NUMERICAL SOLUTIONS OF THE CURIUM-242 ALPHA-DECAY WAVE EQUATION
Numerical integration of the previously derived alphadecay wave equation, including electric quadrupole coupling terms, was carried out for Cm/ sup 242/ including 1 = 0, 2, 4, and 6 partial waves. Eight integrations were carried inward in spherical polar coordinates on an IBM-650 computer with different initial conditions, such that a complete set of eight linearly independent solutions to the system of coupled equations was generated. Eight different linear combinations of this base set were found which satisfy the boundariconditions imposed by experimental Cm/sup 242/ alpha-group intensities. Wave amplitudes on a spherical surface near the nucleus are given for all eight cases, and the radial variation throughout the barrier region is given for two cases. The matrix formalism of Froman is employed in another presentation of the results, and a comparison is made with the analogous Froman matrix. By using a modified Froman matrix together with our results, the alpha-wave distributions are calculated for a spheroidal nuclear interaction surface. A discussion is made of conditions for the existence of solutions satisfying boundary conditions imposed by alpha-group intensities, and the quadrupole phase shift problem is considered. (auth)
- Research Organization:
- Unif. of California, Berkeley
- NSA Number:
- NSA-12-008036
- OSTI ID:
- 4344129
- Journal Information:
- Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D, Journal Name: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D Vol. Vol: 109; ISSN PHRVA
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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