Interpretation of the Palumbo model of two axial rotators in the microscopic approach
- Bogolyubov Institute of Theoretical Physics, Kiev (Ukraine)
The nuclear model of two axial rotators is interpreted as a generalization of the Elliott SU{sub 3} model. The basis of the latter is extended to the basis of the tensor product SU{sub 3} x SU{sub 3}. For this purpose, the second-order Casimir operator of the SU{sub 3} group is constructed, and its eigenfunctions are found in the explicit form. The probabilities of the isoscalar and isovector M1 and E2 electromagnetic transitions between nuclear states with the quantum numbers ({lambda},{mu}) = (2n,0) and ({lambda},{mu}) = (2n-2,1) are calculated using the microscopic wave functions of the model. The calculated values of the transition probabilities and widths of levels for {sup 8}Be and {sup 20}Ne nuclei are compared with the experimental data. 17 refs., 5 tabs.
- OSTI ID:
- 79214
- Journal Information:
- Physics of Atomic Nuclei, Vol. 57, Issue 12; Other Information: PBD: Dec 1994; TN: Translated from Yadernaya Fizika; 57: No. 12, 2181-2195(1994)
- Country of Publication:
- United States
- Language:
- English
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