Half-lives and cluster preformation factors for various cluster emissions in trans-lead nuclei

Dongdong Ni and Zhongzhou Ren
Phys. Rev. C 82, 024311 – Published 12 August 2010

Abstract

The generalized density-dependent cluster model (GDDCM) is extended to study cluster radioactivity in even-even and odd-A nuclei decaying to the doubly magic nucleus Pb208 or its neighboring nuclei. The microscopic cluster-daughter potential is numerically constructed in the double-folding model with M3Y nucleon-nucleon interactions plus proton-proton Coulomb interactions. Instead of the WKB barrier penetration probability, the exact solution of the Schrödinger equation with outgoing Coulomb wave boundary conditions is presented. The cluster preformation factor is well taken into account based on some available experimental cases. The calculated half-lives are found to be in good agreement with the experimental data. This indicates that a unified description of α decay and cluster radioactivity has been achieved by the GDDCM. Predictions of cluster emission half-lives are made for promising emitters, which may guide future experiments.

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  • Received 1 July 2010

DOI:https://doi.org/10.1103/PhysRevC.82.024311

©2010 American Physical Society

Authors & Affiliations

Dongdong Ni1,2,* and Zhongzhou Ren1,2,3,†

  • 1Department of Physics, Nanjing University, Nanjing 210093, China
  • 2Kavli Institute for Theoretical Physics China, Beijing 100190, China
  • 3Center of Theoretical Nuclear Physics, National Laboratory of Heavy-Ion Accelerator, Lanzhou 730000, China

  • *dongdongnick@gmail.com
  • zren@nju.edu.cn

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Vol. 82, Iss. 2 — August 2010

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