Abstract

The application of the dinuclear system model is discussed to describe the spontaneous fission process. Cluster decay widths and spontaneous fission of 234U are calculated within the same approach. The model describes well the experimental data on half-lives.

Highlights

  • After the emission of 14C by 223Ra was discovered [1, 2], other cluster radioactivities have been observed

  • The cluster configuration is represented as a dinuclear system (DNS), which can be described with the distance R between the centers of mass of the clusters and charge asymmetry coordinate ηZ

  • The cluster radioactivity (CR), including α−decay was considered as the evolution of the system in the collective coordinates of charge asymmetry and in the relative distance between the centers of clusters

Read more

Summary

Introduction

After the emission of 14C by 223Ra was discovered [1, 2], other cluster radioactivities have been observed. The cluster configuration is represented as a dinuclear system (DNS), which can be described with the distance R between the centers of mass of the clusters and charge asymmetry coordinate ηZ. Motion in ηZ corresponds to cluster configuration formation; motion in R coordinate describes the decay process. This replacement of variables preserves the form of Eq (3) with the function Ψ(x) domain change to x ∈ (0, 1), where x = 0 corresponds to the state of mononucleus, and x = 1 notes the symmetric DNS configuration. Where ω0 is the frequency of zero-point vibration in ηz coordinate near the mononucleus state, ω0 is equal to the distance between the ground and the first excited state of DNS.

Calculated results
Summary
Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call