On the Bohr-Sommerfeld quantization condition and assault frequency in a semiclassical model for α decay

Abstract

We study the impacts of the Bohr-Sommerfeld quantization condition and the assault frequency on the α decay half-life within the semiclassical model. The potential between the α particle and daughter nucleus is calculated by the double-folding model using the CDM3Y3 density-dependent nucleon-nucleon interaction with a finite-range exchange term. We show that the proper implementation of the Bohr-Sommerfeld condition leads to a considerable change of the calculated α decay half-life with certain forms of potential. We also propose an alternative treatment for the assault frequency based on the generalized oscillator potential. This description of assault frequency considerably improves the agreement between the calculated α decay half-lives and the experimental data.

References in corpus (12)

• Radioactive decays at limits of nuclear stability
• Alpha-nucleus potential for alpha-decay and sub-barrier fusion
• Nuclear rainbow scattering and nucleus-nucleus potential
• alpha-nucleus potentials, alpha-decay half-lives, and shell closures for superheavy nuclei
• Alpha decay half-lives of new superheavy elements
• Critical view of WKB decay widths
• Recent developments in radioactive charged-particle emissions and related phenomena
• alpha-nucleus potentials for the neutron-deficient p nuclei
• Super-allowed alpha-decay above doubly-magic 100Sn and properties of 104Te = 100Sn otimes alpha
• The Generalized Liquid Drop Model Alpha-Decay Formula: Predictability Analysis and Super-Heavy Element Alpha Half-Lives
• Experimental searches for rare alpha and beta decays
• Structural Properties and $\alpha$-Decay Chains of Transfermium Nuclei (101$\le$Z$\le$110)

Cited by in corpus (2)

• A Quantization-Constrained Parameter Method for Studying $\alpha$ and Cluster Decay
• A global potential constrained by the Bohr-Sommerfeld quantization condition for $\alpha$-decay half-lives of even-even nuclei