High spin states Interpretation Ba , 135 La and 135 Ce Nuclei 135 Ba - - PowerPoint PPT Presentation

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High spin states Interpretation Ba , 135 La and 135 Ce Nuclei 135 Ba 135 La 135 Ce of 135 within Cranked Nilsson-Strutinsky Model S. Kaim , 1 , I. Azeri , 1 A. Aboudi, 1 R. Belgharbi, 1 A. Laala 1 1 Universit des Frres Mentouri Constantine1,

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SLIDE 1
  • S. Kaim

ICTP-IAEA Workshop on Nuclear Structure and Decay Data 10 oct. 2018

1Université des Frères Mentouri Constantine1, Algérie

  • S. Kaim,1, I. Azeri, 1 A. Aboudi,1 R. Belgharbi,1 A. Laala 1

High spin states Interpretation

  • f 135

135Ba

Ba, 135

135La

La and 135

135Ce

Ce Nuclei within Cranked Nilsson-Strutinsky Model

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SLIDE 2
  • S. Kaim

ICTP-IAEA Workshop on Nuclear Structure and Decay Data 10 oct. 2018

Outline

1.

  • 1. Introduction

2.

  • 2. Calculation code : CNS

3.

  • 3. Results and discussion

4.

  • 4. Summary

135 35 135 35La

La La La

135 35 135 35Ce

Ce Ce Ce

135 35 135 35Ba

Ba Ba Ba

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SLIDE 3
  • S. Kaim

ICTP-IAEA Workshop on Nuclear Structure and Decay Data 10 oct. 2018

1.

  • 1. Introduction

Introduction

Increasing Angular Momentum and Excitation Energy is one

  • f the most excellent ways to investigate nuclear structure
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SLIDE 4
  • S. Kaim

ICTP-IAEA Workshop on Nuclear Structure and Decay Data 10 oct. 2018

1.

  • 1. Introduction

Introduction

N = 82

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SLIDE 5
  • S. Kaim

ICTP-IAEA Workshop on Nuclear Structure and Decay Data 10 oct. 2018

1.

  • 1. Introduction

Introduction

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SLIDE 6
  • S. Kaim

ICTP-IAEA Workshop on Nuclear Structure and Decay Data 10 oct. 2018

1.

  • 1. Introduction

Introduction

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SLIDE 7
  • S. Kaim

ICTP-IAEA Workshop on Nuclear Structure and Decay Data 10 oct. 2018

1.

  • 1. Introduction

Introduction

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SLIDE 8
  • S. Kaim

ICTP-IAEA Workshop on Nuclear Structure and Decay Data 10 oct. 2018

1.

  • 1. Introduction

Introduction

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SLIDE 9
  • S. Kaim

ICTP-IAEA Workshop on Nuclear Structure and Decay Data 10 oct. 2018

1.

  • 1. Introduction

Introduction

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SLIDE 10
  • S. Kaim

ICTP-IAEA Workshop on Nuclear Structure and Decay Data 10 oct. 2018

1.

  • 1. Introduction

Introduction

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SLIDE 11
  • S. Kaim

ICTP-IAEA Workshop on Nuclear Structure and Decay Data 10 oct. 2018

''Cranked Nilsson-Strutinsky'' [Beng85, Afan99, Carls06].

2.

  • 2. Theoretical Approach

Theoretical Approach : The CNS code : The CNS code

CNS formalisme

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SLIDE 12
  • S. Kaim

ICTP-IAEA Workshop on Nuclear Structure and Decay Data 10 oct. 2018

''Cranked Nilsson-Strutinsky'' [Beng85, Afan99, Carls06].

2.

  • 2. Theoretical Approach

Theoretical Approach : The CNS code : The CNS code

CNS formalisme

[Beng85] T. Bengtsson and I. Ragnarsson, Nucl. Phys. A 436, 14 (1985). [Afan99] A. V. Afanasjev, D. B. Fossan, G. J. Lane, and I. Ragnarsson, Phys. Rep. 322, 1 (1999). [Carls06] B. G. Carlsson and I. Ragnarsson, Phys. Rev. C 74, 011302(R) (2006)

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SLIDE 13
  • S. Kaim

ICTP-IAEA Workshop on Nuclear Structure and Decay Data 10 oct. 2018

''Cranked Nilsson-Strutinsky'' [Beng85, Afan99, Carls06].

2.

  • 2. Theoretical Approach

Theoretical Approach : The CNS code : The CNS code

CNS formalisme

[Beng85] T. Bengtsson and I. Ragnarsson, Nucl. Phys. A 436, 14 (1985). [Afan99] A. V. Afanasjev, D. B. Fossan, G. J. Lane, and I. Ragnarsson, Phys. Rep. 322, 1 (1999). [Carls06] B. G. Carlsson and I. Ragnarsson, Phys. Rev. C 74, 011302(R) (2006)

  • I. Ragnarsson (2012)

(2012)

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SLIDE 14
  • S. Kaim

ICTP-IAEA Workshop on Nuclear Structure and Decay Data 10 oct. 2018

''Cranked Nilsson-Strutinsky'' [Beng85, Afan99, Carls06].

2.

  • 2. Theoretical Approach

Theoretical Approach : The CNS code : The CNS code

CNS formalisme

[Beng85] T. Bengtsson and I. Ragnarsson, Nucl. Phys. A 436, 14 (1985). [Afan99] A. V. Afanasjev, D. B. Fossan, G. J. Lane, and I. Ragnarsson, Phys. Rep. 322, 1 (1999). [Carls06] B. G. Carlsson and I. Ragnarsson, Phys. Rev. C 74, 011302(R) (2006)

  • I. Ragnarsson (2012)

(2012)

My My dee eep gratitude for

r the authors

  • f

f CNS Code des, , part rticularly Prof

  • f. I. Ragnarsson.
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SLIDE 15
  • S. Kaim

ICTP-IAEA Workshop on Nuclear Structure and Decay Data 10 oct. 2018

''Cranked Nilsson-Strutinsky'' [Beng85, Afan99, Carls06].

2.

  • 2. Theoretical Approach

Theoretical Approach : The CNS code : The CNS code

CNS formalisme

[Beng85] T. Bengtsson and I. Ragnarsson, Nucl. Phys. A 436, 14 (1985). [Afan99] A. V. Afanasjev, D. B. Fossan, G. J. Lane, and I. Ragnarsson, Phys. Rep. 322, 1 (1999). [Carls06] B. G. Carlsson and I. Ragnarsson, Phys. Rev. C 74, 011302(R) (2006)

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SLIDE 16
  • S. Kaim

ICTP-IAEA Workshop on Nuclear Structure and Decay Data 10 oct. 2018

''Cranked Nilsson-Strutinsky'' [Beng85, Afan99, Carls06].

2.

  • 2. Theoretical Approach

Theoretical Approach : The CNS code : The CNS code

CNS formalisme

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SLIDE 17
  • S. Kaim

ICTP-IAEA Workshop on Nuclear Structure and Decay Data 10 oct. 2018

''Cranked Nilsson-Strutinsky'' [Beng85, Afan99, Carls06].

2.

  • 2. Theoretical Approach

Theoretical Approach : The CNS code : The CNS code

CNS formalisme

Macroscopic contribution

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SLIDE 18
  • S. Kaim

ICTP-IAEA Workshop on Nuclear Structure and Decay Data 10 oct. 2018

''Cranked Nilsson-Strutinsky'' [Beng85, Afan99, Carls06].

2.

  • 2. Theoretical Approach

Theoretical Approach : The CNS code : The CNS code

CNS formalisme

Macroscopic contribution microscopic correction

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SLIDE 19
  • S. Kaim

ICTP-IAEA Workshop on Nuclear Structure and Decay Data 10 oct. 2018

''Cranked Nilsson-Strutinsky'' [Beng85, Afan99, Carls06].

2.

  • 2. Theoretical Approach

Theoretical Approach : The CNS code : The CNS code

CNS formalisme

Macroscopic contribution microscopic correction

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SLIDE 20
  • S. Kaim

ICTP-IAEA Workshop on Nuclear Structure and Decay Data 10 oct. 2018

''Cranked Nilsson-Strutinsky'' [Beng85, Afan99, Carls06].

2.

  • 2. Theoretical Approach

Theoretical Approach : The CNS code : The CNS code

CNS formalisme

Macroscopic contribution microscopic correction

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SLIDE 21
  • S. Kaim

ICTP-IAEA Workshop on Nuclear Structure and Decay Data 10 oct. 2018

  • 2. Theoretical
  • 2. Theoretical Calculation : The CNS code

Calculation : The CNS code

132Sn

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  • S. Kaim

ICTP-IAEA Workshop on Nuclear Structure and Decay Data 10 oct. 2018

  • 2. Theoretical
  • 2. Theoretical Calculation : The CNS code

Calculation : The CNS code

6, 7 and 8π → {1g7/2, 2d5/2 and 1h11/2}

  • 5, -4 and -3ν → {2d3/2, 3s1/2, 2f7/2, 1h9/2, 1h11/2 and 1i13/2}

132Sn

+

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SLIDE 23
  • S. Kaim

ICTP-IAEA Workshop on Nuclear Structure and Decay Data 10 oct. 2018

  • 2. Theoretical
  • 2. Theoretical Calculation : The CNS code

Calculation : The CNS code

6, 7 and 8π → {1g7/2, 2d5/2 and 1h11/2}

  • 5, -4 and -3ν → {2d3/2, 3s1/2, 2f7/2, 1h9/2, 1h11/2 and 1i13/2}

132Sn

+

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SLIDE 24
  • S. Kaim

ICTP-IAEA Workshop on Nuclear Structure and Decay Data 10 oct. 2018

  • 2. Theoretical
  • 2. Theoretical Calculation : The CNS code

Calculation : The CNS code

6, 7 and 8π → {1g7/2, 2d5/2 and 1h11/2}

  • 5, -4 and -3ν → {2d3/2, 3s1/2, 2f7/2, 1h9/2, 1h11/2 and 1i13/2}

132Sn

+

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SLIDE 25
  • S. Kaim

ICTP-IAEA Workshop on Nuclear Structure and Decay Data 10 oct. 2018

  • 2. Theoretical
  • 2. Theoretical Calculation : The CNS code

Calculation : The CNS code

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SLIDE 26
  • S. Kaim

ICTP-IAEA Workshop on Nuclear Structure and Decay Data 10 oct. 2018

  • 2. Theoretical
  • 2. Theoretical Calculation : The CNS code

Calculation : The CNS code

Single particle energy in each point of the mesh

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SLIDE 27
  • S. Kaim

ICTP-IAEA Workshop on Nuclear Structure and Decay Data 10 oct. 2018

  • 2. Theoretical
  • 2. Theoretical Calculation : The CNS code

Calculation : The CNS code

Liquid drop energy and moment of inertia of the rigid rotor

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  • S. Kaim

ICTP-IAEA Workshop on Nuclear Structure and Decay Data 10 oct. 2018

  • 2. Theoretical
  • 2. Theoretical Calculation : The CNS code

Calculation : The CNS code

Adds Strutinsky correction to the Liquid drop energy

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SLIDE 29
  • S. Kaim

ICTP-IAEA Workshop on Nuclear Structure and Decay Data 10 oct. 2018

  • 2. Theoretical
  • 2. Theoretical Calculation : The CNS code

Calculation : The CNS code

Total energy in each point of the mesh

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  • S. Kaim

ICTP-IAEA Workshop on Nuclear Structure and Decay Data 10 oct. 2018

  • 2. Theoretical
  • 2. Theoretical Calculation : The CNS code

Calculation : The CNS code

The minimum energy and the deformation parameters

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  • S. Kaim

ICTP-IAEA Workshop on Nuclear Structure and Decay Data 10 oct. 2018

  • 2. Theoretical
  • 2. Theoretical Calculation : The CNS code

Calculation : The CNS code

Represents Potential Energy Surface (PES) in (ε2,γ) space

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  • S. Kaim

ICTP-IAEA Workshop on Nuclear Structure and Decay Data 10 oct. 2018

3.

  • 3. Results and Discussion

Results and Discussion

135 135 135 135La

La La La

135 135 135 135Ce

Ce Ce Ce

135 135 135 135Ba

Ba Ba Ba

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  • S. Kaim

ICTP-IAEA Workshop on Nuclear Structure and Decay Data 10 oct. 2018

3.

  • 3. Results and Discussion

Results and Discussion

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  • S. Kaim

ICTP-IAEA Workshop on Nuclear Structure and Decay Data 10 oct. 2018

3.

  • 3. Results and Discussion

Results and Discussion

  • R. Ma et al., physical Review C 41 no. 6, 2624, (1990)
  • S. Kumar et al., physical ReviewC 81, 067304, (2010)
  • R. Garg et al., Physicale Review C 87, 034317, (2013)
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  • S. Kaim

ICTP-IAEA Workshop on Nuclear Structure and Decay Data 10 oct. 2018

3.

  • 3. Results and Discussion

Results and Discussion

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  • S. Kaim

ICTP-IAEA Workshop on Nuclear Structure and Decay Data 10 oct. 2018

3.

  • 3. Results and Discussion

Results and Discussion

135 135 135 135Ba

Ba Ba Ba

Band 2 Band 2

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  • S. Kaim

ICTP-IAEA Workshop on Nuclear Structure and Decay Data 10 oct. 2018

3.

  • 3. Results and Discussion

Results and Discussion

135 135 135 135Ba

Ba Ba Ba

Band 2 Band 2 π(dg)4h2

11/2 U νh-2 11/2(ds)-1

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  • S. Kaim

ICTP-IAEA Workshop on Nuclear Structure and Decay Data 10 oct. 2018

3.

  • 3. Results and Discussion

Results and Discussion

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  • S. Kaim

ICTP-IAEA Workshop on Nuclear Structure and Decay Data 10 oct. 2018

3.

  • 3. Results and Discussion

Results and Discussion

ε2 ~ 0.13 ; γ ~ 29.33°

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  • S. Kaim

ICTP-IAEA Workshop on Nuclear Structure and Decay Data 10 oct. 2018

3.

  • 3. Results and Discussion

Results and Discussion

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  • S. Kaim

ICTP-IAEA Workshop on Nuclear Structure and Decay Data 10 oct. 2018

3.

  • 3. Results and Discussion

Results and Discussion

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  • S. Kaim

ICTP-IAEA Workshop on Nuclear Structure and Decay Data 10 oct. 2018

3.

  • 3. Results and Discussion

Results and Discussion

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  • S. Kaim

ICTP-IAEA Workshop on Nuclear Structure and Decay Data 10 oct. 2018

3.

  • 3. Results and Discussion

Results and Discussion

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  • S. Kaim

ICTP-IAEA Workshop on Nuclear Structure and Decay Data 10 oct. 2018

3.

  • 3. Results and Discussion

Results and Discussion

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  • S. Kaim

ICTP-IAEA Workshop on Nuclear Structure and Decay Data 10 oct. 2018

3.

  • 3. Results and Discussion

Results and Discussion

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  • S. Kaim

ICTP-IAEA Workshop on Nuclear Structure and Decay Data 10 oct. 2018

3.

  • 3. Results and Discussion

Results and Discussion

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  • S. Kaim

ICTP-IAEA Workshop on Nuclear Structure and Decay Data 10 oct. 2018

3.

  • 3. Results and Discussion

Results and Discussion

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  • S. Kaim

ICTP-IAEA Workshop on Nuclear Structure and Decay Data 10 oct. 2018

4. 4. SUMMARY SUMMARY

High spin states of 135Ba, 135La and 135Ce isobars are interpreted by CNS code. Calculation Results are represented by plots and curves : E – ERLD(I), PES, Ј(1)(ω), ...

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SLIDE 49
  • S. Kaim

ICTP-IAEA Workshop on Nuclear Structure and Decay Data 10 oct. 2018

4. 4. SUMMARY SUMMARY

High spin states of 135Ba, 135La and 135Ce isobars are interpreted by CNS code. Calculation Results are represented by plots and curves : E – ERLD(I), PES, Ј(1)(ω), ... In general these isobars shows a pronounced triaxiality but also axial symetric shapes: prolate in bands 6 and 7 of 135La, oblate in band 6 of 135Ce. → These nuclei shows shape co-existence phenomenon.

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SLIDE 50
  • S. Kaim

ICTP-IAEA Workshop on Nuclear Structure and Decay Data 10 oct. 2018

4. 4. SUMMARY SUMMARY

High spin states of 135Ba, 135La and 135Ce isobars are interpreted by CNS code. Calculation Results are represented by plots and curves : E – ERLD(I), PES, Ј(1)(ω), ... In general these isobars shows a pronounced triaxiality but also axial symetric shapes: prolate in bands 6 and 7 of 135La, oblate in band 6 of 135Ce. → These nuclei shows shape co-existence phenomenon. The quadrupole deformation in not very important for baryum and lanthane nuclei ε2 ~ 0.1 – 0.14, except band2 of 135La where ε2 ~ 0.27. the 135Ce seems to be more deformed ε2 ~ 0.17.

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SLIDE 51
  • S. Kaim

ICTP-IAEA Workshop on Nuclear Structure and Decay Data 10 oct. 2018

4. 4. SUMMARY SUMMARY

High spin states of 135Ba, 135La and 135Ce isobars are interpreted by CNS code. Calculation Results are represented by plots and curves : E – ERLD(I), PES, Ј(1)(ω), ... In general these isobars shows a pronounced triaxiality but also axial symetric shapes: prolate in bands 6 and 7 of 135La, oblate in band 6 of 135Ce. → These nuclei shows shape co-existence phenomenon. The quadrupole deformation in not very important for baryum and lanthane nuclei ε2 ~ 0.1 – 0.14, except band2 of 135La where ε2 ~ 0.27. the 135Ce seems to be more deformed ε2 ~ 0.17.

High-spin states are explained basing on simple configurations formed by a

combined contribution on 3- 5 neutron holes in h11/2 orbitals and (ds) sub-shells and by 1- 2 protons excitations to the h11/2 orbitals.

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SLIDE 52
  • S. Kaim

ICTP-IAEA Workshop on Nuclear Structure and Decay Data 10 oct. 2018

4. 4. SUMMARY SUMMARY

High spin states of 135Ba, 135La and 135Ce isobars are interpreted by CNS code. Calculation Results are represented by plots and curves : E – ERLD(I), PES, Ј(1)(ω), ... In general these isobars shows a pronounced triaxiality but also axial symetric shapes: prolate in bands 6 and 7 of 135La, oblate in band 6 of 135Ce. → These nuclei shows shape co-existence phenomenon. The quadrupole deformation in not very important for baryum and lanthane nuclei ε2 ~ 0.1 – 0.14, except band2 of 135La where ε2 ~ 0.27. the 135Ce seems to be more deformed ε2 ~ 0.17.

High-spin states are explained basing on simple configurations formed by a

combined contribution on 3- 5 neutron holes in h11/2 orbitals and (ds) sub-shells and by 1- 2 protons excitations to the h11/2 orbitals.

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SLIDE 53
  • S. Kaim

ICTP-IAEA Workshop on Nuclear Structure and Decay Data 10 oct. 2018

4. 4. SUMMARY SUMMARY

High spin states of 135Ba, 135La and 135Ce isobars are interpreted by CNS code. Calculation Results are represented by plots and curves : E – ERLD(I), PES, Ј(1)(ω), ... In general these isobars shows a pronounced triaxiality but also axial symetric shapes: prolate in bands 6 and 7 of 135La, oblate in band 6 of 135Ce. → These nuclei shows shape co-existence phenomenon. The quadrupole deformation in not very important for baryum and lanthane nuclei ε2 ~ 0.1 – 0.14, except band2 of 135La where ε2 ~ 0.27. the 135Ce seems to be more deformed ε2 ~ 0.17.

High-spin states are explained basing on simple configurations formed by a

combined contribution on 3- 5 neutron holes in h11/2 orbitals and (ds) sub-shells and by 1- 2 protons excitations to the h11/2 orbitals.

The proposed structures are generally in a good agreement with the observed

results for these nuclei.

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SLIDE 54
  • S. Kaim

ICTP-IAEA Workshop on Nuclear Structure and Decay Data 10 oct. 2018

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