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Nuclear Wobbling Motion and Related Topics

Nuclear Wobbling Motion and Related Topics. Masayuki Matsuzaki. References. RPA calculation:. MM, Y.R.Shimizu and K.Matsuyanagi, PRC 65 , 041303(R) (2002) 69 , 034325 (2004). TAC calculation:. MM and S.-I.Ohtsubo, PRC (2004), in press. Introduction.

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Nuclear Wobbling Motion and Related Topics

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  1. Nuclear Wobbling Motion and Related Topics Masayuki Matsuzaki

  2. References RPA calculation: MM, Y.R.Shimizu and K.Matsuyanagi, PRC 65, 041303(R) (2002) 69, 034325 (2004) TAC calculation: MM and S.-I.Ohtsubo, PRC (2004), in press

  3. Introduction • Theory predicts Triaxial SuperDeformation at Lu-Hf region --- γ～+20゜is more favorable • Its decisive evidence is wobbling motion --- Largest Jx for γ＞0 ?

  4. Shell gaps in Nilsson diagram n p

  5. γ deformation in rotating systems

  6. TSD ND TSD R.Bengtsson, http://www.matfys.lth.se/~ragnar/TSD-ensyst.html

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

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

  9. γ～+20゜ contradicts irrotational ?

  10. Inertia of the whole system • Cranking model treats the “rotor” (0QP) part and aligned QP(s) on the same footing • So does RPA …

  11. Irrotational + QP align  Jx > Jy

  12. 168 Hf (low spin) Irrot.-like γ-rev.-like Rigid- like

  13. 163 Lu Not ∝ω Automatically ! rot ω -dependent rot

  14. 163 Lu Extremely collective as an RPA solution but …

  15. 168 Hf (low spin) Exists at Δ0 … contrastive to β and γ vib.

  16. Summary (1) • ΔJx from QP alignment superimposed on irrot.-like inertia brings Jx > Jy for γ>0 • Wobbling mode in 163Lu is naturally described semi-quantitatively but collectivity is insufficient • Wobbling mode survives when pairing gap  0 in contrast to β and γ vib.

  17. 146 Gd

  18. z y x (rot. axis) Flat Tilted !

  19. θ

  20. 2 phonon 1 phonon

  21. 163 162 Lu (1QP) Yb (0QP) z y x Shallow Tilted !

  22. Summary (2) • Instability of wobbling leads to tilted axis rotation --- “Phase transition” • Correspondence between RPA and TAC is good • Anharmonicity in 2 phonon wobbling suggests softening of potential surface

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