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Wobbling Motion in Triaxial Superdeformed Nuclei

Wobbling Motion in Triaxial Superdeformed Nuclei. Masayuki Matsuzaki. Fukuoka University of Education. based on MM, Shimizu and Matsuyanagi, PR C65, 041303(R) and C69, 034325. Shell gap  stable configurations. Superdeformation. single particle energy. 2:1. 2. deformation.

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Wobbling Motion in Triaxial Superdeformed Nuclei

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  1. Wobbling Motion in Triaxial Superdeformed Nuclei Masayuki Matsuzaki Fukuoka University of Education based on MM, Shimizu and Matsuyanagi, PR C65, 041303(R) and C69, 034325

  2. Shell gap  stable configurations Superdeformation single particle energy 2:1 2 deformation

  3. Shell gaps in Nilsson diagram at neutron proton  Suggest triaxial superdeformation (TSD) around

  4. γ deformation in rotating systems

  5. -----γ～+20゜ TSD ND 2 -----γ～-20゜ TSD 2 R.Bengtsson, http://www.matfys.lth.se/~ragnar/TSD-ensyst.html

  6. TSD (γ>0)TSD(γ<0)ND R.Bengtsson, http://www.matfys.lth.se/~ragnar/TSD-ensyst.html

  7. Triaxial  rotations about 3 axes are possible  wobbling “phonon” rot

  8. TSD1: 0 phonon (yrast) TSD2: 1 phonon TSD3: 2 phonon TSD4: another conf.

  9. γ～+20゜ contradicts irrotational ?

  10. Rotating odd-mass nucleus can be regarded as “rotor plus 1qp” • 1qp also carries moment of inertia • Thus, inertia of the whole system should be considered (in contrast to PRM)

  11. Irrotational + QP align   wobbling allowed

  12. 163 Lu Not ∝ω Automatically ! rot ω -dependent rot (If inertia are constant, )

  13. 163 Lu Extremely collective as an RPA solution but …

  14. Parameterizations of triaxial deformation γ(dens)=20°rather than γ(Nils)=20° resolves discrepancy in B(E2) ratio

  15. TSD1: 0 phonon (yrast) TSD2: 1 phonon TSD3: 2 phonon TSD4: another conf.

  16. 2 phonon 1 phonon indicates softening of potential  Removal of 1qp makes wobbling unstable

  17. Summary • ΔJx from QP alignment superimposed on irrot.-like inertia brings Jx > Jy for γ>0 --- This assures the existence of wobbling exc. • Wobbling mode in 163Lu is naturally described semi-quantitatively in terms of RPA • Anharmonicity of 2-phonon states suggests softening of potential surface

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