AARHUS UNIVERSITY 12 C and 3 studied with

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AARHUS UNIVERSITY 12 C and 3 studied with small accelerators • Introduction to the

AARHUS UNIVERSITY 12 C and 3 studied with small accelerators • Introduction to the 3 reaction • 3 breakup of the Hoyle state • Search for “missing” states in 12 C 496 th WE-Heraeus-Seminar HANS FYNBO Aarhus University Denmark Bad Honnef February 6 -10 2012 1

AARHUS UNIVERSITY -0. 092 4 He+4 He g. s. 0+ 8 Be g. s.

AARHUS UNIVERSITY -0. 092 4 He+4 He g. s. 0+ 8 Be g. s. 12 C 0+ 2

AARHUS UNIVERSITY -0. 092 4 He+4 He g. s. 0+ 7. 65 0+ 7.

AARHUS UNIVERSITY -0. 092 4 He+4 He g. s. 0+ 7. 65 0+ 7. 27 8 Be 4. 44 2+ g. s. 12 C 0+ 3 3

AARHUS UNIVERSITY Quantity Value Q 3 379. 4(2)ke. V Grad/G 4. 12(11) × 10

AARHUS UNIVERSITY Quantity Value Q 3 379. 4(2)ke. V Grad/G 4. 12(11) × 10 -4 Ge+e-/G 6. 7(6) × 10 -4 9. 2 Ge+e- 59. 6(1. 5) e. V 2. 5 Chernykh 2010 G(8 Be)/Gtot >0. 96 4 Freer 1994 G(8 Be)/Gtot 0. 83(5) 6 Raduta 2011 Q 1 = -92 ke. V Ge+e- a+a Error(%) 1. 2 Hoyle state 2. 7 Q 2= -287 ke. V Gp 52. 0(1. 4) e. V 2. 7 Crannell G 2005 a +8 Be 4

AARHUS UNIVERSITY 12 C+40 Ca 25 Me. V/u 5

AARHUS UNIVERSITY 12 C+40 Ca 25 Me. V/u 5

AARHUS UNIVERSITY 3 -rate at low temperatures 8 Be resonance ar. Xiv: 1112. 2136

AARHUS UNIVERSITY 3 -rate at low temperatures 8 Be resonance ar. Xiv: 1112. 2136 v 1 [nucl-th] 6

AARHUS UNIVERSITY 3 -rate at high temperatures Haruhiko Morinaga (TUM) 7. 27 10. 84

AARHUS UNIVERSITY 3 -rate at high temperatures Haruhiko Morinaga (TUM) 7. 27 10. 84 1 - ≈10. 3 9. 64 (0+) 3 - 7. 65 0+ 4. 44 2+ g. s. 0+ 12 C J =2+ E≈9. 7 Me. V 2+ ?

AARHUS UNIVERSITY Tur et al. APJ 2010 Magkotsios et al. APJs 2010 Magkotsios et

AARHUS UNIVERSITY Tur et al. APJ 2010 Magkotsios et al. APJs 2010 Magkotsios et al. APJ 2011 The et al. APJ 1998 Phys. Lett. B 2011. Phys. Rev. C 36 (1987) 54. .

AARHUS UNIVERSITY • 3 breakup of the Hoyle state • Search for “missing” states

AARHUS UNIVERSITY • 3 breakup of the Hoyle state • Search for “missing” states in 12 C 9

AARHUS UNIVERSITY 3 He+11 B d+12 C* d+3 @ 8. 5 Me. V 3

AARHUS UNIVERSITY 3 He+11 B d+12 C* d+3 @ 8. 5 Me. V 3 He CMAM, Madrid Oliver Kirsebom (now at Triumf)

AARHUS UNIVERSITY 7. 27 12. 71 1+ 11. 83 2 - 10. 84 1

AARHUS UNIVERSITY 7. 27 12. 71 1+ 11. 83 2 - 10. 84 1 - ≈10 0, 2+ 9. 64 3 - 7. 65 0+ 4. 44 2+ g. s. 0+ 12 C 5000 events 11

AARHUS UNIVERSITY Limits: Raduta et al. DDE = 7. 5± 4 % DDE =

AARHUS UNIVERSITY Limits: Raduta et al. DDE = 7. 5± 4 % DDE = 9. 5± 4 % SD = 83± 5 % 12 (O. Kirsebom et al. to be submitted)

AARHUS UNIVERSITY • 3 breakup of the Hoyle state • Search for “missing” states

AARHUS UNIVERSITY • 3 breakup of the Hoyle state • Search for “missing” states in 12 C 13

Stellenbosch: Freer et al. (2009): 12 C(p, p´)12 C AARHUS UNIVERSITY 2+ ? 31

Stellenbosch: Freer et al. (2009): 12 C(p, p´)12 C AARHUS UNIVERSITY 2+ ? 31 - Osaka: Itoh et al. (2011): 12 C( , ´)12 C Yale : Zimmerman et al. (2011): 12 C(p, p´)12 C 3 - 33 - 1 - 14

AARHUS UNIVERSITY Journal of Physics: Conference Series 202 (2010) 012016 Journal of Physics: Conference

AARHUS UNIVERSITY Journal of Physics: Conference Series 202 (2010) 012016 Journal of Physics: Conference Series 267 (2011) 012046 15

Idea 1 : Remove 3 - state using b-decay AARHUS UNIVERSITY Only 0+, 1+,

Idea 1 : Remove 3 - state using b-decay AARHUS UNIVERSITY Only 0+, 1+, and 2+ states

AARHUS UNIVERSITY Direct Kinematics+ISOL 12 C/11 B 12 N/12 B+X p/d 12 N/12 B

AARHUS UNIVERSITY Direct Kinematics+ISOL 12 C/11 B 12 N/12 B+X p/d 12 N/12 B Magnet b Inverse Kinematics+Separator 12 N/12 B+X Magnets 12 C/11 B p/d b

AARHUS UNIVERSITY K. Jungmann H. Wilschut TRI P separator Solveig Hyldegaard 12 N/12 B

AARHUS UNIVERSITY K. Jungmann H. Wilschut TRI P separator Solveig Hyldegaard 12 N/12 B 18 R. Raabe

AARHUS UNIVERSITY 12 N 1+ Qbeta=16. 32 15. 11 1+ 12. 71 1+ ≈10

AARHUS UNIVERSITY 12 N 1+ Qbeta=16. 32 15. 11 1+ 12. 71 1+ ≈10 0+ 7. 65 0+ 4. 44 2+ g. s. 0+ 12 C

AARHUS UNIVERSITY 15. 111+ 12 B Qbeta=13. 37 12. 711+ ≈10 0+ 7. 65

AARHUS UNIVERSITY 15. 111+ 12 B Qbeta=13. 37 12. 711+ ≈10 0+ 7. 65 0+ 4. 44 2+ g. s. 0+ 12 C

AARHUS UNIVERSITY IGISOL Experiment 12 N/12 B C. Diget (York) Solveig Hyldegaard

AARHUS UNIVERSITY IGISOL Experiment 12 N/12 B C. Diget (York) Solveig Hyldegaard

AARHUS UNIVERSITY 12 N Natural parity states Qbeta=16. 32 15. 11 1+ 12. 71

AARHUS UNIVERSITY 12 N Natural parity states Qbeta=16. 32 15. 11 1+ 12. 71 1+ ≈10 7. 65 0+ 4. 44 2+ g. s. 0+ 12 C 22

AARHUS UNIVERSITY 15. 111+ 12 B Qbeta=13. 37 12. 711+ ≈10 0+ 7. 65

AARHUS UNIVERSITY 15. 111+ 12 B Qbeta=13. 37 12. 711+ ≈10 0+ 7. 65 0+ 4. 44 2+ g. s. 0+ 12 C

AARHUS UNIVERSITY PL B 678, 459 (2009) PR C 80, 044304 (2009) PR C

AARHUS UNIVERSITY PL B 678, 459 (2009) PR C 80, 044304 (2009) PR C 80, 034316 (2009) PR C 81, 024303 (2010) S. Hyldegaard, C. Diget

AARHUS UNIVERSITY How to get selectivity between 0+ and 2+ ? × 2+ ×

AARHUS UNIVERSITY How to get selectivity between 0+ and 2+ ? × 2+ × Only 1 0 +, 2 1+, and 3 2+ states

AARHUS UNIVERSITY “ -delayed” breakup C Oliver Kirsebom (Triumf) Martin Alcorta (Argonne)

AARHUS UNIVERSITY “ -delayed” breakup C Oliver Kirsebom (Triumf) Martin Alcorta (Argonne)

AARHUS UNIVERSITY 3 He+10 B p+12 C* 3 He+11 B d+12 C* p+3 d+3

AARHUS UNIVERSITY 3 He+10 B p+12 C* 3 He+11 B d+12 C* p+3 d+3 @ 4. 9 Me. V @ 8. 5 Me. V 3 He CMAM, Madrid M. Alcorta et al. , NIM A 605, 318– 325 (2009)

AARHUS UNIVERSITY 1 st case : -decay of 1+ states (proof-of-principle) 3 He+10 B

AARHUS UNIVERSITY 1 st case : -decay of 1+ states (proof-of-principle) 3 He+10 B p+12 C* p+3 3 He O. S. Kirsebom et al. , Phys. Lett. B 680, 44 -49 (2009)

AARHUS UNIVERSITY 1 st case : -decay of 1+ states (proof-of-principle) M 1 -decay

AARHUS UNIVERSITY 1 st case : -decay of 1+ states (proof-of-principle) M 1 -decay ≈ GT b-decay

AARHUS UNIVERSITY 2 nd case : -decay of 2+ T=1 state + M 1

AARHUS UNIVERSITY 2 nd case : -decay of 2+ T=1 state + M 1 >> E 2 1+ , 2+, 3+ no 0+ ! − E 1 decay populate negative parity 1 - , 2 -, 3 -

AARHUS UNIVERSITY 11 B(p, ) 400 ke. V van de Graaf in Aarhus. 2+

AARHUS UNIVERSITY 11 B(p, ) 400 ke. V van de Graaf in Aarhus. 2+ 21 - 122+ 31

AARHUS UNIVERSITY 7. 27 16. 1 2+ 15. 11 1+ 14. 08 4+ 13.

AARHUS UNIVERSITY 7. 27 16. 1 2+ 15. 11 1+ 14. 08 4+ 13. 35 (2 -) 12. 71 1+ 11. 83 2 - 10. 84 1 - ≈10 0, 2+ 9. 64 3 - 7. 65 0+ 4. 44 2+ g. s. 0+ 12 C

AARHUS UNIVERSITY 7. 27 16. 1 2+ 15. 11 1+ 14. 08 4+ 13.

AARHUS UNIVERSITY 7. 27 16. 1 2+ 15. 11 1+ 14. 08 4+ 13. 35 (2 -) 12. 71 1+ 11. 83 2 - 10. 84 1 - ≈10 0, 2+ 9. 64 3 - 7. 65 0+ 4. 44 2+ g. s. 0+ 12 C 240 h 1 n. A @ 165 ke. V 33

AARHUS UNIVERSITY 3 rd case : -decay of 2 - T=1 state 7. 27

AARHUS UNIVERSITY 3 rd case : -decay of 2 - T=1 state 7. 27 16. 6 2 - 16. 1 2+ 15. 11 1+ 14. 08 4+ 13. 35 (2 -) 12. 71 1+ 11. 83 2 - 10. 84 1 - ≈10 0, 2+ 9. 64 3 - 7. 65 0+ 4. 44 2+ g. s. 0+ 12 C 40 h 1 n. A @ 350 ke. V 34

AARHUS UNIVERSITY C. Zemach, Phys Rev. 133 (1964) 1201 : Decay to 3 Fynbo

AARHUS UNIVERSITY C. Zemach, Phys Rev. 133 (1964) 1201 : Decay to 3 Fynbo et al. Phys Rev C 79 (2009) 054009 : Decay to 3 35

AARHUS UNIVERSITY 11 B(p, ) 2 - 16. 57 Me. V 2+ 16. 11

AARHUS UNIVERSITY 11 B(p, ) 2 - 16. 57 Me. V 2+ 16. 11 Me. V 36

AARHUS UNIVERSITY Outlook 5 MV van de Graaf in Aarhus (HV 1965) Other case

AARHUS UNIVERSITY Outlook 5 MV van de Graaf in Aarhus (HV 1965) Other case where the method can be used? • 8 Be • 16 O • …. . Upgrade of detector setup

AARHUS UNIVERSITY Quantity Value Error(%) Q 3 379. 38(20)ke. V 1. 2 Grad/G 4.

AARHUS UNIVERSITY Quantity Value Error(%) Q 3 379. 38(20)ke. V 1. 2 Grad/G 4. 12(11) × 10 -4 2. 7 Ge+e-/G 6. 74(62) × 10 -4 9. 2 Ge+e- 52. 0(1. 4) e. V 2. 7 Crannell 2005 Ge+e- 59. 6(1. 5) e. V 2. 5 Chernykh G(8 Be)/Gtot >0. 96 4 Freer 1994 G(8 Be)/Gtot 0. 83(5) 6 Raduta 2011 38

AARHUS UNIVERSITY THANK YOU FOR YOUR ATTENTION !

AARHUS UNIVERSITY THANK YOU FOR YOUR ATTENTION !

AARHUS UNIVERSITY BONUS MATERIAL…

AARHUS UNIVERSITY BONUS MATERIAL…

AARHUS UNIVERSITY Natural parity states Decay channels 15. 11 1+ 12. 71 1+ ≈10

AARHUS UNIVERSITY Natural parity states Decay channels 15. 11 1+ 12. 71 1+ ≈10 0+/2+ 7. 65 0+ 7. 27 12 C The 1+ states cannot decay via the 8 Be ground state because it would require L=1 and therefore a change in parity 3. 03 2+ g. s. 0+ 8 Be+4 He -0. 092 4 He+4 He

Data FMD 1 AARHUS UNIVERSITY 0. 1 B(GT) 0. 01 0. 0001 0+ 2+

Data FMD 1 AARHUS UNIVERSITY 0. 1 B(GT) 0. 01 0. 0001 0+ 2+ 0+2 2+2 0+3 1+ 2+ 2+ 1 0. 1 B(M 1) 1+, T=1 0. 001 0. 0001 2+2 0+3 1+ 2+ 2+ 1 0. 1 B(M 1) 2+, T=1 0. 001 0+ 2+ 0+2 2+2 0+3 1+ 2+ 2+

AARHUS UNIVERSITY 15. 96 7. 27 16. 11 2+ 15. 11 1+ 14. 08

AARHUS UNIVERSITY 15. 96 7. 27 16. 11 2+ 15. 11 1+ 14. 08 4+ 13. 35 (2 -) 12. 71 1+ 11. 83 2 - 10. 84 1 - ≈10. 3 9. 64 (0 +) 3 - 7. 65 0+ 4. 44 2+ g. s. 0+ 12 C p+11 B

AARHUS UNIVERSITY 15. 96 7. 27 16. 11 2+ 15. 11 1+ 14. 08

AARHUS UNIVERSITY 15. 96 7. 27 16. 11 2+ 15. 11 1+ 14. 08 4+ 13. 35 (2 -) 12. 71 1+ 11. 83 2 - 10. 84 1 - ≈10. 3 9. 64 (0 +) 3 - 7. 65 0+ 4. 44 2+ g. s. 0+ 12 C Experimental Dalitz plots p+11 B

AARHUS UNIVERSITY 15. 96 7. 27 16. 11 2+ 15. 11 1+ 14. 08

AARHUS UNIVERSITY 15. 96 7. 27 16. 11 2+ 15. 11 1+ 14. 08 4+ 13. 35 (2 -) 12. 71 1+ 11. 83 2 - 10. 84 1 - ≈10. 3 9. 64 (0 +) 3 - 7. 65 0+ 4. 44 2+ g. s. 0+ 12 C The 13. 35 Me. V state p+11 B X √ 2– 4–

AARHUS UNIVERSITY 15. 96 7. 27 16. 11 2+ 15. 11 1+ 14. 08

AARHUS UNIVERSITY 15. 96 7. 27 16. 11 2+ 15. 11 1+ 14. 08 4+ 13. 35 (2 -) 12. 71 1+ 11. 83 2 - 10. 84 1 - ≈10. 3 9. 64 (0 +) 3 - 7. 65 0+ 4. 44 2+ g. s. 0+ 12 C The 11. 83 Me. V state 1) 2) p+11 B 2– 3) 2) 1) A. A. Korsheninnikov, Sov. J. Nucl. Phys. 52 (1990 2) H. Fynbo et al. , PRL 91 (2003) 3) R. Alvarez-Rodriguez et al. , PRL 99 (2007) 2–

AARHUS UNIVERSITY -0. 092 12 C* 8 Be 10 -16 s 4 He+4 He

AARHUS UNIVERSITY -0. 092 12 C* 8 Be 10 -16 s 4 He+4 He 3. 03 2+ ≈10 g. s. 0+ 7. 65 0+, 2+ 0+ 7. 27 8 Be 4. 44 2+ g. s. 12 C 0+ 47

AARHUS UNIVERSITY Dalitz plot 12 C* 1+ 8 Be E 1 1+ 2+ 3

AARHUS UNIVERSITY Dalitz plot 12 C* 1+ 8 Be E 1 1+ 2+ 3 Momentum conservation 12 C Energy conservation QI i 8 Be QII 2/3 QI 2 + 3 E 1 = m 23/(m 1+m 23) x QI = 2/3 x. QI R. H. Dalitz, Philos. Mag. 44, 1068 (1953). E 2