Cluster radioactivity of Th isotopes in the mean-field HFB theory

TL;DR

This paper uses a mean-field HFB approach with octupole moments to study the highly asymmetric cluster radioactivity in Thorium isotopes, providing theoretical insights into fission barriers, emitted cluster masses, and half-lives.

Contribution

It introduces the use of reflection symmetry breaking octupole moments as a key coordinate in HFB theory for modeling asymmetric fission in Thorium isotopes, advancing theoretical understanding.

Findings

Calculated cluster masses and half-lives for Th isotopes.

Identified the role of octupole moments in asymmetric fission.

Compared theoretical results with experimental data where available.

Abstract

Cluster radioactivity is described as a very mass asymmetric fission process. The reflection symmetry breaking octupole moment has been used in a mean field HFB theory as leading coordinate instead of the quadrupole moment usually used in standard fission calculations. The procedure has been applied to the study of the ``very mass asymmetric fission barrier'' of several even-even Thorium isotopes. The masses of the emitted clusters as well as the corresponding half-lives have been evaluated on those cases where experimental data exist.