Weak-Coupling Model for Pb212 and Pb204
Institutional Repository Document
Overview
Research
Identity
Other
View All
Overview
abstract
The weak-coupling model is applied to the study of the low-lying states of Pb212 and Pb204. We first obtain the phonon states of Pb210 and Pb206 by shell-model calculations. The states of Pb212 (Pb204) are then obtained by solving the eigenvalue problem in a truncated Hilbert space consisting of a small number of basis vectors, each of which is a product of two phonon states of Pb210 (Pb206). A canonical transformation is used to orthonormalize these two-phonon basis vectors. The energies as well as the wave functions of many low-lying states of Pb212 (Pb204) given by the exact shell-model calculations are reproduced surprisingly well by the weakcoupling model where only three or four low-lying Pb210 (Pb206) phonons are included. [NUCLEAR STRUCTURE Pb212, Pb204; energies and wave functions calculated in terms of the Pb210 and Pb206 phonons.] 1973 The American Physical Society.