system
Stability against fission by shell correction energy
Statistical theory of decay
Example of Applications
Remarks
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