Microscopic mechanism of charged-particle radioactivity and generalization of the Geiger-Nuttall law

Abstract

A linear relation for charged-particle emissions is presented starting from the microscopic mechanism of the radioactive decay. It relates the logarithms of the decay half-lives with two variables, called ${\chi }^{\prime }$ and ${\rho }^{\prime }$, which depend upon the $Q$-values of the outgoing clusters as well as the masses and charges of the nuclei involved in the decay. This relation explains well all known cluster decays. It is found to be a generalization of the Geiger-Nuttall law in $\alpha$ radioactivity and therefore we call it the universal decay law. Predictions on the most likely emissions of various clusters are presented by applying the law over the whole nuclear chart. It is seen that the decays of heavier clusters with non-equal proton and neutron numbers are mostly located in the trans-lead region. The emissions of clusters with equal protons and neutrons, like ${}^{12}$C and ${}^{16}$O, are possible in some neutron-deficient nuclei with $Z\ge 54$.

5 tables, 11 figures

References in corpus (6)

• $\alpha$ particle preformation in heavy nuclei and penetration probability
• Universal decay rule for reduced widths
• Proton radioactivity within a generalized liquid drop model
• Systematics of proton emission
• Cluster decay in very heavy nuclei in Relativistic Mean Field
• Cluster radioactivity in very heavy nuclei: a new perspective

Cited by in corpus (15)

• Alpha-decay half-lives and Q_alpha values of superheavy nuclei
• New $\alpha$-Emitting Isotope ${}^{214}$U and Abnormal Enhancement of $\alpha$-Particle Clustering in Lightest Uranium Isotopes
• Collectivity in the light Xenon isotopes: A shell model study
• On the Validity of the Geiger-Nuttall Alpha-Decay Law and its Microscopic Basis
• Systematic study of proton radioactivity based on Gamow--like model with a screened electrostatic barrier
• Proton emission with a screened electrostatic barrier
• $\alpha$-decay properties of even-even superheavy nuclei
• Decay of superheavy nuclei based on the random forest algorithm
• Systematic study of $\alpha$ decay half-lives based on Gamow--like model with a screened electrostatic barrier
• Probable cluster decays from ${}^{270-318}$118 superheavy nuclei
• Systematic study of two-proton radioactivity half-lives based on a modified Gamow-like model
• Systematic study of cluster radioactivity in trans-lead nuclei within various versions of proximity potential formalisms
• Systematic calculations of cluster radioactivity half-lives with a screened electrostatic barrier
• Systematic study of proton radioactivity half-lives based on the relationship between the Skyrme-Hartree-Fock and the macroscopic quantities of nuclear matter
• The nuclear surface diffuseness effects on the alpha decay of heavy and super heavy nuclei