Inelastic proton scattering exciting the. gamma. -vibrational band in deformed nuclei (152 less than or equal to A less than or equal to 192) at 65 MeV and the systematics of the hexadecapole (Y/sub 42/) strength of the. gamma. vibration
Inelastic scattering exciting the 2/sup +/ and 4/sup +/ members of the K/sup ..pi../ = 2/sup +/ ..gamma..-vibrational band in /sup 152,154/Sm, /sup 160/Gd, /sup 164/Dy, /sup 166,168/Er, /sup 176/Yb, /sup 182,184/W, and /sup 192/Os has been measured with 65-MeV polarized protons. Coupled-channel analyses have been performed assuming the ..gamma..-vibrational model or the asymmetric rotor model. A large hexadecapole (Y/sub 42/)= term in the ..gamma.. motion is necessary in both models in order to reproduce the experimental data. The quadrupole (Y/sub 22/) and hexadecapole (Y/sub 42/) transition strengths to the ..gamma..-vibrational band have been extracted systematically from the optical potential parameters and the deformation parameters for the first time. These show a strong mass number dependence, and can be understood qualitatively by a simple geometrical picture together with the quadrupole (Y/sub 20/) and hexadecapole (Y/sub 40/) moments. The experimental Y/sub 22/ and Y/sub 42/ strengths have been compared with a random-phase-approximation calculation. This suggests the importance of the hexadecapole degree of freedom in the ..gamma.. vibration. A density-dependent Hartree-Fock calculation explains the quadrupole (Y/sub 20/) moments and the trend of the hexadecapole (Y/sub 40/) moments of the deformed optical potentials very well. The effect of the density dependence of the effective interaction is also discussed through the Y/sub 20/ moments and Y/sub 22/ strengths.
- Research Organization:
- Department of Physics, Kyoto University, Kyoto 606, Japan
- OSTI ID:
- 5798876
- Journal Information:
- Phys. Rev. C; (United States), Vol. 36:5
- Country of Publication:
- United States
- Language:
- English
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SAMARIUM 152 TARGET
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TUNGSTEN 182 TARGET
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NUCLEAR REACTIONS
NUCLEI
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RARE EARTH ISOTOPES
RARE EARTH NUCLEI
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