The stability of The stability of triaxial triaxial

superdeformed superdeformed shape in odd-odd shape in odd-odd 160-168160-168Lu isotopesLu isotopes

The stability of The stability of triaxial triaxial

superdeformed superdeformed shape in odd-odd shape in odd-odd 160-168160-168Lu isotopesLu isotopes

Tu YaTu Ya

Outline

• Introduction

• The model

• Results and discussion

• Summery

Introduction

Why ?

TriaxialityTriaxiality

Wobbling modeWobbling mode

TSDTSD

Signature splitting 、 signature inversion 、 chiral band doublets 、 wobbling modeY.S.Chen et al., Phys. Rev.C 28(1983)2439

R. Bengtssen et al.,Nucl. Phys. A 415(1984)189

K.Starosta et al., Phys. Rev. Lett. 86(2001)971

B.Crowell et al., Phys. Rev. Lett. 72(1994)1164

Nuclear shapeNuclear shape

A~80 and A~160 mass region

D.G.Sarantites et al., Phys. Rev. C 57(1998)R1

H.Schnack-Petersen et al., Nucl. Phys. A 594(1995)175

163 Lu (2001) 、 161 ， 165 ， 167 Lu 、 167 Ta (2009)

S.W.Odegard et al., Phys. Rev. Lett. 86(2001)5866

D.J.Hartley et al., Phys. Rev. C 80(2009)041304(R)

175Hf174Hf

161Lu 162Lu 163Lu 164Lu 167Lu165Lu 168Lu

166Hf 168Hf 170Hf 171Hf 173Hf172Hf

167Ta

The model

• Hartree-Fock method

• potential energy surface calculation

TRS method

TES method

PTES method

CSM

PSM

The total routhian as a function of deformations, and , for a given q.p. configuration(c.f.) may be calculated by

Where ELD is liquid drop model energy

Ecorr is the quantal effect correction to the energy, which includes both the shell correction and the pairing correctionErot is the collective rotational energyLast term is the sum of energties of the rotating quasiparticles corresponding to the configuration (c.f.)

,2 4

),(),,()0,,(),(),,( 22222

cfi

irotcorrLD eEEEE

MeVA300 /41,02.0

Results and discussion1. choice of the configurationsCalculated single particle Nilsson

diagram

0,03.04 03.0,4.0 42

2. TRS for a given configuration min

4ε)2/1(2/5]523[)2/1(2/1]530[

The total routhian energy and surfaces of 162Lu with the configuration of

5010,35.02

3. TRS for odd-odd Lu isotopes

0.1 0.2 0.3 0.4 0.5 0.6

-6

-5

-4

-3

-2

-1

0

TSD3 band

Rou

thia

n (

MeV

)

(MeV)

1.12MeV

TSD1 band

Yrast band

0.187=0.0250

1.35MeV

0.177=0.0240

• Experimental routhian for TSD1 and TSD3 in 164Lu

• Comparison the experimental and previous results with our calculated

results

Confirmation of the our calculation

0.93MeV

1.11MeV

20~,4.0~2

4. DiscussionExperimental dynamic moments of inertia

(J(2)),as a function of rotational frequency for the yrast TSD band in odd-even 161-167Lu and the lowest TSD band in odd-odd 162,164,168Lu isotopes

20~,4.0~2

Summary

• The configuration dependent three dimensional TRS calculations have been performed for the odd-odd Lu isotopes and the results have been compared with the wobbling Lu nuclei.

TSD shape remain in these odd-odd Lu

isotopes

20~,4.0~2 20~,4.0~2

There is the similar stability of the superdeformed triaxial shape in odd-

odd Lu isotopes with the odd-A Lu wobbling nuclei.

• The role of the extra neutron added to an odd-A Lu have been investigated.

Thank you !