abc Level, E (2 + 1 ) , E (4 + 1 ) , and B ( E 2) Systematics around - - PowerPoint PPT Presentation

SLIDE 1

abc

SLIDE 2

Level, E(2+

1 ), E(4+ 1 ), and B(E2)↑ Systematics around

the “Island of Inversion”

Pieter Doornenbal ピーター ドルネンバル

SLIDE 3

Outline

Introduction E(2+

1 ) and E(4+ 1 )

Systematics B(E2)↑ and δ Odd-Even Na Isotopes Overview Summary and Outlook Level, E(2+

1 ), E(4+ 1 ), and B(E2)↑ Systematics around the IoI

RIBF Discussion Plus!, April 25th, 2014 – 3

• Experimental status of:

✦

E(2+

1 ) and E(4+ 1 ) systematics of Ne and Mg isotopes

✦

B(E2)↑ and δ systematics of Ne and Mg isotopes

✦

Level systematics of odd-even Na isotopes

SLIDE 4

Outline

Introduction E(2+

1 ) and E(4+ 1 )

Systematics B(E2)↑ and δ Odd-Even Na Isotopes Overview Summary and Outlook Level, E(2+

1 ), E(4+ 1 ), and B(E2)↑ Systematics around the IoI

RIBF Discussion Plus!, April 25th, 2014 – 3

• Experimental status of:

✦

E(2+

1 ) and E(4+ 1 ) systematics of Ne and Mg isotopes

✦

B(E2)↑ and δ systematics of Ne and Mg isotopes

✦

Level systematics of odd-even Na isotopes

• Completing the systematics:

✦

The E(2+

1 ) of 40Mg

✦

B(E2)↑ of 32Ne and 38Mg

SLIDE 5

Introduction

Level, E(2+

1 ), E(4+ 1 ), and B(E2)↑ Systematics around the IoI

RIBF Discussion Plus!, April 25th, 2014 – 4

SLIDE 6

Time Line (1969-2000)

Level, E(2+

1 ), E(4+ 1 ), and B(E2)↑ Systematics around the IoI

RIBF Discussion Plus!, April 25th, 2014 – 5 1970 1975 1980 1985 1990 1995 2000 2005

• First observation of 27-32Na isotopes R. Klapisch et al., PRL 23, 652 (1969)

SLIDE 7

Time Line (1969-2000)

Level, E(2+

1 ), E(4+ 1 ), and B(E2)↑ Systematics around the IoI

RIBF Discussion Plus!, April 25th, 2014 – 5 1970 1975 1980 1985 1990 1995 2000 2005

• First observation of 27-32Na isotopes R. Klapisch et al., PRL 23, 652 (1969)
• Mass measurement C. Thibault et al., PRC 12, 644 (1975)

SLIDE 8

Time Line (1969-2000)

Level, E(2+

1 ), E(4+ 1 ), and B(E2)↑ Systematics around the IoI

RIBF Discussion Plus!, April 25th, 2014 – 5 1970 1975 1980 1985 1990 1995 2000 2005

• First observation of 27-32Na isotopes R. Klapisch et al., PRL 23, 652 (1969)
• Mass measurement C. Thibault et al., PRC 12, 644 (1975)
• Explanation of “unusual” masses
• X. Campi et al., NPA 251, 193 (1975)

SLIDE 9

Time Line (1969-2000)

Level, E(2+

1 ), E(4+ 1 ), and B(E2)↑ Systematics around the IoI

RIBF Discussion Plus!, April 25th, 2014 – 5 1970 1975 1980 1985 1990 1995 2000 2005

• First observation of 27-32Na isotopes R. Klapisch et al., PRL 23, 652 (1969)
• Mass measurement C. Thibault et al., PRC 12, 644 (1975)
• Explanation of “unusual” masses
• X. Campi et al., NPA 251, 193 (1975)
• Low E(2+) in 32Mg
• C. Dètraz et al., PRC 19, 164 (1979)

1 2 3 14 16 18 20 22 E(21

+) (MeV)

Neutron number Z=14 (Si) Z=12 (Mg)

SLIDE 10

Time Line (1969-2000)

Level, E(2+

1 ), E(4+ 1 ), and B(E2)↑ Systematics around the IoI

RIBF Discussion Plus!, April 25th, 2014 – 5 1970 1975 1980 1985 1990 1995 2000 2005

• First observation of 27-32Na isotopes R. Klapisch et al., PRL 23, 652 (1969)
• Mass measurement C. Thibault et al., PRC 12, 644 (1975)
• Explanation of “unusual” masses
• X. Campi et al., NPA 251, 193 (1975)
• Low E(2+) in 32Mg
• C. Dètraz et al., PRC 19, 164 (1979)
• “Island of inversion”

B.H. Wildenthal, W. Chung, PRC 22, 2260 (1980) E.K. Warburton, J.A. Becker, B.A. Brown, PRC 41, 1147 (1990)

1 2 3 14 16 18 20 22 E(21

+) (MeV)

Neutron number Z=14 (Si) Z=12 (Mg)

SLIDE 11

Time Line (1969-2000)

Level, E(2+

1 ), E(4+ 1 ), and B(E2)↑ Systematics around the IoI

RIBF Discussion Plus!, April 25th, 2014 – 5 1970 1975 1980 1985 1990 1995 2000 2005

• First observation of 27-32Na isotopes R. Klapisch et al., PRL 23, 652 (1969)
• Mass measurement C. Thibault et al., PRC 12, 644 (1975)
• Explanation of “unusual” masses
• X. Campi et al., NPA 251, 193 (1975)
• Low E(2+) in 32Mg
• C. Dètraz et al., PRC 19, 164 (1979)
• “Island of inversion”

B.H. Wildenthal, W. Chung, PRC 22, 2260 (1980) E.K. Warburton, J.A. Becker, B.A. Brown, PRC 41, 1147 (1990)

• B(E2)↑ of 32Mg
• T. Motobayashi et al., PLB 346, 9 (1995)

1 2 3 14 16 18 20 22 E(21

+) (MeV)

Neutron number Z=14 (Si) Z=12 (Mg)

20 - Proton Number 2 4 6 8 B(E2) (W.u.) 5 10 15

B(E2) of N=20 Isotones

SLIDE 12

E(2+

1 ) and E(4+ 1 )

Systematics

Level, E(2+

1 ), E(4+ 1 ), and B(E2)↑ Systematics around the IoI

RIBF Discussion Plus!, April 25th, 2014 – 6

SLIDE 13

Status in 2000 from Gamma-ray Spectroscopy

Introduction E(2+

1 ) and E(4+ 1 )

Systematics ❖ Status in 2000 ❖ Spectroscopy at RIPS ❖ Status in 2005 ❖ ZeroDegree ❖ DALI2 Configuration ❖ E(2+) in 32Ne ❖ 38Mg ❖ Mg Systematics ❖ Summary B(E2)↑ and δ Odd-Even Na Isotopes Overview Summary and Outlook Level, E(2+

1 ), E(4+ 1 ), and B(E2)↑ Systematics around the IoI

RIBF Discussion Plus!, April 25th, 2014 – 7

• 30Si

31Si 32Si 33Si 34Si 35Si 36Si 37Si 38Si 29Al 30Al 31Al 32Al 33Al 34Al 35Al 36Al 37Al 28Mg 29Mg 30Mg 31Mg 32Mg 33Mg 34Mg 35Mg 36Mg 27Na 28Na 29Na 30Na 31Na 32Na 33Na 34Na 35Na 26Ne 27Ne 28Ne 29Ne 30Ne 31Ne 32Ne 33Ne 34Ne 25F 26F 27F 28F 29F 30F 31F 32F 33F

N = 16 N = 18 N = 20 N = 22 N = 24 Z = 10 Z = 12 Z = 14

228(41) 350(50) 215(10) 270(14) 270(16) 113(33) ? 413(29) 84(33) ? ? 190(60) ? ? 190(70) 2018 1473 2235 1310 1482 1942 ? 885 3327 ? ? 1797 ? ? 1084 ? 4020 5280 ? ? (5220) ? 2322 ? ? ? ? ? ? ? ? 2.7 2.4 ? ? ? ? 2.6 ? ? ? ? ? ? ? ( ?

? ) 5 2 + 5 2 +

?? ( 3

2 +)

1+

3 2 +

3+

3 2 +

( ?

? ) 3 2 +

( 3

2 , 5 2 )+

?? ( ?

2 )

2+ ?? 1+ ( 3

2 +)

( 5

2 +) 3 2 +

( ?

2 )?

??

? 2 ?

??

? 2 ?

??

? 2 ? ? 2 ? ? 2 ? ? 2 ?

??

? 2 ?

?? ( 7

2 −)

?? ( 7

2 −) ? 2 ? ? 2 ? ? 2 ?

even-even

B(E2↑) E(2+

1 )

E(4+

1 ) E(4+

1 )

E(2+

1 )

Prediction by E. K. Warburton et al., Phys. Rev. C 41, 1147 (1990).

26,28Ne, 30,32Mg Coulex: B. Pritychenko et al., Phys. Lett. B 461, 322 (1999). 31Na Coulex: B. Pritychenko et al., Phys. Rev. C 63, 011305(R) (2000).

SLIDE 14

Status in 2000 from Gamma-ray Spectroscopy

Introduction E(2+

1 ) and E(4+ 1 )

Systematics ❖ Status in 2000 ❖ Spectroscopy at RIPS ❖ Status in 2005 ❖ ZeroDegree ❖ DALI2 Configuration ❖ E(2+) in 32Ne ❖ 38Mg ❖ Mg Systematics ❖ Summary B(E2)↑ and δ Odd-Even Na Isotopes Overview Summary and Outlook Level, E(2+

1 ), E(4+ 1 ), and B(E2)↑ Systematics around the IoI

RIBF Discussion Plus!, April 25th, 2014 – 7

• 30Si

31Si 32Si 33Si 34Si 35Si 36Si 37Si 38Si 29Al 30Al 31Al 32Al 33Al 34Al 35Al 36Al 37Al 28Mg 29Mg 30Mg 31Mg 32Mg 33Mg 34Mg 35Mg 36Mg 27Na 28Na 29Na 30Na 31Na 32Na 33Na 34Na 35Na 26Ne 27Ne 28Ne 29Ne 30Ne 31Ne 32Ne 33Ne 34Ne 25F 26F 27F 28F 29F 30F 31F 32F 33F

N = 16 N = 18 N = 20 N = 22 N = 24 Z = 10 Z = 12 Z = 14

228(41) 350(50) 215(10) 270(14) 270(16) 113(33) ? 413(29) 84(33) ? ? 190(60) ? ? 190(70) 2018 1473 2235 1310 1482 1942 ? 885 3327 ? ? 1797 ? ? 1084 ? 4020 5280 ? ? (5220) ? 2322 ? ? ? ? ? ? ? ? 2.7 2.4 ? ? ? ? 2.6 ? ? ? ? ? ? ? ( ?

? ) 5 2 + 5 2 +

?? ( 3

2 +)

1+

3 2 +

3+

3 2 +

( ?

? ) 3 2 +

( 3

2 , 5 2 )+

?? ( ?

2 )

2+ ?? 1+ ( 3

2 +)

( 5

2 +) 3 2 +

( ?

2 )?

??

? 2 ?

??

? 2 ?

??

? 2 ? ? 2 ? ? 2 ? ? 2 ?

??

? 2 ?

?? ( 7

2 −)

?? ( 7

2 −) ? 2 ? ? 2 ? ? 2 ?

even-even

B(E2↑) E(2+

1 )

E(4+

1 ) E(4+

1 )

E(2+

1 )

Prediction by E. K. Warburton et al., Phys. Rev. C 41, 1147 (1990).

26,28Ne, 30,32Mg Coulex: B. Pritychenko et al., Phys. Lett. B 461, 322 (1999). 31Na Coulex: B. Pritychenko et al., Phys. Rev. C 63, 011305(R) (2000).

SLIDE 15

Status in 2000 from Gamma-ray Spectroscopy

Introduction E(2+

1 ) and E(4+ 1 )

Systematics ❖ Status in 2000 ❖ Spectroscopy at RIPS ❖ Status in 2005 ❖ ZeroDegree ❖ DALI2 Configuration ❖ E(2+) in 32Ne ❖ 38Mg ❖ Mg Systematics ❖ Summary B(E2)↑ and δ Odd-Even Na Isotopes Overview Summary and Outlook Level, E(2+

1 ), E(4+ 1 ), and B(E2)↑ Systematics around the IoI

RIBF Discussion Plus!, April 25th, 2014 – 7

• 30Si

31Si 32Si 33Si 34Si 35Si 36Si 37Si 38Si 29Al 30Al 31Al 32Al 33Al 34Al 35Al 36Al 37Al 28Mg 29Mg 30Mg 31Mg 32Mg 33Mg 34Mg 35Mg 36Mg 27Na 28Na 29Na 30Na 31Na 32Na 33Na 34Na 35Na 26Ne 27Ne 28Ne 29Ne 30Ne 31Ne 32Ne 33Ne 34Ne 25F 26F 27F 28F 29F 30F 31F 32F 33F

N = 16 N = 18 N = 20 N = 22 N = 24 Z = 10 Z = 12 Z = 14

228(41) 350(50) 215(10) 270(14) 270(16) 113(33) ? 413(29) 84(33) ? ? 190(60) ? ? 190(70) 2018 1473 2235 1310 1482 1942 ? 885 3327 ? ? 1797 ? ? 1084 ? 4020 5280 ? ? (5220) ? 2322 ? ? ? ? ? ? ? ? 2.7 2.4 ? ? ? ? 2.6 ? ? ? ? ? ? ? ( ?

? ) 5 2 + 5 2 +

?? ( 3

2 +)

1+

3 2 +

3+

3 2 +

( ?

? ) 3 2 +

( 3

2 , 5 2 )+

?? ( ?

2 )

2+ ?? 1+ ( 3

2 +)

( 5

2 +) 3 2 +

( ?

2 )?

??

? 2 ?

??

? 2 ?

??

? 2 ? ? 2 ? ? 2 ? ? 2 ?

??

? 2 ?

?? ( 7

2 −)

?? ( 7

2 −) ? 2 ? ? 2 ? ? 2 ?

even-even

B(E2↑) E(2+

1 )

E(4+

1 ) E(4+

1 )

E(2+

1 )

Prediction by E. K. Warburton et al., Phys. Rev. C 41, 1147 (1990).

26,28Ne, 30,32Mg Coulex: B. Pritychenko et al., Phys. Lett. B 461, 322 (1999). 31Na Coulex: B. Pritychenko et al., Phys. Rev. C 63, 011305(R) (2000).

SLIDE 16

Inelastic Scattering on lH2 and Two-Step Fragmentation of

30Ne and 34Mg at Intermediate Energies with RIPS

Level, E(2+

1 ), E(4+ 1 ), and B(E2)↑ Systematics around the IoI

RIBF Discussion Plus!, April 25th, 2014 – 8

• 40Ar at 95 MeV/u, 60 pnA
• ≈ 0.2 pps of 30Ne
• 48 MeV/u at mid-target
• 0.19 g/cm2 H
• (p,p’)

SLIDE 17

Inelastic Scattering on lH2 and Two-Step Fragmentation of

30Ne and 34Mg at Intermediate Energies with RIPS

Level, E(2+

1 ), E(4+ 1 ), and B(E2)↑ Systematics around the IoI

RIBF Discussion Plus!, April 25th, 2014 – 8

• 40Ar at 95 MeV/u, 60 pnA
• ≈ 0.2 pps of 30Ne
• 48 MeV/u at mid-target
• 0.19 g/cm2 H
• (p,p’)
• 40Ar at 95 MeV/u, 60 pnA
• ≈ 2 × 104 pps of 36Si
• 38 MeV/u at mid-target
• 0.39 g/cm2 Be
• 9Be(36Si,34Mg+γ)

30Ne: Y. Yanagisawa et al., PLB 566, 322 (2003). 34Mg: K. Yoneda et al., PLB 499, 233 (2001).

SLIDE 18

Satus in 2005

Introduction E(2+

1 ) and E(4+ 1 )

Systematics ❖ Status in 2000 ❖ Spectroscopy at RIPS ❖ Status in 2005 ❖ ZeroDegree ❖ DALI2 Configuration ❖ E(2+) in 32Ne ❖ 38Mg ❖ Mg Systematics ❖ Summary B(E2)↑ and δ Odd-Even Na Isotopes Overview Summary and Outlook Level, E(2+

1 ), E(4+ 1 ), and B(E2)↑ Systematics around the IoI

RIBF Discussion Plus!, April 25th, 2014 – 9

• 30Si

31Si 32Si 33Si 34Si 35Si 36Si 37Si 38Si 29Al 30Al 31Al 32Al 33Al 34Al 35Al 36Al 37Al 28Mg 29Mg 30Mg 31Mg 32Mg 33Mg 34Mg 35Mg 36Mg 27Na 28Na 29Na 30Na 31Na 32Na 33Na 34Na 35Na 26Ne 27Ne 28Ne 29Ne 30Ne 31Ne 32Ne 33Ne 34Ne 25F 26F 27F 28F 29F 30F 31F 32F 33F

N = 16 N = 18 N = 20 N = 22 N = 24 Z = 10 Z = 12 Z = 14

228(41) 350(50) 215(10) 270(14) 270(16) 113(33) ? 413(29) 84(33) ? 631(126) 190(60) ? ? 190(70) 2018 1473 2235 1310 1482 1942 791(26) 885 3328 ? 670 1399 ? ? 1084 ? 4020 5280 ? (1789) (5220) ? (2322) ? ? (2120) ? ? ? ? ? 2.7 2.4 ? (1.2) (2.7) ? (2.6) (1.0) ? (3.2) ? ? ? ? ( 5

2 +) 5 2 + 5 2 +

1+ ( 3

2 +)

1+

3 2 +

3+

3 2 +

( 5

2 +) 3 2 +

( 3

2 , 5 2 )+

?? ( 3

2 +)

2+

1 2 (+)

1+ ( 3

2 +)

( 5

2 +) 3 2 +

( 3

2 )+

??

? 2 ?

(3, 4)−

? 2 ?

??

? 2 ? ? 2 ?

( 3

2 )+ ? 2 ?

??

? 2 ?

?? ( 7

2 −)

?? ( 7

2 −) ? 2 ? ? 2 ? ? 2 ?

even-even

B(E2↑) E(2+

1 )

E(4+

1 ) E(4+

1 )

E(2+

1 )

Prediction by E. K. Warburton et al., Phys. Rev. C 41, 1147 (1990)

SLIDE 19

Satus in 2005

Introduction E(2+

1 ) and E(4+ 1 )

Systematics ❖ Status in 2000 ❖ Spectroscopy at RIPS ❖ Status in 2005 ❖ ZeroDegree ❖ DALI2 Configuration ❖ E(2+) in 32Ne ❖ 38Mg ❖ Mg Systematics ❖ Summary B(E2)↑ and δ Odd-Even Na Isotopes Overview Summary and Outlook Level, E(2+

1 ), E(4+ 1 ), and B(E2)↑ Systematics around the IoI

RIBF Discussion Plus!, April 25th, 2014 – 9

• 30Si

31Si 32Si 33Si 34Si 35Si 36Si 37Si 38Si 29Al 30Al 31Al 32Al 33Al 34Al 35Al 36Al 37Al 28Mg 29Mg 30Mg 31Mg 32Mg 33Mg 34Mg 35Mg 36Mg 27Na 28Na 29Na 30Na 31Na 32Na 33Na 34Na 35Na 26Ne 27Ne 28Ne 29Ne 30Ne 31Ne 32Ne 33Ne 34Ne 25F 26F 27F 28F 29F 30F 31F 32F 33F

N = 16 N = 18 N = 20 N = 22 N = 24 Z = 10 Z = 12 Z = 14

228(41) 350(50) 215(10) 270(14) 270(16) 113(33) ? 413(29) 84(33) ? 631(126) 190(60) ? ? 190(70) 2018 1473 2235 1310 1482 1942 791(26) 885 3328 ? 670 1399 ? ? 1084 ? 4020 5280 ? (1789) (5220) ? (2322) ? ? (2120) ? ? ? ? ? 2.7 2.4 ? (1.2) (2.7) ? (2.6) (1.0) ? (3.2) ? ? ? ? ( 5

2 +) 5 2 + 5 2 +

1+ ( 3

2 +)

1+

3 2 +

3+

3 2 +

( 5

2 +) 3 2 +

( 3

2 , 5 2 )+

?? ( 3

2 +)

2+

1 2 (+)

1+ ( 3

2 +)

( 5

2 +) 3 2 +

( 3

2 )+

??

? 2 ?

(3, 4)−

? 2 ?

??

? 2 ? ? 2 ?

( 3

2 )+ ? 2 ?

??

? 2 ?

?? ( 7

2 −)

?? ( 7

2 −) ? 2 ? ? 2 ? ? 2 ?

even-even

B(E2↑) E(2+

1 )

E(4+

1 ) E(4+

1 )

E(2+

1 )

Prediction by E. K. Warburton et al., Phys. Rev. C 41, 1147 (1990)

• A. Gade et al., PRL 99, 072502 (2007).

SLIDE 20

Satus in 2005

Introduction E(2+

1 ) and E(4+ 1 )

Systematics ❖ Status in 2000 ❖ Spectroscopy at RIPS ❖ Status in 2005 ❖ ZeroDegree ❖ DALI2 Configuration ❖ E(2+) in 32Ne ❖ 38Mg ❖ Mg Systematics ❖ Summary B(E2)↑ and δ Odd-Even Na Isotopes Overview Summary and Outlook Level, E(2+

1 ), E(4+ 1 ), and B(E2)↑ Systematics around the IoI

RIBF Discussion Plus!, April 25th, 2014 – 9

• 30Si

31Si 32Si 33Si 34Si 35Si 36Si 37Si 38Si 29Al 30Al 31Al 32Al 33Al 34Al 35Al 36Al 37Al 28Mg 29Mg 30Mg 31Mg 32Mg 33Mg 34Mg 35Mg 36Mg 27Na 28Na 29Na 30Na 31Na 32Na 33Na 34Na 35Na 26Ne 27Ne 28Ne 29Ne 30Ne 31Ne 32Ne 33Ne 34Ne 25F 26F 27F 28F 29F 30F 31F 32F 33F

N = 16 N = 18 N = 20 N = 22 N = 24 Z = 10 Z = 12 Z = 14

228(41) 350(50) 215(10) 270(14) 270(16) 113(33) ? 413(29) 84(33) ? 631(126) 190(60) ? ? 190(70) 2018 1473 2235 1310 1482 1942 791(26) 885 3328 ? 670 1399 ? ? 1084 ? 4020 5280 ? (1789) (5220) ? (2322) ? ? (2120) ? ? ? ? ? 2.7 2.4 ? (1.2) (2.7) ? (2.6) (1.0) ? (3.2) ? ? ? ? ( 5

2 +) 5 2 + 5 2 +

1+ ( 3

2 +)

1+

3 2 +

3+

3 2 +

( 5

2 +) 3 2 +

( 3

2 , 5 2 )+

?? ( 3

2 +)

2+

1 2 (+)

1+ ( 3

2 +)

( 5

2 +) 3 2 +

( 3

2 )+

??

? 2 ?

(3, 4)−

? 2 ?

??

? 2 ? ? 2 ?

( 3

2 )+ ? 2 ?

??

? 2 ?

?? ( 7

2 −)

?? ( 7

2 −) ? 2 ? ? 2 ? ? 2 ?

even-even

B(E2↑) E(2+

1 )

E(4+

1 ) E(4+

1 )

E(2+

1 )

Prediction by E. K. Warburton et al., Phys. Rev. C 41, 1147 (1990)

• A. Gade et al., PRL 99, 072502 (2007).

SLIDE 21

Satus in 2005

Introduction E(2+

1 ) and E(4+ 1 )

Systematics ❖ Status in 2000 ❖ Spectroscopy at RIPS ❖ Status in 2005 ❖ ZeroDegree ❖ DALI2 Configuration ❖ E(2+) in 32Ne ❖ 38Mg ❖ Mg Systematics ❖ Summary B(E2)↑ and δ Odd-Even Na Isotopes Overview Summary and Outlook Level, E(2+

1 ), E(4+ 1 ), and B(E2)↑ Systematics around the IoI

RIBF Discussion Plus!, April 25th, 2014 – 9

• 30Si

31Si 32Si 33Si 34Si 35Si 36Si 37Si 38Si 29Al 30Al 31Al 32Al 33Al 34Al 35Al 36Al 37Al 28Mg 29Mg 30Mg 31Mg 32Mg 33Mg 34Mg 35Mg 36Mg 27Na 28Na 29Na 30Na 31Na 32Na 33Na 34Na 35Na 26Ne 27Ne 28Ne 29Ne 30Ne 31Ne 32Ne 33Ne 34Ne 25F 26F 27F 28F 29F 30F 31F 32F 33F

N = 16 N = 18 N = 20 N = 22 N = 24 Z = 10 Z = 12 Z = 14

228(41) 350(50) 215(10) 270(14) 270(16) 113(33) ? 413(29) 84(33) ? 631(126) 190(60) ? ? 190(70) 2018 1473 2235 1310 1482 1942 791(26) 885 3328 ? 670 1399 ? ? 1084 ? 4020 5280 ? (1789) (5220) ? (2322) ? ? (2120) ? ? ? ? ? 2.7 2.4 ? (1.2) (2.7) ? (2.6) (1.0) ? (3.2) ? ? ? ? ( 5

2 +) 5 2 + 5 2 +

1+ ( 3

2 +)

1+

3 2 +

3+

3 2 +

( 5

2 +) 3 2 +

( 3

2 , 5 2 )+

?? ( 3

2 +)

2+

1 2 (+)

1+ ( 3

2 +)

( 5

2 +) 3 2 +

( 3

2 )+

??

? 2 ?

(3, 4)−

? 2 ?

??

? 2 ? ? 2 ?

( 3

2 )+ ? 2 ?

??

? 2 ?

?? ( 7

2 −)

?? ( 7

2 −) ? 2 ? ? 2 ? ? 2 ?

even-even

B(E2↑) E(2+

1 )

E(4+

1 ) E(4+

1 )

E(2+

1 )

Prediction by E. K. Warburton et al., Phys. Rev. C 41, 1147 (1990)

• A. Gade et al., PRL 99, 072502 (2007).

SLIDE 22

Satus in 2005

Introduction E(2+

1 ) and E(4+ 1 )

Systematics ❖ Status in 2000 ❖ Spectroscopy at RIPS ❖ Status in 2005 ❖ ZeroDegree ❖ DALI2 Configuration ❖ E(2+) in 32Ne ❖ 38Mg ❖ Mg Systematics ❖ Summary B(E2)↑ and δ Odd-Even Na Isotopes Overview Summary and Outlook Level, E(2+

1 ), E(4+ 1 ), and B(E2)↑ Systematics around the IoI

RIBF Discussion Plus!, April 25th, 2014 – 9

• 30Si

31Si 32Si 33Si 34Si 35Si 36Si 37Si 38Si 29Al 30Al 31Al 32Al 33Al 34Al 35Al 36Al 37Al 28Mg 29Mg 30Mg 31Mg 32Mg 33Mg 34Mg 35Mg 36Mg 27Na 28Na 29Na 30Na 31Na 32Na 33Na 34Na 35Na 26Ne 27Ne 28Ne 29Ne 30Ne 31Ne 32Ne 33Ne 34Ne 25F 26F 27F 28F 29F 30F 31F 32F 33F

N = 16 N = 18 N = 20 N = 22 N = 24 Z = 10 Z = 12 Z = 14

228(41) 350(50) 215(10) 270(14) 270(16) 113(33) ? 413(29) 84(33) ? 631(126) 190(60) ? ? 190(70) 2018 1473 2235 1310 1482 1942 791(26) 885 3328 ? 670 1399 ? ? 1084 ? 4020 5280 ? (1789) (5220) ? (2322) ? ? (2120) ? ? ? ? ? 2.7 2.4 ? (1.2) (2.7) ? (2.6) (1.0) ? (3.2) ? ? ? ? ( 5

2 +) 5 2 + 5 2 +

1+ ( 3

2 +)

1+

3 2 +

3+

3 2 +

( 5

2 +) 3 2 +

( 3

2 , 5 2 )+

?? ( 3

2 +)

2+

1 2 (+)

1+ ( 3

2 +)

( 5

2 +) 3 2 +

( 3

2 )+

??

? 2 ?

(3, 4)−

? 2 ?

??

? 2 ? ? 2 ?

( 3

2 )+ ? 2 ?

??

? 2 ?

?? ( 7

2 −)

?? ( 7

2 −) ? 2 ? ? 2 ? ? 2 ?

even-even

B(E2↑) E(2+

1 )

E(4+

1 ) E(4+

1 )

E(2+

1 )

Prediction by E. K. Warburton et al., Phys. Rev. C 41, 1147 (1990)

• A. Gade et al., PRL 99, 072502 (2007).

38Mg

SLIDE 23

ZeroDegree Spectrometer

Level, E(2+

1 ), E(4+ 1 ), and B(E2)↑ Systematics around the IoI

RIBF Discussion Plus!, April 25th, 2014 – 10

2nd BigRIPS Stage

0◦ Spectrometer ZeroDegree

• Particle ID after secondary target
• Fragment momentum distribution
• Various modes of operation

mode p/∆p ∆p

• Ang. Accep.

Large Accep. 1240 ±3% ±45 mrad(H) ±30 mrad(V) High res.(achrom) 2120 ±3% ±20 mrad(H) ±30 mrad(V) Dispersive 4130 ±2% ±20 mrad(H) ±30 mrad(V)

Secondary Target

∼ 3 m between Q-poles

• DALI2 array, 186

NaI(Tl)

• GRAPE HPGe array
• Ebeam ∼ 100 − 250

MeV/u

SLIDE 24

DALI2 (2010–to Present)

Introduction E(2+

1 ) and E(4+ 1 )

Systematics ❖ Status in 2000 ❖ Spectroscopy at RIPS ❖ Status in 2005 ❖ ZeroDegree ❖ DALI2 Configuration ❖ E(2+) in 32Ne ❖ 38Mg ❖ Mg Systematics ❖ Summary B(E2)↑ and δ Odd-Even Na Isotopes Overview Summary and Outlook Level, E(2+

1 ), E(4+ 1 ), and B(E2)↑ Systematics around the IoI

RIBF Discussion Plus!, April 25th, 2014 – 11

• Forward-wall configuration
• 186 NaI(Tl) detectors
• ϑ coverage 11◦ to 165◦
• Saint-Gobain: 16 × 8 × 4.5 cm3
• Scionix: 16 × 8 × 4 cm3
• 7 % intrinsic resolution at 1 MeV
• ∆E/E ≈10(11) % at 100(250) MeV/u
• ≈ 20% FEP efficiency at 1 MeV
• Simplified target holder and beam pipe
• 1mm Pb (+1mm Sn) shielding
• S. Takeuchi et al., RIKEN Pr. Rep. 36, 148 (2003)

Beam Target Beam

SLIDE 25

PID Behind Target and Gamma-Ray Spectra

Level, E(2+

1 ), E(4+ 1 ), and B(E2)↑ Systematics around the IoI

RIBF Discussion Plus!, April 25th, 2014 – 12

A/Z 2.9 3 3.1 3.2 3.3 Z 9 10 11 12

1 10

2

10

3

10

Na

33

Ne

32

PID after F8

• 48Ca 110 pnA
• C(32Ne,32Ne*), C(33Na,32Ne*)
• 32Ne: 6 pps, 230 MeV/u
• F8 target: nat.C (2.54 g/cm2)
• DALI2 array: 180 NaI(Tl) detectors
• Total data taking: 8 hours
• E(2+

1 ) at 722(9) keV

SLIDE 26

PID Behind Target and Gamma-Ray Spectra

Level, E(2+

1 ), E(4+ 1 ), and B(E2)↑ Systematics around the IoI

RIBF Discussion Plus!, April 25th, 2014 – 12

A/Z 2.9 3 3.1 3.2 3.3 Z 9 10 11 12

1 10

2

10

3

10

Na

33

Ne

32

PID after F8

• 48Ca 110 pnA
• C(32Ne,32Ne*), C(33Na,32Ne*)
• 32Ne: 6 pps, 230 MeV/u
• F8 target: nat.C (2.54 g/cm2)
• DALI2 array: 180 NaI(Tl) detectors
• Total data taking: 8 hours
• E(2+

1 ) at 722(9) keV

5 10 15 20 500 1000 1500 2000 Counts / 25 keV Eγ (keV) a)

32Ne

5 10 15 Counts / 25 keV b)

32Ne 5 10 500 1000

c)

30Ne 10 20 500 1000

d)

30Ne

Doppler Corrected γ-Ray Energy

SLIDE 27

E(2+) as Function of N

Introduction E(2+

1 ) and E(4+ 1 )

Systematics ❖ Status in 2000 ❖ Spectroscopy at RIPS ❖ Status in 2005 ❖ ZeroDegree ❖ DALI2 Configuration ❖ E(2+) in 32Ne ❖ 38Mg ❖ Mg Systematics ❖ Summary B(E2)↑ and δ Odd-Even Na Isotopes Overview Summary and Outlook Level, E(2+

1 ), E(4+ 1 ), and B(E2)↑ Systematics around the IoI

RIBF Discussion Plus!, April 25th, 2014 – 13

0.5 1 1.5 2 16 18 20 22 24 E(21

+) (MeV)

Neutron Number N

Ne

0.5 1 1.5 2 E(21

+) (MeV)

Mg

Caurier: (N), (I) Utsuno: Exp.:

PD, H. Scheit et al.

• Phys. Rev. Lett. 103, 032501 (2009)

arXiv:0906.3775

• Lowest E(2+) of Ne isotopes
• Very good agreement with

Utsuno et al., PRC 60, 054315 (1999)

• Very good agreement with

Intruder calculation of Caurier et al., NPA 693, 374 (2001)

• 32Ne belongs to the

“Island of Inversion”

SLIDE 28

In-Beam γ-Ray Spectroscopy of 38Mg

Level, E(2+

1 ), E(4+ 1 ), and B(E2)↑ Systematics around the IoI

RIBF Discussion Plus!, April 25th, 2014 – 14

Ratio of Mass to Charge Number A/Q 3 3.1 3.2 Charge Number Q 11 12 13

1 10

2

10

Mg

38

Particle Identification ZeroDegree

• 48Ca, 70 pnA primary beam
• 40Si: 3000 pps, 230 MeV/u
• 39Al: 110 pps, 220 MeV/u
• F8 target: nat.C, 2.54 g/cm2
• 15 hours data taking
• 38Mg E(2+

1 ) 655(6) keV

• E(4+

1 )/E(2+ 1 ) ≈ 3 Energy (keV) 1000 2000 3000 Counts / 25 keV 20 40 60 80 Mg

38

<4

γ

M

656(6) 1360(20)

20 40 60 Mg)

38

Si,

40

C(

γ

All M 1000 2000 20 40 60 Mg)

38

Al,

39

C(

γ

All M

Doppler Corrected γ-Ray Energy

SLIDE 29

Systematics in Mg Isotopes

Level, E(2+

1 ), E(4+ 1 ), and B(E2)↑ Systematics around the IoI

RIBF Discussion Plus!, April 25th, 2014 – 15

1000 2000 3000 4000 Counts / 25 keV 1 10

2

10

<3

γ

Mg), M

36

Al,

37

C(

662(6) 1370(20)

1000 1 10

2

10

γ

All M

Energy (keV) 1000 2000 3000 4000 Counts / 25 keV 10

2

10

3

10

<4

γ

Mg), M

34

Al,

37

C(

652(6) 1395(15) 2480(30) 3130(30)

1000 2000 3000 20 40 Gate 652 keV <4

γ

M

Doppler Corrected γ-ray Energy

SLIDE 30

Systematics in Mg Isotopes

Level, E(2+

1 ), E(4+ 1 ), and B(E2)↑ Systematics around the IoI

RIBF Discussion Plus!, April 25th, 2014 – 15

1000 2000 3000 4000 Counts / 25 keV 1 10

2

10

<3

γ

Mg), M

36

Al,

37

C(

662(6) 1370(20)

1000 1 10

2

10

γ

All M

Energy (keV) 1000 2000 3000 4000 Counts / 25 keV 10

2

10

3

10

<4

γ

Mg), M

34

Al,

37

C(

652(6) 1395(15) 2480(30) 3130(30)

1000 2000 3000 20 40 Gate 652 keV <4

γ

M

Doppler Corrected γ-ray Energy

(MeV)

x

E 1 2 3 4 5

1 +

4

1 +

2

Si

1 +

2 Si

1 +

4 Mg

1 +

2 Mg

1 +

4 SDPF-M SDPF-MU SDPF-U-MIX 3DAMP+GCM

Neutron Number N 20 22 24 26 28

4/2

R 2 2.5 3

Si

4/2

R Mg

4/2

R

Comparison with Si and Theory

SDPF-M: Y. Utsuno et al., PRC 60, 054315 (1999). SDPF-MU: Y. Utsuno et al., PRC 86, 051301 (2012). SPPF-U-MIX: A. Poves et al., PST 150, 014030 (2012). 3DAMP+GCM: J. M. Yao et al., PRC 83, 014308 (2011). PD, H. Scheit, S. Takeuchi et al., PRL 111, 212502 (2013). R4/2 in Si: S. Takeuchi et al., PRL 109, 182501 (2012).

• X. Liang et al., PRC 74, 014311 (2006).

SLIDE 31

Summary of E(2+

1 ) and E(4+ 1 )

Level, E(2+

1 ), E(4+ 1 ), and B(E2)↑ Systematics around the IoI

RIBF Discussion Plus!, April 25th, 2014 – 16

Nucleus E(2+

1 )

E(4+

1 )

Method MeV/u Facility Year Method MeV/u Facility Year

28Ne

Coulex 53 NSCL 1999 (p,p’) 51 RIKEN 2006†

30Ne

(p,p’) 48 RIKEN 2003 2p-k.o. 87 NSCL 2010†

32Ne

(C,C’),1p-k.o. 230 RIKEN 2009 2p-k.o ≈ 230 RIKEN

∗ 30Mg

β decay – CERN 1979 14C(18O,2p) 2.6 ANL 2010‡

32Mg

β decay – CERN 1979 Inelastic ? GANIL 2002⋄

34Mg

2p-k.o. 38 RIKEN 2001 2p-k.o. 38 RIKEN 2001†

36Mg

2p-k.o. 83 NSCL 2007 1p-k.o. 220 RIKEN 2013†

38Mg

1,2p-k.o. 200 RIKEN 2013 1p-k.o. 200 RIKEN 2013†

†From systematics and comparison to theoretical calculations. ∗Measured in NP0906-RIBF03 (D. Bazin et al.). ⋄Spin assignment via scattered particle angular distribution:

• S. Takeuchi et al., PRC 79, 054319 (2009).

‡Spin assignment from γ-ray angular distribution:

A.N. Deacon et al., PRC 82, 034305 (2010).

SLIDE 32

Summary of E(2+

1 ) and E(4+ 1 )

Level, E(2+

1 ), E(4+ 1 ), and B(E2)↑ Systematics around the IoI

RIBF Discussion Plus!, April 25th, 2014 – 16

Nucleus E(2+

1 )

E(4+

1 )

Method MeV/u Facility Year Method MeV/u Facility Year

28Ne

Coulex 53 NSCL 1999 (p,p’) 51 RIKEN 2006†

30Ne

(p,p’) 48 RIKEN 2003 2p-k.o. 87 NSCL 2010†

32Ne

(C,C’),1p-k.o. 230 RIKEN 2009 2p-k.o ≈ 230 RIKEN

∗ 30Mg

β decay – CERN 1979 14C(18O,2p) 2.6 ANL 2010‡

32Mg

β decay – CERN 1979 Inelastic ? GANIL 2002⋄

34Mg

2p-k.o. 38 RIKEN 2001 2p-k.o. 38 RIKEN 2001†

36Mg

2p-k.o. 83 NSCL 2007 1p-k.o. 220 RIKEN 2013†

38Mg

1,2p-k.o. 200 RIKEN 2013 1p-k.o. 200 RIKEN 2013†

†From systematics and comparison to theoretical calculations. ∗Measured in NP0906-RIBF03 (D. Bazin et al.). ⋄Spin assignment via scattered particle angular distribution:

• S. Takeuchi et al., PRC 79, 054319 (2009).

‡Spin assignment from γ-ray angular distribution:

A.N. Deacon et al., PRC 82, 034305 (2010).

SLIDE 33

Summary of E(2+

1 ) and E(4+ 1 )

Level, E(2+

1 ), E(4+ 1 ), and B(E2)↑ Systematics around the IoI

RIBF Discussion Plus!, April 25th, 2014 – 16

Nucleus E(2+

1 )

E(4+

1 )

Method MeV/u Facility Year Method MeV/u Facility Year

28Ne

Coulex 53 NSCL 1999 (p,p’) 51 RIKEN 2006†

30Ne

(p,p’) 48 RIKEN 2003 2p-k.o. 87 NSCL 2010†

32Ne

(C,C’),1p-k.o. 230 RIKEN 2009 2p-k.o ≈ 230 RIKEN

∗ 30Mg

β decay – CERN 1979 14C(18O,2p) 2.6 ANL 2010‡

32Mg

β decay – CERN 1979 Inelastic ? GANIL 2002⋄

34Mg

2p-k.o. 38 RIKEN 2001 2p-k.o. 38 RIKEN 2001†

36Mg

2p-k.o. 83 NSCL 2007 1p-k.o. 220 RIKEN 2013†

38Mg

1,2p-k.o. 200 RIKEN 2013 1p-k.o. 200 RIKEN 2013†

†From systematics and comparison to theoretical calculations. ∗Measured in NP0906-RIBF03 (D. Bazin et al.). ⋄Spin assignment via scattered particle angular distribution:

• S. Takeuchi et al., PRC 79, 054319 (2009).

‡Spin assignment from γ-ray angular distribution:

A.N. Deacon et al., PRC 82, 034305 (2010).

0.5 1 1.5 2 2.5 3 3.5 4 E(21

+) (MeV)

Ca Ar S Si Mg Ne 1.5 2 2.5 3 18 20 22 24 26 28 Neutron number E(41

+)/ E(21 +)

SLIDE 34

B(E2)↑ and δ inside the “Island of Inversion”

Level, E(2+

1 ), E(4+ 1 ), and B(E2)↑ Systematics around the IoI

RIBF Discussion Plus!, April 25th, 2014 – 17

SLIDE 35

Overview of Ne and Mg

Introduction E(2+

1 ) and E(4+ 1 )

Systematics B(E2)↑ and δ ❖ Ne and Mg ❖ Inelastic scattering Odd-Even Na Isotopes Overview Summary and Outlook Level, E(2+

1 ), E(4+ 1 ), and B(E2)↑ Systematics around the IoI

RIBF Discussion Plus!, April 25th, 2014 – 18

1 2 3 4 5 26 28 30 32 34 36

Mass Number A E(2+

1) (MeV)

2+

1

4+

1

Ne

Exp. SDPF-M 0.02 0.04 0.06 16 18 20 22 24 26

B(E2; 0+

gs→ 21 +) (e2b2)

Neutron Number N

Pritychenko Gibelin Iwasaki SDPF-M 1 2 3 4 5 28 30 32 34 36 38

Mass Number A E(2+

1) (MeV)

2+

1

4+

1

Mg

Exp. SDPF-M SDPF-U-MIX 0.02 0.04 0.06 16 18 20 22 24 26

B(E2; 0+

gs→ 21 +) (e2b2)

Neutron Number N

Exp SDPF-M SDPF-U-MIX

• B. Pritychenko et al., PLB 461, 322 (2009).
• H. Iwasaki et al., PLB 620, 118 (2005).
• J. Gibelin et al., PRC 75, 057306 (2007).

SDPF-M: Y. Utsuno et al., PRC 60, 054315 (1999). SDPF-U-MIX: E. Caurier et al., arXiv:1309.6955.

SLIDE 36

Inelastic Scattering of Ne and Mg isotopes

Level, E(2+

1 ), E(4+ 1 ), and B(E2)↑ Systematics around the IoI

RIBF Discussion Plus!, April 25th, 2014 – 19

• Inelastic scattering of 28,30Ne and 34,36Mg
• 0.095g/cm2 liquid hydrogen target
• 45 MeV/u at center-of-target
• S. Michimasa et al., PRC, accepted.

SLIDE 37

Inelastic Scattering of Ne and Mg isotopes

Level, E(2+

1 ), E(4+ 1 ), and B(E2)↑ Systematics around the IoI

RIBF Discussion Plus!, April 25th, 2014 – 19

• Inelastic scattering of 28,30Ne and 34,36Mg
• 0.095g/cm2 liquid hydrogen target
• 45 MeV/u at center-of-target
• δc = (4π/3eZR0)B(E2)↑1/2, R0 = 1.2A1/3 fm
• Maximum deformation lengths (and parameters

β(p,p′)) in Mg isotopes

• S. Michimasa et al., PRC, accepted.

SLIDE 38

Inelastic Scattering of Ne and Mg isotopes

Level, E(2+

1 ), E(4+ 1 ), and B(E2)↑ Systematics around the IoI

RIBF Discussion Plus!, April 25th, 2014 – 19

• Inelastic scattering of 28,30Ne and 34,36Mg
• 0.095g/cm2 liquid hydrogen target
• 45 MeV/u at center-of-target
• δc = (4π/3eZR0)B(E2)↑1/2, R0 = 1.2A1/3 fm
• Maximum deformation lengths (and parameters

β(p,p′)) in Mg isotopes

• Better theoretical agreement for Mg isotopes
• S. Michimasa et al., PRC, accepted.

SLIDE 39

Odd-Even Na Isotopes

Level, E(2+

1 ), E(4+ 1 ), and B(E2)↑ Systematics around the IoI

RIBF Discussion Plus!, April 25th, 2014 – 20

SLIDE 40

In-Beam Status on Na Isotopes

Level, E(2+

1 ), E(4+ 1 ), and B(E2)↑ Systematics around the IoI

RIBF Discussion Plus!, April 25th, 2014 – 21

• Rather limited knowledge
• B. Pritychenko et al., PRC 63, 011305(R) (2000).

PD, HS et al., PRC 81, 041305(R) (2010).

• A. Gade et al., PRC 83, 044305 (2011).

PD, HS, ST, YU et al., PTEP , accepted.

SLIDE 41

In-Beam Status on Na Isotopes

Level, E(2+

1 ), E(4+ 1 ), and B(E2)↑ Systematics around the IoI

RIBF Discussion Plus!, April 25th, 2014 – 21

• Rather limited knowledge
• Intermediate-energy Coulex of 31Na: βC,A = 0.59(10)

for 3/2+

g.s. → 5/2+ and 3/2+ g.s. → 7/2+

• B. Pritychenko et al., PRC 63, 011305(R) (2000).

PD, HS et al., PRC 81, 041305(R) (2010).

• A. Gade et al., PRC 83, 044305 (2011).

PD, HS, ST, YU et al., PTEP , accepted.

SLIDE 42

In-Beam Status on Na Isotopes

Level, E(2+

1 ), E(4+ 1 ), and B(E2)↑ Systematics around the IoI

RIBF Discussion Plus!, April 25th, 2014 – 21

• Rather limited knowledge
• Intermediate-energy Coulex of 31Na: βC,A = 0.59(10)

for 3/2+

g.s. → 5/2+ and 3/2+ g.s. → 7/2+

• Extended spectroscopical information for 31,33,35Na
• B. Pritychenko et al., PRC 63, 011305(R) (2000).

PD, HS et al., PRC 81, 041305(R) (2010).

• A. Gade et al., PRC 83, 044305 (2011).

PD, HS, ST, YU et al., PTEP , accepted.

Counts / 25 keV 100 200 300 400

<4

γ

Na, M

33

a) 50 100

< 3

γ

M

600 700 800 20 40

= 3

γ

M

Counts / 25 keV 10 20 30 40

<4

γ

Na, M

34

b)

Energy (keV) 500 1000 1500 2000 Counts / 25 keV 20 40 60 80

<4

γ

Na, M

35

c) 500 1000 5 10 15

SLIDE 43

In-Beam Status on Na Isotopes

Level, E(2+

1 ), E(4+ 1 ), and B(E2)↑ Systematics around the IoI

RIBF Discussion Plus!, April 25th, 2014 – 21

• Rather limited knowledge
• Intermediate-energy Coulex of 31Na: βC,A = 0.59(10)

for 3/2+

g.s. → 5/2+ and 3/2+ g.s. → 7/2+

• Extended spectroscopical information for 31,33,35Na
• Close-to-ideal K = 3/2 rotational bands in the strong-

coupling limit

• B. Pritychenko et al., PRC 63, 011305(R) (2000).

PD, HS et al., PRC 81, 041305(R) (2010).

• A. Gade et al., PRC 83, 044305 (2011).

PD, HS, ST, YU et al., PTEP , accepted.

Counts / 25 keV 100 200 300 400

<4

γ

Na, M

33

a) 50 100

< 3

γ

M

600 700 800 20 40

= 3

γ

M

Counts / 25 keV 10 20 30 40

<4

γ

Na, M

34

b)

Energy (keV) 500 1000 1500 2000 Counts / 25 keV 20 40 60 80

<4

γ

Na, M

35

c) 500 1000 5 10 15

0.5 1 1.5 2 20 22 24 31 33 35 Neutron Number N Mass Number A Ex (MeV)

3/2(+) (5/2+) (7/2+) 0.375 1.162 (3/2+) (5/2+) (7/2+) (9/2+) 0.425 1.115 1.875 (3/2+) (5/2+) (7/2+) 0.373 1.014

Exp. SDPF-M 3/2+

1

SDPF-M 5/2+

1

SDPF-M 7/2+

1

SDPF-M 9/2+

1

SLIDE 44

In-Beam Status on Na Isotopes

Level, E(2+

1 ), E(4+ 1 ), and B(E2)↑ Systematics around the IoI

RIBF Discussion Plus!, April 25th, 2014 – 21

• Rather limited knowledge
• Intermediate-energy Coulex of 31Na: βC,A = 0.59(10)

for 3/2+

g.s. → 5/2+ and 3/2+ g.s. → 7/2+

• Extended spectroscopical information for 31,33,35Na
• Close-to-ideal K = 3/2 rotational bands in the strong-

coupling limit

• [E(7/2+

1 ) − E(3/2+ gs)]/[E(5/2+ 1 ) − E(3/2+ gs)] = 2.4 and

[E(9/2+

1 ) − E(3/2+ gs)]/[E(7/2+ 1 ) − E(3/2+ gs)] = 1.75

• B. Pritychenko et al., PRC 63, 011305(R) (2000).

PD, HS et al., PRC 81, 041305(R) (2010).

• A. Gade et al., PRC 83, 044305 (2011).

PD, HS, ST, YU et al., PTEP , accepted.

Counts / 25 keV 100 200 300 400

<4

γ

Na, M

33

a) 50 100

< 3

γ

M

600 700 800 20 40

= 3

γ

M

Counts / 25 keV 10 20 30 40

<4

γ

Na, M

34

b)

Energy (keV) 500 1000 1500 2000 Counts / 25 keV 20 40 60 80

<4

γ

Na, M

35

c) 500 1000 5 10 15

0.5 1 1.5 2 20 22 24 31 33 35 Neutron Number N Mass Number A Ex (MeV)

3/2(+) (5/2+) (7/2+) 0.375 1.162 (3/2+) (5/2+) (7/2+) (9/2+) 0.425 1.115 1.875 (3/2+) (5/2+) (7/2+) 0.373 1.014

Exp. SDPF-M 3/2+

1

SDPF-M 5/2+

1

SDPF-M 7/2+

1

SDPF-M 9/2+

1

SLIDE 45

In-Beam Status on Na Isotopes

Level, E(2+

1 ), E(4+ 1 ), and B(E2)↑ Systematics around the IoI

RIBF Discussion Plus!, April 25th, 2014 – 21

• Rather limited knowledge
• Intermediate-energy Coulex of 31Na: βC,A = 0.59(10)

for 3/2+

g.s. → 5/2+ and 3/2+ g.s. → 7/2+

• Extended spectroscopical information for 31,33,35Na
• Close-to-ideal K = 3/2 rotational bands in the strong-

coupling limit

• [E(7/2+

1 ) − E(3/2+ gs)]/[E(5/2+ 1 ) − E(3/2+ gs)] = 2.4 and

[E(9/2+

1 ) − E(3/2+ gs)]/[E(7/2+ 1 ) − E(3/2+ gs)] = 1.75

• Experiment: 3.10(4), 2.62(4), and 2.72(6) for 31,33,35Na and

1.68(3) for 33Na 9/2+ → 7/2+ decay

• B. Pritychenko et al., PRC 63, 011305(R) (2000).

PD, HS et al., PRC 81, 041305(R) (2010).

• A. Gade et al., PRC 83, 044305 (2011).

PD, HS, ST, YU et al., PTEP , accepted.

Counts / 25 keV 100 200 300 400

<4

γ

Na, M

33

a) 50 100

< 3

γ

M

600 700 800 20 40

= 3

γ

M

Counts / 25 keV 10 20 30 40

<4

γ

Na, M

34

b)

Energy (keV) 500 1000 1500 2000 Counts / 25 keV 20 40 60 80

<4

γ

Na, M

35

c) 500 1000 5 10 15

0.5 1 1.5 2 20 22 24 31 33 35 Neutron Number N Mass Number A Ex (MeV)

3/2(+) (5/2+) (7/2+) 0.375 1.162 (3/2+) (5/2+) (7/2+) (9/2+) 0.425 1.115 1.875 (3/2+) (5/2+) (7/2+) 0.373 1.014

Exp. SDPF-M 3/2+

1

SDPF-M 5/2+

1

SDPF-M 7/2+

1

SDPF-M 9/2+

1

SLIDE 46

In-Beam Status on Na Isotopes

Level, E(2+

1 ), E(4+ 1 ), and B(E2)↑ Systematics around the IoI

RIBF Discussion Plus!, April 25th, 2014 – 21

• Rather limited knowledge
• Intermediate-energy Coulex of 31Na: βC,A = 0.59(10)

for 3/2+

g.s. → 5/2+ and 3/2+ g.s. → 7/2+

• Extended spectroscopical information for 31,33,35Na
• Close-to-ideal K = 3/2 rotational bands in the strong-

coupling limit

• [E(7/2+

1 ) − E(3/2+ gs)]/[E(5/2+ 1 ) − E(3/2+ gs)] = 2.4 and

[E(9/2+

1 ) − E(3/2+ gs)]/[E(7/2+ 1 ) − E(3/2+ gs)] = 1.75

• Experiment: 3.10(4), 2.62(4), and 2.72(6) for 31,33,35Na and

1.68(3) for 33Na 9/2+ → 7/2+ decay

• Good agreement with SDPF-M interaction
• B. Pritychenko et al., PRC 63, 011305(R) (2000).

PD, HS et al., PRC 81, 041305(R) (2010).

• A. Gade et al., PRC 83, 044305 (2011).

PD, HS, ST, YU et al., PTEP , accepted.

Counts / 25 keV 100 200 300 400

<4

γ

Na, M

33

a) 50 100

< 3

γ

M

600 700 800 20 40

= 3

γ

M

Counts / 25 keV 10 20 30 40

<4

γ

Na, M

34

b)

Energy (keV) 500 1000 1500 2000 Counts / 25 keV 20 40 60 80

<4

γ

Na, M

35

c) 500 1000 5 10 15

0.5 1 1.5 2 20 22 24 31 33 35 Neutron Number N Mass Number A Ex (MeV)

3/2(+) (5/2+) (7/2+) 0.375 1.162 (3/2+) (5/2+) (7/2+) (9/2+) 0.425 1.115 1.875 (3/2+) (5/2+) (7/2+) 0.373 1.014

Exp. SDPF-M 3/2+

1

SDPF-M 5/2+

1

SDPF-M 7/2+

1

SDPF-M 9/2+

1

SLIDE 47

Experimental Borders of “Island of Inversion”

Level, E(2+

1 ), E(4+ 1 ), and B(E2)↑ Systematics around the IoI

RIBF Discussion Plus!, April 25th, 2014 – 22

SLIDE 48

Overview of Deformed Nuclei

Level, E(2+

1 ), E(4+ 1 ), and B(E2)↑ Systematics around the IoI

RIBF Discussion Plus!, April 25th, 2014 – 23

• 30Si

31Si 32Si 33Si 34Si 35Si 36Si 37Si 38Si 39Si 40Si 41Si 42Si 29Al 30Al 31Al 32Al 33Al 34Al 35Al 36Al 37Al 38Al 39Al 40Al 41Al 28Mg 29Mg 30Mg 31Mg 32Mg 33Mg 34Mg 35Mg 36Mg 37Mg 38Mg 39Mg 40Mg 27Na 28Na 29Na 30Na 31Na 32Na 33Na 34Na 35Na 36Na 37Na 38Na 39Na 26Ne 27Ne 28Ne 29Ne 30Ne 31Ne 32Ne 33Ne 34Ne 35Ne 36Ne 37Ne 38Ne 25F 26F 27F 28F 29F 30F 31F 32F 33F 34F 35F 36F 37F

N = 16 N = 18 N = 20 N = 22 N = 24 N = 26 N = 28 Z = 10 Z = 12 Z = 14

228(41) 350(50) 215(10) 132(23) 270(16) 113(33) ? 413(29) 84(33) ? 570(100) 190(60) ? ? 190(70) ? ? ? ? 2018 1473 2235 1310 1482 1942 792(4) 885 3328 722(9) 652(6) 1408 ? 660(6) 1084 656(6) 986(5) ? 742(8) ? 4020 5280 (3010) (3381) (5220) (2235) 2322 ? ? (2047) (2850) ? (2032) (2232) (2016) (2525) ? (2173) ? 2.7 2.4 (2.3) (2.3) (2.7) (2.8) 2.6 ? ? (3.1) (2.0) ? (3.1) (2.1) (3.1) (2.6) ? (2.9) ( 5

2 +) 5 2 + 5 2 +

1+ ( 3

2 +)

1+

3 2 +

3+

3 2 +

( 5

2 +) 3 2 +

( 3

2 , 5 2 )+

?? ( 3

2 +)

2+

1 2 (+)

1+ ( 3

2 +)

( 5

2 +) 3 2 (+) 5 2 +

?? ( 3

2 −)

(3, 4)−

? 2 ?

4−

? 2 ? ? 2 ?

( 3

2 )+ ? 2 ?

??

? 2 ?

?? ( 7

2 −)

?? ( 7

2 −) ? 2 ?

( 3

2 +)

( 3

2 +)

( 7

2 −)

?? ( 7

2 −)

( 3

2 +)

( 3

2 +)

??

? 2 ?

( 3

2 +)

even-even

B(E2↑) E(2+

1 )

E(4+

1 ) E(4+

1 )

E(2+

1 )

SLIDE 49

Summary and Outlook

Level, E(2+

1 ), E(4+ 1 ), and B(E2)↑ Systematics around the IoI

RIBF Discussion Plus!, April 25th, 2014 – 24

SLIDE 50

Summary and Outlook

Introduction E(2+

1 ) and E(4+ 1 )

Systematics B(E2)↑ and δ Odd-Even Na Isotopes Overview Summary and Outlook ❖ Summary Level, E(2+

1 ), E(4+ 1 ), and B(E2)↑ Systematics around the IoI

RIBF Discussion Plus!, April 25th, 2014 – 25

• 40Mg may be last 2+

1 in this region of nuclear chart that

can be accessed via in-beam γ-ray spectroscopy

✦

AME2012: S(2n) for 34Ne = 300(100) keV

• All neutron-rich Na, Mg isotopes deformed
• Where is the maximum of deformation?

✦

Data indicate Mg isotopes

✦

Sparse information on Ne isotopes

✦

Should remeasure B(E2)↑ of 26,28Ne at safe energies

• Most spin assignments follow systematics and

comparison to calculations

✦

Inelastic scattering at lower energies

✦

1-nucleon knockout reactions, e.g. 29Ne

SLIDE 51

THE END

Level, E(2+

1 ), E(4+ 1 ), and B(E2)↑ Systematics around the IoI

RIBF Discussion Plus!, April 25th, 2014 – 26

SLIDE 52

Introduction E(2+

1 ) and E(4+ 1 )

Systematics B(E2)↑ and δ Odd-Even Na Isotopes Overview Summary and Outlook Level, E(2+

1 ), E(4+ 1 ), and B(E2)↑ Systematics around the IoI

RIBF Discussion Plus!, April 25th, 2014 – 27

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