THEORETICAL STUDIES OF THE ALPHA DECAY OF DEFORMED NUCLEI (thesis)
The alpha decay of a deformed odd-mass nucleus, U/sup 233/, is treated by the use of numerical integration on an IBM650 computer. The results of this treatment are compared with the theory of Bohr, Froman, and Mottelson. Approximate analytic methods are developed for calculating the amplitudes of alpha partial waves at the surface of deformed even-even nuclei. A two-term expansion modifying the ordinary Coulomb function to account for nuclear quadrupole coupling is applied. The amplitudes of alpha partial waves at the nuclear surface are tabulated for eight choices of phase and three values of the intrinsic nuclear quadrupole moment. The analytic method is developed to predict the intensities of the higher members of the ground rotational band. A comparison is made between the nuraerical integration and the experiments of Roberts, Dabbs, and Parker, in which they examine the angular distribution of alpha particles from aligned U/sup 233/ nuclei. A detailed comparison is made between the analytic treatment developed here, that of Froman, and the numerical integration of Basmussen and Hansen for Cm/sup 242/. The results of the numerical integration of U/sup 233/ are presented in matrices analogous to those of Froman. (auth)
- Research Organization:
- California Univ., Berkeley, CA (US). Radiation Lab.
- DOE Contract Number:
- W-7405-ENG-48
- NSA Number:
- NSA-12-015807
- OSTI ID:
- 4301656
- Report Number(s):
- UCRL-8294
- Country of Publication:
- United States
- Language:
- English
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