Penetration factor in deformed potentials: Application to α decay with deformed nuclei

M. Ismail, A. Y. Ellithi, M. M. Botros, and A. Abdurrahman
Phys. Rev. C 86, 044317 – Published 16 October 2012

Abstract

A new averaging process of the calculation of α-decay half-lives for heavy and superheavy nuclei is studied in the framework of a deformed density-dependent cluster model. The potential between a spherical α particle and a deformed daughter nucleus is calculated numerically from the double-folding model by the multipole expansion method. The nuclear potential is calculated at each α-particle emission angle applying the Bohr-Sommerfeld condition at each case. The penetration factors and the half-lives for all the emission angles are evaluated with the new averaging process and compared with older values based on a fixed value of the nuclear potential depth. Finally, the half-lives of 83 even-even heavy nuclei in the atomic-number range 82–118 are calculated by the two methods and compared with their experimental values and the corresponding half-lives of the spherical daughter nuclei.

  • Figure
  • Figure
  • Figure
  • Received 11 July 2011

DOI:https://doi.org/10.1103/PhysRevC.86.044317

©2012 American Physical Society

Authors & Affiliations

M. Ismail, A. Y. Ellithi, and M. M. Botros

  • Department of Physics, Faculty of Science, Cairo University, Giza, Egypt

A. Abdurrahman

  • Department of Physics, Faculty of Engineering, Misr University for Science and technology (MUST), Giza, Egypt

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 86, Iss. 4 — October 2012

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review C

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×