Theoretical Alpha-Decay Rates for the Actinide Region

J. K. Poggenburg, H. J. Mang, and J. O. Rasmussen
Phys. Rev. 181, 1697 – Published 20 May 1969
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Abstract

The theoretical development of the microscopic (shell-model) theory of α decay of deformed nuclei is reviewed, and the detailed formulas applying to even- and odd-mass nuclei are presented. Results are presented from new calculations on ground-rotational-band α-decay patterns for even-even nuclei from atomic numbers 90-106. These calculations represent a refinement over previously published work in that particle-number-conserving variational wave functions were used instead of Bardeen-Cooper-Schrieffer (BCS) wave functions. The new results for even nuclei are not, however, very different from the earlier BCS results. The main contribution of this paper is the tabulation of several hundred theoretical α amplitudes for odd-mass nuclei from elements 92-101. The theoretical intensities derived from these tables are compared with experiment for a representative sampling of α emitters. The main factors governing hindrance for unfavored transitions are discussed in terms of loss of the pairing correlation enhancement and in terms of the Nilsson functions of the odd-nucleon wave function.

  • Received 9 October 1968

DOI:https://doi.org/10.1103/PhysRev.181.1697

©1969 American Physical Society

Authors & Affiliations

J. K. Poggenburg

  • Isotopes Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee

H. J. Mang

  • Physik Department, Technische Hochschule München, Munich, Germany

J. O. Rasmussen*

  • Departments of Chemistry and Physics, University of California, Berkeley, California

  • *New address: Department of Chemistry, Yale University, New Haven, Conn.

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Vol. 181, Iss. 4 — May 1969

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