isolde nuclear reaction and nuclear structure course 22-25 april 2014

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ISOLDE Nuclear Reaction and Nuclear Structure Course 22-25 April 2014 Nuclear Reaction at Intermediate to Relativistic Energies: what data tell us (I)

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ISOLDE Nuclear Reaction and Nuclear Structure Course 22-25 April 2014. Nuclear Reaction at Intermediate to Relativistic Energies: what data tell us (I). - PowerPoint PPT Presentation

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Page 1: ISOLDE Nuclear Reaction  and  Nuclear  Structure  Course 22-25 April 2014

ISOLDE Nuclear Reaction and

Nuclear Structure Course22-25 April 2014

Nuclear Reaction at Intermediate to Relativistic Energies: what data tell us (I)

Page 2: ISOLDE Nuclear Reaction  and  Nuclear  Structure  Course 22-25 April 2014

Jeg kender ikke meget til meget;det jeg kender til er i forvejen meget udbredt.Tœnk at vide bare een bestemt ting,for eksempel forholdet mellem mariehønens pletter.

Benny Andersen,Viden1965

I do not know much about anything;what I know is already commonplace.Wouldn’t it be nice to know just one fact,for example the proportions of the spots of the ladybird.

Page 3: ISOLDE Nuclear Reaction  and  Nuclear  Structure  Course 22-25 April 2014

Nobel Symposium NS 152

Phys. Scr. T 152(2013)

Page 4: ISOLDE Nuclear Reaction  and  Nuclear  Structure  Course 22-25 April 2014

GSI

ISOLDE

GANILGANIL/SPIRAL

THEORY

Page 5: ISOLDE Nuclear Reaction  and  Nuclear  Structure  Course 22-25 April 2014

2H1H 5Hunbound

7H7Hunbound

3He 4He 5Heunbound

6He808 ms

7Heunbound

8He119 ms

9Heunbound

10Heunbound

6Li 7Li 8Li840 ms

9Li179 ms

10Liunbound

11Li8.5 ms

7Be 8Beunbound

9Be 10Be1.6 106 y

11Be13.8 s

12Be23.6 ms

13Beunbound

14Be4.35 ms

9Bunbound

10B 11B 12B20.20 ms

13B17.33 ms

14B13.8 ms

15B10.4 ms

8B770 ms

16Bunbound

17B5.1 ms

n10.25 m

3H12.323 y

12Liunbound

13Liunbound

9C125 ms

10C19.3 s

11C20.4 m

12C 13C 14C5730 y

15C2.45 s

16C0.747 s

17C193 ms

18C92 ms

12N20.4 m

13N20.4 m

14N 15N

16O 17O 18O

19F

11Nunbound

13O8.58 ms

14O70.6 s

15O2.03 m

17F64.8 s

18F109.7 m

16N7.13 s

17N4.17 s

18N0.63 s

19N329 ms

19O27.1 s

20F11 s

20O13.5 s

21F4.16 s

12Ounbound

15Funbound

16Funbound

Light Nuclei in NatureProton RichNeutron RichResonances

N

Z

16Beunbound

15Beunbound

Page 6: ISOLDE Nuclear Reaction  and  Nuclear  Structure  Course 22-25 April 2014

SpinsMoments

MomentumDistributions

ReactionCross Sections

BetaDecay

UnboundNuclei

Experimental Studies of Dripline Nuclei

MassesMatter Radii

CorrelationsMomentum

Profile Function

ChargeRadii

Elastic Scattering

Page 7: ISOLDE Nuclear Reaction  and  Nuclear  Structure  Course 22-25 April 2014

2H1H 5Hunbound

7H7Hunbound

3He 4He 5Heunbound

7Heunbound

8He119 ms

9Heunbound

10Heunbound

6Li 7Li 8Li840 ms

9Li179 ms

10Liunbound

11Li8.5 ms

7Be 8Beunbound

9Be 10Be1.6 106 y

11Be13.8 s

12Be23.6 ms

13Beunbound

14Be4.35 ms

9Bunbound

10B 11B 12B20.20 ms

13B17.33 ms

14B13.8 ms

15B10.4 ms

8B770 ms

16Bunbound

17B5.1 ms

n10.25 m

3H12.323 y

12Liunbound

13Liunbound

9C125 ms

10C19.3 s

11C20.4 m

12C 13C 14C5730 y

15C2.45 s

16C0.747 s

17C193 ms

18C92 ms

12N20.4 m

13N20.4 m

14N 15N

16O 17O 18O

19F

11Nunbound

13O8.58 ms

14O70.6 s

15O2.03 m

17F64.8 s

18F109.7 m

16N7.13 s

17N4.17 s

18N0.63 s

19N329 ms

19O27.1 s

20F11 s

20O13.5 s

21F4.16 s

12Ounbound

15Funbound

16Funbound

N

Z

16Beunbound

15Beunbound

6He808 ms

Page 8: ISOLDE Nuclear Reaction  and  Nuclear  Structure  Course 22-25 April 2014

6He

Page 9: ISOLDE Nuclear Reaction  and  Nuclear  Structure  Course 22-25 April 2014

3He 4He 5Heunbound

6He808 ms

7Heunbound

8He119 ms

9Heunbound

10Heunbound

Page 10: ISOLDE Nuclear Reaction  and  Nuclear  Structure  Course 22-25 April 2014

W(qan) = 1 + 1.5(3)cos2(qan)

L.V. Chulkov et al., PRL 79 (1997) 201

W(qan) = 1 + 3cos2(qan)

Page 11: ISOLDE Nuclear Reaction  and  Nuclear  Structure  Course 22-25 April 2014

L.V. Chulkov, G. Schrieder, Z. Phys A359 (97) 231

(p1/2)2 ~ 7 %

W(qan) = 1 + 1.5(3)cos2(qan)

Page 12: ISOLDE Nuclear Reaction  and  Nuclear  Structure  Course 22-25 April 2014

)(EΓEEE)(EΓ

dEdσfnlfnfnlr

fnlfn 2

412])([

/

Page 13: ISOLDE Nuclear Reaction  and  Nuclear  Structure  Course 22-25 April 2014

)(211)cot(

)sin()cos(1

420

22

22

fnfnfn

fnfnfn

fn

pOpra

p

pk

pkp

dEd

fm)(.aMeV)(.ε

μεk

3837323940

2

)(EΓEEE)(EΓ

dEdσfnlfnfnlr

fnlfn 2

412])([

/

Yu. Aksyutina et al., PLB 679 (2009) 191

s-wave: Effective-range approximation

Bertch et al., PRC 57 (1998) 1366

~ 9 %

B.V. Danilin et al., NPA 632 (98) 383

(p3/2)2 ~ 86 %(p1/2)2 ~ 5 %(s1/2)2 ~ 7 %

e≈ S2n

Page 14: ISOLDE Nuclear Reaction  and  Nuclear  Structure  Course 22-25 April 2014

Yu. Aksyutina et al., PLB 679 (2009) 191

K. Markenroth et al., NP A679 (2001) 462

440 keV

Page 15: ISOLDE Nuclear Reaction  and  Nuclear  Structure  Course 22-25 April 2014

Yu. Aksyutina et al., PLB 679 (2009) 191

:

Page 16: ISOLDE Nuclear Reaction  and  Nuclear  Structure  Course 22-25 April 2014

Momentum Profile Function

Page 17: ISOLDE Nuclear Reaction  and  Nuclear  Structure  Course 22-25 April 2014

Transverse Momentum Distribution

P.G. Hansen, PRL 77 (1996) 1016D. Basin et al., Phys. Rev. C 57 (1998) 2156

Page 18: ISOLDE Nuclear Reaction  and  Nuclear  Structure  Course 22-25 April 2014

Yu. Aksyutina et al., PLB 718 (2013) 1309

Page 19: ISOLDE Nuclear Reaction  and  Nuclear  Structure  Course 22-25 April 2014
Page 20: ISOLDE Nuclear Reaction  and  Nuclear  Structure  Course 22-25 April 2014

6He806 ms

8He119 ms

7He806 ms

9He806 ms

9Li179 ms

10Li806 ms

11Li8.5 ms

11Be13.8 s

12Be23.6 ms

14Be4.35 ms

13Be806 ms

Vnn

VCnVCn

Unbound

Bound

N=8

11LiSn=369 keV

Page 21: ISOLDE Nuclear Reaction  and  Nuclear  Structure  Course 22-25 April 2014

M.V. Zhukov et al. Phys. Rep. 231 (1993) 151

BORROMEAN

Isola Bella, Lago Maggiore

P.G. Hansen et al.

Ann.Rev.Nucl.Part. Sci. 45 (1995) 591 S.E. Pollack et al. Science 326 (2009) 1683

Page 22: ISOLDE Nuclear Reaction  and  Nuclear  Structure  Course 22-25 April 2014

W(qnf) = 1-1.03cos (qnf) + 1.41cos2(qnf)

GSI, 287 MeV/u 11Li

pn1=-(pn2+p9Li)

s p

d

Simon, et al., Nucl. Phys. A791 (2007) 267.

Page 23: ISOLDE Nuclear Reaction  and  Nuclear  Structure  Course 22-25 April 2014

Momentum Profile Function

Page 24: ISOLDE Nuclear Reaction  and  Nuclear  Structure  Course 22-25 April 2014

(0d5/2)2

11(2) %

Aksyutina et al. PLB 718 (2013) 1309

Page 25: ISOLDE Nuclear Reaction  and  Nuclear  Structure  Course 22-25 April 2014

m(11Li) = 3.6712(3) mNSi [LiF]

6Li 7Li 8Li840 ms

9Li179 ms

10Liunbound

11Li8.5 ms

12Liunbound

13Liunbound

|Q(11Li)| = 33.3(5) mbZn [LiNbO3]

|Q(11Li)/Q(9Li)| = 1.088(15)

R. Neugart et al., PRL 101(2008) 132502

D. Borremans et al., PRC 72 (2005) 044309

Ip=3/2- Ip=3/2-

Page 26: ISOLDE Nuclear Reaction  and  Nuclear  Structure  Course 22-25 April 2014

GANIL41 MeV/u 14B, C target

7Be 8Beunbound

9Be 10Be1.6 106 y

11Be13.8 s

12Be23.6 ms

13Beunbound

14Be4.35 ms

16Beunbound

J.L. Lecouey, Few Body Systems 34 (2004)21G. Randisi, Thesis Uni. Caen (2011)

15Beunbound

Spyrou et al.,, PRL 108(2012) 102501

Snyder et al.,, PRC 88(2013) 031303

15Be

16Be

14Be4.35 ms

16Beunbound

15Beunbound

17B5.1 ms

Page 27: ISOLDE Nuclear Reaction  and  Nuclear  Structure  Course 22-25 April 2014

Y. Kondo et al., PLB 690 (2010) 245

RIKEN69 MeV/u 14Be, Lq H target

Page 28: ISOLDE Nuclear Reaction  and  Nuclear  Structure  Course 22-25 April 2014

GSI304 MeV/u 14Be, Lq H target

Yu. Aksyutina et al., Phys. Rev. C 87 (2013) 064316

Page 29: ISOLDE Nuclear Reaction  and  Nuclear  Structure  Course 22-25 April 2014

RIKEN 69 MeV/u

GSI 304 MeV/u

Page 30: ISOLDE Nuclear Reaction  and  Nuclear  Structure  Course 22-25 April 2014

INTERFERENCE ?

Page 31: ISOLDE Nuclear Reaction  and  Nuclear  Structure  Course 22-25 April 2014

Yu. Aksyutina et al., Phys. Rev. C 87 (2013) 064316

Page 32: ISOLDE Nuclear Reaction  and  Nuclear  Structure  Course 22-25 April 2014

2H1H 5Hunbound

7H7Hunbound

3He 4He 5Heunbound

6He808 ms

7Heunbound

8He119 ms

9Heunbound

10Heunbound

6Li 7Li 8Li840 ms

9Li179 ms

10Liunbound

11Li8.5 ms

7Be 8Beunbound

9Be 10Be1.6 106 y

11Be13.8 s

12Be23.6 ms

13Beunbound

14Be4.35 ms

9Bunbound

10B 11B 12B20.20 ms

13B17.33 ms

14B13.8 ms

15B10.4 ms

8B770 ms

16Bunbound

17B5.1 ms

n10.25 m

3H12.323 y

12Liunbound

13Liunbound

9C125 ms

10C19.3 s

11C20.4 m

12C 13C 14C5730 y

15C2.45 s

16C0.747 s

17C193 ms

18C92 ms

12N20.4 m

13N20.4 m

14N 15N

16O 17O 18O

19F

11Nunbound

13O8.58 ms

14O70.6 s

15O2.03 m

17F64.8 s

18F109.7 m

16N7.13 s

17N4.17 s

18N0.63 s

19N329 ms

19O27.1 s

20F11 s

20O13.5 s

21F4.16 s

12Ounbound

15Funbound

16Funbound

N

Z

16Beunbound

15Beunbound

Page 33: ISOLDE Nuclear Reaction  and  Nuclear  Structure  Course 22-25 April 2014

5Heunbound

10Liunbound

7Hunbound

4He 6He808 ms

7Heunbound

8He119 ms

9Heunbound

10Heunbound

6Li 7Li 8Li840 ms

9Li179 ms

11Li8.5 ms

7Be 8Beunbound

9Be 10Be1.6 106 y

11Be13.8 s

12Be23.6 ms

13Beunbound

14Be4.35 ms

12Liunbound

13Liunbound

11Li: Neutron knock-out reaction -> 10LiProton knock-out reactions ->

9,10He14Be: Neutron knock-out reaction -> 13BeProton knock-out reactions ->

12,13Li 8He: Neutron knock-out reaction -> 7He

Proton knock-out reaction -> (7H)

Dripline nuclei as stepping stones towards the unbound

Page 34: ISOLDE Nuclear Reaction  and  Nuclear  Structure  Course 22-25 April 2014
Page 35: ISOLDE Nuclear Reaction  and  Nuclear  Structure  Course 22-25 April 2014

10Liunbound

6Li 7Li 8Li840 ms

9Li179 ms

11Li8.5 ms

12Liunbound

13Liunbound

Forssén et al. Nucl. Phys. A 673(2000) 143

Yu. Aksyutina et al., Phys. Lett. B 666 (2008) 430

Page 36: ISOLDE Nuclear Reaction  and  Nuclear  Structure  Course 22-25 April 2014

Al Kalanee et al., PRC 88 (2013) 034301

3He 4He 5Heunbound

6He808 ms

7Heunbound

8He119 ms

9Heunbound

10Heunbound

Johansson et al., Nucl. Phys. A842 (2010) 15

8He+n

Page 37: ISOLDE Nuclear Reaction  and  Nuclear  Structure  Course 22-25 April 2014

Neyman-Pearson test

3He 4He 5Heunbound

6He808 ms

7Heunbound

8He119 ms

10Heunbound

9Heunbound

8He+n+n

Johansson et al., Nucl. Phys. A842 (2010) 15

Page 38: ISOLDE Nuclear Reaction  and  Nuclear  Structure  Course 22-25 April 2014

8He+n+n

efn= Efn/E enn= Enn/E

(s1/2)2 ~ 37 %(p1/2)2 ~ 47 %(p3/2)2 ~ 9 %

N.B. Shulgina et al., Nucl. Phys. A825 (2009) 175

9Heunbound

10Heunbound

11Li8.5 ms

Page 39: ISOLDE Nuclear Reaction  and  Nuclear  Structure  Course 22-25 April 2014

T

Y

0 – 3 MeV

Restricted series of hyperspherical harmonics assuming

Ip = 0+ and K ≤ 2

Energy and angular correlations

Page 40: ISOLDE Nuclear Reaction  and  Nuclear  Structure  Course 22-25 April 2014

3 – 7 MeV

T

Y

Restricted series of hyperspherical harmonics assuming

Ip = 2+ and K ≤ 4

Energy and angular correlations

Page 41: ISOLDE Nuclear Reaction  and  Nuclear  Structure  Course 22-25 April 2014

Johansson et al., Nucl. Phys. A847 (2010) 66

Page 42: ISOLDE Nuclear Reaction  and  Nuclear  Structure  Course 22-25 April 2014

7Be 8Beunbound

9Be 10Be1.6 106 y

11Be13.8 s

12Be23.6 ms

13Beunbound

14Be4.35 ms

16Beunbound

Ip=2+

15Beunbound

RIKEN68 MeV/u 14Be,

12C target

Sugimoto et al., Phys. Lett. B654 (2007) 160

Page 43: ISOLDE Nuclear Reaction  and  Nuclear  Structure  Course 22-25 April 2014

Yu. Aksyutina et al., PRL 111, 242501 (2013)

Page 44: ISOLDE Nuclear Reaction  and  Nuclear  Structure  Course 22-25 April 2014

efn= Efn/E

Page 45: ISOLDE Nuclear Reaction  and  Nuclear  Structure  Course 22-25 April 2014

[2,0] [0,2]

[2,2]

2 MeV < Efnn < 3 MeV

E* = 3.54(16) MeV, G = 1.5 MeVIp = 2+ (1s1/2,0d5/2) ≈ 90 %

L.M. Delves, Nucl. Phys. 20 (1960) 275

Page 46: ISOLDE Nuclear Reaction  and  Nuclear  Structure  Course 22-25 April 2014

0.5 MeV < Efnn < 1.0 MeV

Page 47: ISOLDE Nuclear Reaction  and  Nuclear  Structure  Course 22-25 April 2014
Page 48: ISOLDE Nuclear Reaction  and  Nuclear  Structure  Course 22-25 April 2014

Sequential Decay

Page 49: ISOLDE Nuclear Reaction  and  Nuclear  Structure  Course 22-25 April 2014

C.R. Hoffman et al., PLB 672 (2009) 17

R. Kanungo et al., PRL 102 (2009) 152501

GSI

MSU

S=1.74(19) 2+: 4.7 MeV

Page 50: ISOLDE Nuclear Reaction  and  Nuclear  Structure  Course 22-25 April 2014

T. Otsuka et al., PRL 105 (2010) 032501

N.A. Smirnova et al., PLB 686 (2010) 109

T. Otsuka et al., PRL 104 (2010) 032501

Page 51: ISOLDE Nuclear Reaction  and  Nuclear  Structure  Course 22-25 April 2014

23O82 ms

24O61 ms

25Ounbound

24F0.34 s

25F50 ms

26F10.2 ms

27F4.9 ms

28Funbound

29F2.6 ms

C.R. Hoffman et al. PRL 100 (2008) 152502

26Ounbound

30Funbound

31F>260 ns

28Ounbound

GSI : Data September 2010

Shell gap n1s1/2 – n0d3/2

4.86(13) MeV

Edecay=770 keV, G= 172 keV, l=2

MoNA

B. Juradoet al. PLB 649 (2007) 43

Page 52: ISOLDE Nuclear Reaction  and  Nuclear  Structure  Course 22-25 April 2014

23O82 ms

24O61 ms

25Ounbound

24F0.34 s

25F50 ms

26F10.2 ms

27F4.9 ms

28Funbound

29F2.6 ms

26Ounbound

30Funbound

31F>260 ns

28Ounbound

GSI : Data September 2010

C. Caesar et al. PRC 88 (2013) 034313

E. Lunderberg et al. PRL 108 (2012) 142503

Two-neutron radioactivity ?L.V. Grigorenko et al. PRL 111 (2013) 042501

Z. Kohley et al. PRL 110 (2013) 152501

Page 53: ISOLDE Nuclear Reaction  and  Nuclear  Structure  Course 22-25 April 2014

Z. Kohley et al. PRL 110 (2013) 152501Negative log-likelihood

(-ln[L])

Page 54: ISOLDE Nuclear Reaction  and  Nuclear  Structure  Course 22-25 April 2014

To view the world in this wayIs to see it with the eyes of a gambler.Our best choice is to cast the die again and again.To let it keep rolling in the hopeThat it will give returns high enoughto inspire new expectations.

Att betrakta världen så är att se på den med tärningsögon.Vårt bästa val är att kasta tärningen ofta, ofta.Att ständigt låta den rulla, att den må falla utmed en kvot stor nogför en ny förväntan att andas. Harry Martinson

Tärningspelet, 1971