The multidimensional model of cluster radioactivity

Abstract

The cluster decays ${}^{228}$Th $\to {}^{208}$Pb + ${}^{20}$O, ${}^{232}$U $\to {}^{208}$Pb + ${}^{24}$Ne, ${}^{236}$Pu $\to {}^{208}$Pb + ${}^{28}$Mg, ${}^{242}$Cm $\to {}^{208}$Pb + ${}^{34}$Si are considered in the framework of the multidimensional cluster preformation model. The macroscopic potential energy surface related to the interaction between the cluster and the residue nucleus is evaluated in the framework of the nonlocal ${\hslash }^4$ extended Thomas-Fermi approach with Skyrme and Coulomb forces. The shell-correction to the macroscopic potential energy is also taken into account. The dynamical surface deformations of both the cluster and the residue nucleus are taken into consideration at the barrier penetration path. The heights of saddle points related to deformed nuclear shapes are lower than the barrier height between the spherical cluster and residue nuclei; therefore the dynamical deformations of nuclei increase the barrier penetrability and reduce the half-life of cluster decay. The shell correction contribution into the potential energy between cluster and residue nucleus is important for both the potential landscape and the half-life evaluation. The experimental values of cluster decay half-lives are well reproduced in the model.

12 pages, 4 figures

References in corpus (8)

• Microscopic mechanism of charged-particle radioactivity and generalization of the Geiger-Nuttall law
• Comparison of different proximity potentials for asymmetric colliding nuclei
• Microscopic description of cluster radioactivity in actinide nuclei
• A new microscopic nucleon-nucleon interaction derived from relativistic mean field theory
• Systematic study of heavy cluster emission from {210-226}^Ra isotopes
• Cluster radioactivity in very heavy nuclei: a new perspective
• Role of non-collective excitations in heavy-ion fusion reactions and quasi-elastic scattering around the Coulomb barrier
• On the role of different Skyrme forces and surface corrections in exotic cluster-decay

Cited by in corpus (7)

• Nucleus-nucleus potential with shell-correction contribution
• Optimum orientation versus orientation averaging description of cluster radioactivity
• Nucleus-nucleus potential with shell-correction contribution and deep sub-barrier fusion of heavy nuclei
• Systematic study of two-proton radioactivity half-lives based on a modified Gamow-like model
• Systematic study of fusion barrier characteristics within the relativistic mean-field formalism
• Medium dependent relativistic NN potential: Application to the fusion dynamics
• Systematic calculations of cluster radioactivity half-lives with a screened electrostatic barrier