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PACS numbers: 21.10Re, 21.60.Ev, 23.20.Lv, 27.60+j

Keywords: Ùþ˜ìøÍ6£x118Sn(6Li, 4n)120I, c”¤èl yŒ™‚ ìrF g†<Æ, Ùþ˜½¨›¸, |9éߖ {, ’<H@/gA s׿ {, TRS >íߖ, q

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(a) (b)

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asymmetric carbon (chiral carbon)

Fig. 2. A cholestric liquid crystal molecule and its left- handed chiral symmetry.

l

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The chiral symmetry of the mean field of a rotating triaxial reflection symmetric nucleus.

The axis of rotation (z) is marked by the circular arrow.

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l

s s

i i

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Fig. 3. The chiral symmetry in a rotational reflection asymmetric nucleus (left side) and the associated rota- tional bands (right side).

6Li

118Sn

Fusion Heavy-Ion Beam

Target

Evaporation

Gamma-ray emission

g g g

g g g

n n n

n

120I

120I

124I

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118

Sn +

6

Li reaction.

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‚ Ã

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+

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119,121

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 TRS (Total Routhian Surface) > í ß –`  ¦ # Œ · ú ˜ ˜ Ѐ Œ ¤



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2

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11/2

vh

11/2

C 0 A\  @ /ô  Ç TRS — ¸+ þ A > í ß –\    Ø

Ԁ  , 1   {   H ± ú “ É r y Œ •”  1 l xà º % ò % i , ~ω < 0.24 MeV,\ 

"

f β

2

∼ 0.21, γ ∼ +15

\  ¦ ° ú   H  Œ ™» ¡ ¤q @ /g A   + þ A— ¸€ ª œ (triaxial deformed shape)`  ¦ ° ú   H  כ Ü ¼– Ð · ú ˜ 9& ’ Ü ¼ 9 γ





+ þ A\  @ / # Œ @ /é ß –y  ´ ú ˜| ½ Ó´ ú ˜| ½ Óô  Ç (soft)  כ Ü ¼– Ð   z Œ ¤



 [11]. D1 {   H 1   { \  q K  €  • 250 keV & ñ • ¸ Z  }“ É r [ þ t

>

p

u \  -t \  ¦ ° ú   H . s  Qô  Ç \  -t  s   H כ ¹š ¸× ¼˜ Ð  Á

º î  r f . Ëà º-f . Ëà º Ù þ ˜[ þ t“   Cs, La, Pr, Pm Ù þ ˜[ þ t\ " f ˜ Ðs 





H s ×  æ { [ þ t_  \  -t  ç ß –  õ  q 5 p wô  Ç Ã ºu s   [13,14].

Fig. 8“ É r

120

I,

124

Cs [15],

132

Pr [14],

136

Pm [16] Ù þ ˜[ þ t\ 

"

f ˜ Ðs   H πh

11/2

vh

11/2

C 0 A\  _ ô  Ç s ×  æ { [ þ t ç ß –_  \ 



-t  s  ì  rŸ í\  ¦    · p .

132

Pr Ù þ ˜`  ¦ ] jü @ €   Ä »+ þ A s

 q 5 p w† < Ê`  ¦ · ú ˜ à º e ”   HX < כ ¹š ¸× ¼˜ Ð  Z  }“ É r | 9 | ¾ Óà º_  Ù þ ˜ [

þ

t\ " f      H 0 Aü < ° ú  “ É r s ×  æ { [ þ t“ É r ’ < H@ /g A$ í s ×  æ {

– Ð K $ 3 ÷ &“ ¦ e ”  . ô  Ǽ #  0 Aü < ° ú  “ É r Ù þ ˜[ þ t“ É r ×  æ$ í   à º ü

< € ª œ$ í   à º ° ú  “ É r, 7 £ ¤ N-Z=14“   Ù þ ˜[ þ ts  .

Fig. 9  H 0 A\ " f ƒ  / å L ) a Ù þ ˜[ þ t_  s ×  æ { [ þ t\  @ /ô  Ç y Œ • î



r1 l x| ¾ Ó\    É r \  -t     o, 7 £ ¤ [E(I)-E(I-1)]/2I_  ° ú כ[ þ t

`



¦    · p . y Œ •î  r1 l x| ¾ Ó\  @ /ô  Ç s  Qô  Ç \  -t  ì  rŸ í  H ’ < H

@

/g A$ í `  ¦ { 9 Ü ¼v   H  ï# Q Ù þ ˜, € ª œ$ í  , ×  æ$ í  \  _ ô  Ç y Œ •î  r 1

l

x| ¾ Ó 7 ˜' _   © œ  ñ f ” “ §$ í õ  › ' aº  ÷ &  H  כ Ü ¼– Ð · ú ˜ 94 R e ” 



.

s

X O >  s ×  æ { [ þ t\ " f ˜ Ðs   H \  -t  s  x 9 y Œ • î



r1 l x| ¾ Ó\  @ /ô  Ç \  -t     o_  Ä » $ í “ É r

120

I_  D1 { 

 πh

11/2

vh

11/2

C 0 A\  @ /ô  Ç s ×  æ  © œI \  ¦ Ä »µ 1 Ïr v   H

’

<

H@ /g A$ í \  _ ô  Ç  © œ@ / {  “ ¦ ½ + É Ã º e ”  . s  Qô  Ç ] j î

ß

–“ É r  6 £ §õ  ° ú  “ É r [ j   P : Ó ü to & h  ‰ & ³ © œ, 7 £ ¤ „   l 4 Ÿ ¤



 „  s Ö  ¦ (electromagnetic reduced transition ratios)“   B(M1)/B(E2)_  Ä » $ í \ " f  8¹ ¡ ¤ [ O 1 p q`  ¦ % 3   H . Fig.

10“ É r 0 A\ " f ƒ  / å L ) a Ù þ ˜[ þ tõ 

120

I_  s ×  æ { [ þ t_  y Œ •î  r1 l x

(4)

120 I

53 67

3549.6

2677.2

2557.5

250.4

3 8 3 .4

217.1

3 8 0 .6 3 3 3 .4

107.5 199.2

158.7

112.3

11 0.6 223.1 58.8

98.4 315.5

46.6 41.1

116.1

412

213.6

.2

(9 )

+

(10 )

+

(10 )

+

(16 )

+

(18 )

+

(20 )

+

(16 )

+

(15 )

+

(17 )

+

(15 )

+

(14 )

+

(14 )

+

(11 )

+

(11 )

+

(12 )

+

(12 )+

(13 )

+

(13 )

+

(8 )

+

(7 )

+

(6 )

+

(3 )

+

(5 )

+

(4 )

+

(7 )

_

(16 )

_

(18 )

_

(16 )

_

(15 )

_

(14 )

_

(14 )

_

(13 )

_

(12 )

_

(12 )

_

(11 )

_

(10 )

_

(10 )

_

(9 )

_

(2 )

_

(8 )

_

(8 )

_

226.1 202.3 246.0 143.6 127.1 58.8

58.8

290.6 398.1

166.9

449.3

1140.6 1956.0

923.5

648.5

1008.5 3241.3

2263.9

1412.5

1745.9

1327.1

1300.8

791.3 755.2 856.1 2881.4

3435.4

2873.8

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1561.6

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3972.7 5040.1 5912.0

4469.5

27.4 108.1 13.5

123.7

72.3

80.7 132.6 86.0

118.6 117.7 66.6

184.4

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36.1100.9

498.5

314.2 431.9 327.2

388.5

5 6 5 .5 4 5 8 .0 5 7 1 .1

3 6 0 .0 4 4 4 .7

3 3 1 .6 5 1 5 .8

5 4 8 .5 6 0 6 .7 9 5 6 .0

9 5 7 .7

3

56.2 34 9.2

292.8 35

1.3

223.5

7 1 9 .6 7 9 9 .7

8 1 1 .6 9 0 4 .4 8 9 7 .8

8 4 5 .6

5 5 4 .0

7 1 4 .0

6 3 3 .8

582.6

7 0 5 .4 6 4 4 .1

5 8 9 .0

3 1 8 .6

64.8

113.1 234.5

3 5 4 .5 3 1

3 .2 4 0 6 .4

245 .7

5 5 3 .1 6 6 7 .7 6 5 2 .1 1 0 9 1 .3

1 0 2 2 .3 1 0 6 7 .4

8 9 0 .7 8 7 1 .9

9 1 9 .9

9 7 7 .4

9 9 2 .1

8 5 1 .4 7 6 4 .0 7 2 1 .2 8 7 2 .2 8 1 5 .4 7 4 2 .5

6 3 2 .9 6 7 2 .1 7 8 6 .4

6 9 1 .3 4 9

2 .1

5 7 4 .8 6 4 2 .0

T

1/2

= 81 min T

1/2

= 244 ns

T1/2= 9.2 ns

1

D1

5

3

2

4

Fig. 5. Partial level scheme of

120

I as obtained from the present work. Transition and excitation energies are given in keV. The widths of the arrows are proportional to the relative intensities of γ-ray transitions.

|

¾

Ó\  @ /ô  Ç B(M1)/B(E2) q Ö  ¦ ° ú כ[ þ ts  . › ' a8 £ ¤ ) a

120

I_  s

×  æ { [ þ t\  @ /ô  Ç B(M1)/B(E2) q Ö  ¦_  — ¸_ þ v“ É r ’ < H@ /g A

$ í

_  $ í | 9 `  ¦    · p “ ¦ ½ + É Ã º e ”  .

s

p  " f : r\ " f ƒ  / å L`  ¦ Ù þ ¡t ë ß –, ’ < H@ /g A$ í \  e ” # Q s 



©

œ& h “   — ¸_ þ v“ É r | 9 | ¾ Óà º 130   H% ƒ_  Ù þ ˜[ þ t“    â Ä º h

11/2

C

• ¸\  e ”   H € ª œ$ í  _  { 9   (particle)ü < ×  æ$ í  _  ½ ¨" í

(hole)s   Œ ™» ¡ ¤q @ /g A   + þ A  ï# Q\    ½ + Ë÷ &  H + þ AI s  . s 



Qô  Ç   õ  s ×  æ { [ þ t“ É r  _  \  -t  ° ú  “ É r  © œI [ þ t`  ¦ ° ú 





H “ ¦ ½ + É Ã º e ”  . Õ ª Q  ×  æ$ í   à º N=67`  ¦ ° ú   H

120

I

“



  â Ä º þ jü @y Œ • ×  æ$ í    H ½ ¨" í $ í | 9 `  ¦ ° ú   H  כ s   m  



z  ´ © œ ï  r{ 9   (quasiparticle)_  $ í | 9 `  ¦ ° ú   H . s  Qô  Ç

&

h

“ É r ’ < H@ /g A$ í s ×  æ { [ þ t`  ¦ ° ú   H  כ Ü ¼– Ð · ú ˜ 94 R e ”   H | 9 

(5)

0 100 200 300 400 500 0

500 1000 1500 2000

113 127 133 144 184 246

202

118

65 223

101

86 235

140 214

124 178

158 168

98

0 20 40 60

113 127 158

133 144 212 254

184

124 202 246

65 138

86 98 223

168

118

108

0 500 1000

1500 124

81 113108 159 168 199

133127 202 235

65 246

208

98 144 184 254

86

(a) 59-keV gate (+/- 140 ns)

(b) 59-keV gate (early delayed 150-850 ns)

(c) 72-keV gate (early delayed 150-850 ns)

Channel Number

C o u n ts /C h a n n e l

*

*

Fig. 6. (a) γ rays in a prompt coincidence with the 59- keV transition. (b) and (c) γ rays in an early delayed (150-850 ns) coincidence with the 59-keV transition and the 72-keV transition, respectively. Energies are given in keV and the peaks labeled with asterisks are contam- inants from other nuclei.

0 500 1000 1500

0 5000 10000 15000 20000 1

24

81 319

235

65 553 566

112 668

355 389

144 246

203 589

159 184 652

313293 332 406 601

223 432 720

516

1000 1100 1200 1300 1400

0 500 1000 1500 2000 2500

652

601 720

589

553 566 615

516 560 644

607

549 575 705

668

642

Channel Number

C o u n ts /C h a n n e l

Fig. 7. Coincidence spectrum representing the γ-ray transitions belonging to bands 1 and D1 when gating on the 113-keV transition. The peaks indicated with the arrows represent the transitions in the states of band D1 and the peaks indicated with the asterisks correspond to the inter-transitions between band 1 and band D1.

Energies are given in keV.

|

¾

Óà º 130   H% ƒ_  Ù þ ˜[ þ t : £ ¤y 

124

Cs (N = 69),

126

Cs (N = 71)_   â Ä ºü <  Å Ò q 5 p w  “ ¦  ’ x  [14,17].

þ

j  H Meng 1 p x“ É r ï  r€ ª œ$ í  -ï  r×  æ$ í    Œ ™» ¡ ¤q @ /g A  r

„



 \    ½ + ˝ ) a { 9    r„      ½ + Ë — ¸+ þ A (PRM; particle ro- tor model)`  ¦  „ ½ ÓÜ ¼– Ð | 9 | ¾ Óà º 130   H% ƒ_  πh

11/2

vh

11/2

s

×  æ { [ þ t`  ¦ ƒ  ½ ¨ % i   [17,18]. Õ ª[ þ t“ É r y Œ •î  r1 l x| ¾ Ó_  t 

120

I

136

Pm

132

Pr

124

Cs

E n e rg y s e p a ra ti o n ( k e V )

10 11 12 13 14 15 16 17 18 19 100

200 300 400 500

Angular Momentum I (h)

Fig. 8. Energy separation between the πh

11/2

νh

11/2

bands and their side bands in

120

I (squares),

124

Cs (cir- cles),

132

Pr (triangles), and

136

Pm (diamonds) nuclei.

It is noted that these nuclei have the same number of proton-neutron difference, namely N - Z = 14.

11 12 13 14 15 16 17 6

8 10 12 14 16 18

11 12 13 14 15 16 17 6

8 10 12 14 16 18

11 12 13 14 15 16 17 6

8 10 12 14 16 18

11 12 13 14 15 16 17 18 19 6

8 10 12 14 16 18

Angular Momentum I (h)

[E (I )- E (I -1 )] /2 I ( k e V /h )

120

I

124

Cs

132

Pr

136

Pm

Fig. 9. Energy staggering in the form of [E(I) - E(I- 1)]/2I versus angular momentum I for the main πh

11/2

νh

11/2

bands (squares) and their side bands (circles) in

120

I,

124

Cs,

132

Pr, and

136

Pm nuclei.

†

¾

Ó$ í , \  -t  s , „   l 4 Ÿ ¤  „  s Ö  ¦ 1 p x`  ¦ €  x 9 y  ì  r

$ 3

K ‘ : r   õ  l  † < Æ& h  ’ < H@ /g A$ í “ É r í  Hà º { 9  -½ ¨" í C 0 A

\

" f # Á # Qè ß – Ù þ ˜ [ þ t\  @ /K " f• ¸ Ä »t  ) a   H  z  ´`  ¦ µ 1 ß )

€? /% 3  . Õ ªo “ ¦ s ×  æ {  ç ß –_  \  -t  s   H  ï# Q

γ = 30

_  — ¸_ þ v\ " f # Á # Q    { 9  -½ ¨" í C 0 A– ÐÂ Ò '

 # Á # Qè ß – Fermi ï  r0 A– РÒ'  l “   ) a   H  כ e ” `  ¦ µ 1 ß+ À I .

s

M : s ×  æ { [ þ t\ " f_  B(M1)/B(E2)  H ×  æ$ í  _  ` …Ø Ôp  ï



r0 A Ω

n

= 11/2 ∼ 7/2  s \  Z  ~{ 9  M :  H  _  1 l x{ 9  ô



Ç ° ú כ[ þ t`  ¦ ° ú   H “ ¦ % i  .   " f

124

Csõ 

126

Cs\ " f

%

ƒ! 3 ,

120

I\ " f µ 1 Ï|  ) a s ×  æ {   H h

11/2

C • ¸_  € ª œ$ í   { 9 



ü < ï  r×  æ$ í   γ = 30

˜ Ð  ± ú “ É r y Œ ™    + þ A_   Œ ™» ¡ ¤ q

@ /g A  ï# Q\    ½ + Ë÷ &# Q      H ’ < H@ /g A$ í {  “ ¦ ^  ¦

(6)

12 13 14 15 16 0

1 2 3 4

Angular Momentum, I band 2

band 1

2 N

B (M 1 )/ B (E 2 ) ( /e b ) m

Fig. 10. Reduced electromagnetic ratios, namely B(M1)/B(M2) values for the main πh

11/2

νh

11/2

band (band 1; squares with solid line) and its partner band (band D1; circles with dashed line) in

120

I.

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º e ”  . ô  Ǽ #  Koike 1 p x[14]“ É r Cs 1 l x0 A" é ¶™ è[ þ t\  e ” # Q ×  æ

$ í

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



H “ ¦ % i  .  =  €  

128

Csõ  q “ § # Œ

124,126

Cs\ 

"

f_  β

2

  + þ A_  7 £ x ï  r×  æ$ í  _  q f ” “ § y Œ •î  r1 l x| ¾ Ó   

½ +

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ª  X <, # Œl " f y © œ› ¸ “ ¦ z  ·“ É r  כ “ É r Cs Ù þ ˜[ þ tõ   H ² ú ˜ o

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120

I\ " f_  D1 { 

 Ä »{ 9 ô  Ç s ×  æ {    H  z  ´s  . f . Ëà º-f . Ëà º I Ù þ ˜[ þ t\ " f _

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11/2

vh

11/2

{ [ þ t_  ^ ‰> $ í \   Ø Ô€   [11],

122−126

I _

 πh

11/2

vh

11/2

{ [ þ t“ É r  r„  $ í `  ¦ ° ú   H  כ s   m   Te Ù

þ

˜\ " f ˜ Ðs   H ”  1 l x_  ½ ¨› ¸\  ¦ ° ú   H .   " f s X O >   © œ

@

/& h Ü ¼– Ð Á º î  r Ù þ ˜[ þ t\ " f  H  r„  \  _ ô  Ç ’ < H@ /g A$ í s 

×



æ {    ± ú ˜ à º \ O    H    : r`  ¦ ? /w n = à º e ”  . s ü <

ì ø

̀  \ 

118

I[19]õ 

116

I [20] Ù þ ˜[ þ t_  πh

11/2

vh

11/2

{ [ þ t“ É r

„



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11/2

vh

11/2

C 0 A\  l ì ø Ís   ) a # Q* ‹ô  Ç s ×  æ { • ¸ µ 1 Ï| 

÷

&t  · ú §  H . s  כ “ É r f . Ëà º-f . Ëà º I Ù þ ˜[ þ t\ " f  H N=67 s   _

 þ jü @y Œ • ×  æ$ í    H ’ < H@ /g A$ í \  l # Œ t  · ú §  H “ ¦ ^  ¦ Ã

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V. + s Ç Â ] Ø

y

Œ

™ ‚   ì  rF g† < Æ`  ¦ : Ÿ x # Œ Ä ºo   H

120

I_  ´ ú §“ É r ï  r0 A[ þ t`  ¦ µ

1

Ï|  % i  .  6   x ) a ì ø Í6 £ x“ É r

118

Sn(

6

Li, 4n)

120

I s % 3 “ ¦ c ” 

\

 -t   H 48 MeV% i  .

120

I_  ´ ú §“ É r ï  r0 A ×  æ 10

+

ï  r0 A\ 

"

f + þ A$ í ÷ &  H | 9 é ß –$ í [ þ t›  H  © œI [ þ ts  πh

11/2

vh

11/2

C 0 A\  _

ô  Ç  r„  $ í { e ” `  ¦ µ 1 ß+ À I .  8¹ ¡ ¤s  πh

11/2

vh

11/2

{ \ 

@

/ô  Ç Š © œÑ ü æs  {  µ 1 Ï| ÷ &% 3   HX < f . Ëà º-f . Ëà º I Ù þ ˜[ þ t\ " f  H

%

ƒ6 £ §Ü ¼– Ð µ 1 Ï|  ) a s ×  æ { s  . s  Qô  Ç s ×  æ {   H  6 £ § õ

 ° ú  “ É r $ í | 9 `  ¦   ? /% 3  . \  -t  ç ß –  “ É r @ /^ ‰– Ð 250 keV\  ¦ Ä »t   9, Å Ò# Q”   y Œ •î  r1 l x| ¾ Ó\ " f_  \  -t     o, 7

£

¤ [E(I)-E(I-1)]/2I_  ° ú כõ  B(M1)/B(E2) ° ú כ[ þ ts  ’ < H@ /g A

$ í

s ×  æ { \  ¦ ° ú   H Cs, La, Pr 1 p x\ " f      H ° ú כ[ þ tõ  q

5 p w  .   " f 0 Aü < ° ú  “ É r ’ < H@ /g A$ í s ×  æ { [ þ t\ " f  

   H { 9 ì ø Í& h “   Ó ü to & h  $ í | 9 `  ¦ ˜ Ðs   H  כ “ É r Ä ºo  µ 1 Ï

|

ô  Ç D1 {  ’ < H@ /g A  r„  $ í \  _ ô  Ç 1   { _  Š © œÑ ü æs  {  (twin band)e ” `  ¦ ´ ú ˜K Šғ ¦ e ”  .

P c

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Doublet Rotational Bands in Odd-odd 120 I

C.-B. Moon

Department of Display Engineering, Hoseo University, Chung-Nam 336-795 (Received 2 January 2008)

The excited states of the doubly odd

120

I nucleus have been studied by using in-beam gamma-ray spectroscopy with the

118

Sn(

6

Li, 4n)

120

I reaction at E

lab

= 48 MeV. The beam provided by the 14UD Pelletron accelerator at the Australian National University was a 1-ns pulsed beam with a pulse separation of 1.7 µs. We established several collective bands associated with different proton and neutron quasiparticle configurations. Among them, a positive-parity collective band built on the 10

+

state and its side band with the same parity were observed to associated with the πh

11/2vh11/2

configuration. The side band is thought to be a candidate for the chiral twin band, leading to a doubling of states for this πh

11/2vh11/2

configuration.

PACS numbers: 21.10Re, 21.60.Ev, 23.20.Lv, 27.60+j

Keywords: Nuclear reactions118Sn(6Li, 4n)120I, In-beam gamma ray spectroscopy, Nuclear structure, Col- lective bands, Chiral doublet bands, Total routhian surface calculations, Cranked shell model

E-mail: [email protected]

수치

Fig. 1. Various rotational types in a prolate shape nu- nu-cleus. { _  ”&gt; rF \ ¦ 7 Hô Ç 
Fig. 5. Partial level scheme of 120 I as obtained from the present work. Transition and excitation energies are given in keV
Fig. 8. Energy separation between the πh 11/2 νh 11/2 bands and their side bands in 120 I (squares), 124 Cs  (cir-cles), 132 Pr (triangles), and 136 Pm (diamonds) nuclei.
Fig. 10. Reduced electromagnetic ratios, namely B(M1)/B(M2) values for the main πh 11/2 νh 11/2 band (band 1; squares with solid line) and its partner band (band D1; circles with dashed line) in 120 I.

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