Microscopic description of cluster radioactivity in actinide nuclei

Abstract

Cluster radioactivity is the emission of a fragment heavier than $\alpha$ particle and lighter than mass 50. The range of clusters observed in experiments goes from ${}^{14}$C to ${}^{32}$Si while the heavy mass residue is always a nucleus in the neighborhood of the doubly-magic ${}^{208}$Pb nucleus. Cluster radioactivity is described in this paper as a very asymmetric nuclear fission. A new fission valley leading to a decay with large fragment mass asymmetry matching the cluster radioactivity products is found. The mass octupole moment is found to be more convenient than the standard quadrupole moment as the parameter driving the system to fission. The mean-field HFB theory with the phenomenological Gogny interaction has been used to compute the cluster emission properties of a wide range of even-even actinide nuclei from ${}^{222}$Ra to ${}^{242}$Cm, where emission of the clusters has been experimentally observed. Computed half-lives for cluster emission are compared with experimental results. The noticeable agreement obtained between the predicted properties of cluster emission (namely, clusters masses and emission half-lives) and the measured data confirms the validity of the proposed methodology in the analysis of the phenomenon of cluster radioactivity. A continuous fission path through the scission point has been described using the neck parameter constraint.

19 pages, 15 figures

References in corpus (9)

• Microscopic mechanism of charged-particle radioactivity and generalization of the Geiger-Nuttall law
• Charge radii and structural evolution in Sr, Zr, and Mo isotopes
• Structure properties of ${}^{226}$Th and ${}^{256,258,260}$Fm fission fragments: mean field analysis with the Gogny force
• Application of the gradient method to Hartree-Fock-Bogoliubov theory
• Signatures of shape transition in odd-A neutron-rich Rubidium isotopes
• Time Dependent Pairing Equations for Seniority One Nuclear Systems
• Cluster radioactivity in very heavy nuclei: a new perspective
• Cluster radioactivity of Th isotopes in the mean-field HFB theory
• Cluster radioactivity in ${}^{114}$Ba in the HFB theory

Cited by in corpus (36)

• Microscopic Theory of Nuclear Fission: A Review
• Mean field and beyond description of nuclear structure with the Gogny force: A review
• Fission half-lives of super-heavy nuclei in a microscopic approach
• Octupole deformation in the ground states of even-even nuclei: a global analysis within the covariant density functional theory
• Description of Induced Nuclear Fission with Skyrme Energy Functionals: I. Static Potential Energy Surfaces and Fission Fragment Properties
• Fission barriers and probabilities of spontaneous fission for elements with Z$\ge$100
• Theory of Nuclear Fission
• Fission properties of superheavy nuclei for r-process calculations
• Fission modes of mercury isotopes
• Dynamic versus static fission paths with realistic interactions
• Cluster decay half lives of trans-lead nuclei within the Coulomb and proximity potential model
• Microscopic description of fission in Uranium isotopes with the Gogny energy density functional
• Cluster Radioactivity in Super Heavy Nuclei
• Cluster radioactivity of ${}_{118}^{294}$Og${}_{176}$
• Fission properties of the BCPM functional
• Octupole deformation in the ground states of even-even $Z\sim 96,N\sim 196$ actinides and superheavy nuclei
• Spontaneous fission of superheavy nucleus ${}^{286}$Fl
• Fission dynamics of ${}^{252}$Cf
• Systematic study of heavy cluster emission from {210-226}^Ra isotopes
• The multidimensional model of cluster radioactivity
• Microscopic description of fission in odd-mass uranium and plutonium nuclei with the Gogny energy density functional
• Microscopic description of quadrupole-octupole coupling in neutron-rich actinides and superheavy nuclei with the Gogny-D1M energy density functional
• Description of the multidimensional potential energy surface in fission of ${}^{252}$Cf and ${}^{258}$No
• Microscopic description of the self-conjugate ${}^{108}$Xe and ${}^{104}$Te $\alpha$-decay chain
• Deformation properties with a finite range simple effective interaction
• Scission Dynamics with K Partitions
• Scission configuration in the self-consistent calculations with neck constraint
• Decay widths at the scission point in nuclear fission
• Building Surrogate Models of Nuclear Density Functional Theory with Gaussian Processesand Autoencoders
• Microscopic description of cluster decays based on the generator coordinate method
• Beyond-mean-field description of octupolarity in dysprosium isotopes with the Gogny-D1M energy density functional
• Microscopic description of quadrupole-hexadecapole coupling in radium, thorium, uranium and plutonium isotopes with the Gogny energy density functional
• Cluster properties of heavy nuclei predicted with the Barcelona-Catania-Paris-Madrid energy density functional
• Parity-doublet bands in the odd-\bm{$A$} isotones \element{237}U and \element{239}Pu by a particle-number-conserving method based on the cranked shell model
• Quadrupole-hexadecapole coupling in the rare earth region with beyond mean field correlations
• Shell plus pairing effect arguments for cluster preformation at the nuclear surface in cold fission