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Experimental evidence for Chirality. S. Frauendorf. IKH, Forschungszentrum Rossendorf, Dresden Germany. Department of Physics University of Notre Dame USA. In collaboration with. J. Meng, PKU V. Dimitrov, ISU F. Doenau, FZR U. Garg, ND K. Starosta, MSU S. Zhu, ANL. - PowerPoint PPT Presentation
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Experimental evidence for ChiralityS. Frauendorf
Department of Physics
University of Notre Dame
USA
IKH, Forschungszentrum
Rossendorf, Dresden
Germany
In collaboration withJ. Meng, PKUV. Dimitrov, ISUF. Doenau, FZRU. Garg, NDK. Starosta, MSUS. Zhu, ANL
Consequence of chirality: Two identical rotational bands.
The prototype of a chiral rotor
Frauendorf, Meng, Frauendorf, Meng, Nucl. Phys. A617, 131 (1997Nucl. Phys. A617, 131 (1997) )
Particle – Rotor model:
Frauendorf, Meng, Nuclear Physics A617, 131 (1997)Frauendorf, Meng, Nuclear Physics A617, 131 (1997)
Doenau, Frauendorf, Zhang, PRC , in preparation
312 ,
Dynamical (Particle Rotor) calculation
Chiral vibration
Frozen alignment approximation:
They are numbers
One dimensional -very well suited for analysis.
312 44 JJJ
chiralvibration
chiralrotation
jJ crit 3
24
out
in
out
out
in
in
yrast yrare
out
in
312 ,
Dynamical (Particle Rotor) calculation
Chiral vibration
chiralregime
2/112/11 21 jj
8 10 12 14 16 18 20 22 24 26 28 300.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
1.1
1.2
1.3
1.4
=90o
E2-
E1
I
omega1 E2E1
rotEE 3.012
10 12 14 16 18 20 22
0.0
0.1
0.2
0.3
0.4
=90o
1->1 1->2 2->1 2->2
B(E
2,I-
>I-
2)
I
8 10 12 14 16 18 20 22-0.5
0.0
0.5
1.0
1.5
2.0
2.5
3.0
3.5
4.0
=90o
1->1 1->2 2->1 2->2
B(M
1,I-
>I-
1)
I
8 10 12 14 16 18 20 22
0.0
0.1
0.2
0.3
0.4
0.5
=90o
1->1 1->2 2->1 2->2
B(E
2,I-
>I-
1)
I
band 2 band 1134Pr
h11/2 h11/2
10 12 14 16 18 20 220
100
200
300
400
500
600
700
800
900
1000
backbend
134Prexperiment
E2-
E1
I
E2E1 omega1
10 15 20 250.0
0.2
0.4
0.6
0.8
1.0
=90o 1:2E
2-E
1
I
omega1 E2E1
2/192/11 21 jj
10 15 20 25
0.00
0.05
0.10
0.15
0.20
0.25
0.30 =90o 1:2B
(E2
,I->
I-1
)
I
BE2u(11) BE2u(12) BE2u(21) BE2u(22)
10 15 20 25
0
1
2
3
4
5
=90o 1:2
B(M
1,I-
>I-
1)
I
BM1(11) BM1(12) BM1(21) BM1(22)
10 15 20 25-0.05
0.00
0.05
0.10
0.15
0.20
0.25
0.30
0.35
0.40 =90o 1:2
B(E
2,I-
>I-
2)
I
BE2s(11) BE2s(12) BE2s(21) BE2s(22)
Microscopic moments of inertia
Cranking of the core about the 3 axes
1:4:1:: 321 JJJIrrotational flow
1:55.3:52.1:: 321 JJJ
o3018.0
10 12 14 16 18 20 220
100
200
300
400
500
600
700
800
900
1000
PR + TAC
E2-
E1
I
E2E1 omega1
10 12 14 16 18 20 220
100
200
300
400
500
600
700
800
900
1000
backbend
134Prexperiment
E2-
E1
I
E2E1 omega1
10 12 14 16 18 20 220.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
1.8
2.0
PR + TAC
B(M
1,I-
>I-
1)
I
BM111 BM112 BM121 BM122
10 12 14 16 18 20 22
0.0
0.1
0.2
0.3
0.4
0.5
0.6
PR + TAC
B(E
2,I-
>I-
2)
I
BE2s11 BE2s12 BE2s21 BE2s22
10 12 14 16 18 20 220
100
200
300
400
500
600
700
800
900
1000
PR + TAC
E2-
E1
I
E2E1 omega1
10
12
13
14
15
16
17
18
19
11 10
12
13
14
15
16
17
18
19
11
112 2
10 15 20 25
0
1
2
3
4
5
=80o
B(M
1,I-
>I-
1)
I
BM1(11) BM1(12) BM1(21) BM1(22)
10 12 14 16 18 20 22 240.0
0.1
0.2
0.3
0.4
0.5
=80o
B(E
2,I-
>I-
2)
I
BE2s(11) BE2s(12) BE2s(21) BE2s(22)
10 15 20 250.0
0.1
0.2
0.3
0.4
0.5
=80o
B(E
2,I
->I-
1)
X Axis Title
BE2u(11) BE2u(12) BE2u(21) BE2u(22)
10 15 20 250.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
=80o
E2-
E1
I
E2E1 omega1
5910445 Rh 2/11
12/9 hg
C. Vaman et alPhys. Rev. Lett.92, 032501 (2004)
10 15 20 25
0.00
0.05
0.10
0.15
0.20
0.25
0.30 =90o 1:2B
(E2
,I->
I-1
)
I
BE2u(11) BE2u(12) BE2u(21) BE2u(22)
10 15 20 25
0
1
2
3
4
5
=90o 1:2
B(M
1,I-
>I-
1)
I
BM1(11) BM1(12) BM1(21) BM1(22)
10 15 20 25-0.05
0.00
0.05
0.10
0.15
0.20
0.25
0.30
0.35
0.40 =90o 1:2
B(E
2,I-
>I-
2)
I
BE2s(11) BE2s(12) BE2s(21) BE2s(22)
S. Zhu et al.Phys. Rev. Lett. 91, 132501 (2003)
Composite chiral band in 7513560 Nd
Chiral sister bands
Representativenucleus I
observed13 0.21 145910445 Rh 2/11
12/9 hg
13 0.21 4011118877 Ir
2/912/9 gg
447935 Br
12/132/13
ii
13 0.21 14
predicted
predicted
9316269 Tm 1
2/112/13ii predicted45 0.32 26
12/112/11
hh observed13 0.18 267513459 Pr
31/37
Chiral vibrator
2/1 2
1
12
12
)()(2/1
2
1
1
222
233
211
IIA
j
Ij
JAjJAjJAH
ii
W
J
JJ
J
[8] K. Starosta et al., Physical Review Letters 86, 971 (2001)
Conclusions
Energy condition rotEE 3.012 met for several cases.
Left-right coupling (LRC) displaces the two bands
LCR makes the transition rates in the two bands somewhat different.Seen in BM1/BE2. Lifetimes needed.
LCR distributes the classical transition strength between intrabandand interband transitions. Sensitive to details. Inter/Intra not a good indicator for chirality.
B(intra)+B(inter) can be compared with classical strength (from TAC).
New regions : A=190, A=162 TSD
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