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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 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 • Theory predicts Triaxial SuperDeformation at Lu-Hf region --- γ~+20゜is more favorable • Its decisive evidence is wobbling motion --- Largest Jx for γ>0 ?
TSD ND TSD R.Bengtsson, http://www.matfys.lth.se/~ragnar/TSD-ensyst.html
TSD (γ>0)TSD(γ<0)ND R.Bengtsson, http://www.matfys.lth.se/~ragnar/TSD-ensyst.html
TSD1: 0 phonon TSD2: 1 phonon TSD3: 2 phonon TSD4: another conf.
Inertia of the whole system • Cranking model treats the “rotor” (0QP) part and aligned QP(s) on the same footing • So does RPA …
168 Hf (low spin) Irrot.-like γ-rev.-like Rigid- like
163 Lu Not ∝ω Automatically ! rot ω -dependent rot
163 Lu Extremely collective as an RPA solution but …
168 Hf (low spin) Exists at Δ0 … contrastive to β and γ vib.
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.
146 Gd
z y x (rot. axis) Flat Tilted !
2 phonon 1 phonon
163 162 Lu (1QP) Yb (0QP) z y x Shallow Tilted !
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