Weak-coupling model for $sup 212$Pb and $sup 204$Pb
Journal Article
·
· Phys. Rev., C, v. 8, no. 6, pp. 2379-2389
OSTI ID:4313029
The weak-coupling model is applied to the study of the low-lying states of /sup 206/Pb and /sup 204/Pb. We first obtaim the phonon states of /sup 210/Pb and /sup 206/Pb by shell-model calculations. The states of /sup 212/Pb (/sup 204 /Pb) are them obtained by solving the eigenvalue problem in a truncated Hilbert space consisting of a small number of basis vector, each of which is a product of two phonon states of /sup 210/Pb (/sup 206/Pb). A canonical transformation is used to orthononnalize these two-phonon basis vectors. The energies as well as the wave functions of many low-lying states of /sup 212/Pb (/sup 204/Pb) given by the exact shell-model calculations are reprod uced surprisingly well by the weak- coupling model where only three or four low-lying /sup 210/Pb (/sup 206/Pb) phonons are included. (auth)
- Research Organization:
- Department of Physics, State University of New York, Stony Brook, New York 11790
- NSA Number:
- NSA-29-023001
- OSTI ID:
- 4313029
- Journal Information:
- Phys. Rev., C, v. 8, no. 6, pp. 2379-2389, Journal Name: Phys. Rev., C, v. 8, no. 6, pp. 2379-2389; ISSN PRVCA
- Country of Publication:
- United States
- Language:
- English
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