n d 3/2 bound in F but unbound in N, O

1. Measuring the pd5/2-nd3/2 interaction: the tensor force underneath the island of inversion S. Franchoo, F. Azaiez, D. Beaumel, I. ŞtefanS. Grévy, O. SorlinZ. DombrádiOrsay, Ganil, Debrecen

2. nd3/2 bound in F but unbound in N, O pd5/2>↔nd3/2< attraction before island of inversion island of inversionWildenthal PRC22 (1980) 2260 Warburton PRC41 (1990) 1147 pd5/2> Sakurai et al, PLB 448(1999)180 nd3/2< nf7/2>

3. M. Belleguic et al, NPA 682 (2001) M. Stanoiu et al, PRC (accepted) . . . . . . . . f7/2 f7/2 20 20 d3/2 d 3/2 d3/2 16 d3/2 s1/2 . . . . . . . . s1/2 s1/2 s1/2 14 d5/2 d5/2 p n p n 34Si20 30Ne20 need spectroscopic factors to determine strength functions!

4. nf7/2 DE(N=20)  20 nd3/2 ns1/2 #(pd5/2)  nd5/2 Tensor force VT = [s1x s2](2)Y(2)S = 1 Otsuka et al, PRL 95 (2005) 232502, PRL 97 (2006) 162501 need spectroscopic factors to determine strength functions!

5. 20 20 Otsuka et al, PRL 95 (2005) 232502, PRL 97 (2006) 162501 also in copper isotopes cf work done by Leuven: universal feature !? need "absolute" C2S to determine evolution of strength functions! MCSM sdfp: N=20 vanishingfp intruders in sd shellY. Utsuno et al., PRC 70 (2004) 044307 USD sd: N=20 maintained pn T=0  2p2h deformed intruders E. Caurier et al., NPA 693 (2001) 374

6. 25Ne from Reed et al, PRC 60 (1999) 024311; Catford et al, JPG 31 (2005) S1655; Terry et al, PLB 640 (2006) 86 3891 4.5 3760 7/2- 3624 7/2- 0.58 1.2 3479 1/2+ 3316 5/2+ 3067 5/2+ 2426 3/2+ 2350 0.5 0.06 1940 5/2+ 2028 5/2+ 2050(2090) 3/2+ 1.3 0.76 1698 5/2+ 1703 5/2+ 1273 3/2+ 2.4 985 3/2+ 1.4 1.5 0 1/2+ 0 1/2+ 0 1/2+ 25Ne15 27Mg15 29Si15

7. 29Mg from Baumann et al, PRC 36 (1987) 76527Ne from Belleguic et al, PRC 72 (2005) 054316; Obertelli et al, PLB 633 (2006) 33; Terry et al, PLB 640 (2006) 86; Z. Dombradi et al, PRL 96, 182501 (2006) 3227 5/2+ 6.00 3134 7/2- 3224 3/2+ 0.34 2789 5/2+ 2615 1/2+ 0.29 2317 3/2+ 2500 3/2+ 0.08 1638 5/2+ 1695 5/2+ Sn=1400 keV 30%; 1.07 1095 885(904) 1/2+ 0.77 752 1/2+ 60%; 0.32 772(765) 3/2- 55 1/2+ 2.91 20% 0 3/2+ 0 3/2+ 0 3/2+ 27Ne17 29Mg17 31Si17

8. (d,p) (d,p) 28Si 29Si 30Si 31Sistable stable26Mg 27Mg 28Mg 29Mgstable20.9 h24Ne 26Ne3.38 m197 ms22O 24O2.25 s61 ms Z=14 pd5/26Z=12 pd5/24Z=10 pd5/22Z=8 pd5/20 N=14 N=16nd5/26nd5/26s1/22d3/20f7/20 pd5/2 ↔ nd3/2f7/2

9. 30Si(d,p)31Si at Harwell & Oxford Watson & Slater, JPG 9 (1983) 1417 28Si(d,p)29Si Betz et al, ZPA 309 (1982) 163 no SF extracted from spectra d5/2 6.5%s1/2 61.5%d3/2 79.2%f7/2 75% Ed = 10 MeV

10. 30Si(d,p)31Si at Harwell & Oxford Watson & Slater, JPG 9 (1983) 1417

11. 26Mg(d,p)27Mg at Utrecht splitpole Meurders & van der Steld, NPA 230 (1974) 317 Ed = 12 MeV s1/2 100%d3/2 88%f7/2 56%

12. 30Mg(d,p)31Mg at 2.2 MeV/u 5 104 pps H Scheit et al, NPA 746 (2004) 96c & EPJA 25 s01 (2005) 397Th Kröll et al, upcoming experiment 28Mg(d,p)29Mg at Rex-Isolde determine f7/2 strength at SC: 2 106 /µC x 5% = 2 105 /2µC (t1/2 = 20.9 h)

13. SPEG SISSI 36S primary beam 77.5 MeV/nucleon, ~1 kW one-neutron knockout at Ganildata on 29,31Mg M. Chartier & N. Orr, priv. comm. Drift chambers Thin Plastic Carbon ~150 mg/cm2 Thin degrader 23O ~ 60 pps 25F ~ 200 pps 30Mg, 32Mg EXOGAM + NaI det  Brmax = 2.88 Tm Carbon production target ~500 mg/cm2 Ionization chamber & Plastic

14. Dℓ = 2 Kinematics 28Mg(d,p) Dℓ = 0 Dwuck 4 + Ch89 R. Varner Phys Rep 201 (1991) 57 Wales & Johnson NPA 274 (1976) 168 for C2S, need ≳5 MeV/u

15. 22O(d,p)23O low Sn⇒ high s angular momentum matching | ki - kf | = R/ℓ no "picket-fence" below 5 MeV/u  indirect mechanisms, Ex & Ipbut no C2S

16. Dwuck4 + Ch89 Wales & JohnsonNPA 274 (1976) 168R. VarnerPh Rep 201 (1991) 57 30Si(d,p)31Si at 5 MeV/u Watson & Slater, JPG 9 (1983) 1417

17. Speg Vamos

19. TRACE ancillary detector Orsay - Legnaro - Trento

20. 24Ne(d,p)25Ne at 10 MeV/u Catford et al, JPG 31 (2005) S1655 8 p mm mrad, no beam tracking! ℓ = 0 gs 1.70 MeV ℓ = 2 2.05 MeV ℓ = 2 Padgett et al, PRC 72, 064330 (2005)

21. 44,46Ar(d,p)45,47Ar at 10 MeV/uMust1 + Cats + Speg at Ganil 45Ar: 100% f7/2, 50% p1/2,3/247Ar: 100% p1/2,3/2, 60% f5/2 L Gaudefroy et al, PRL 97 (2006) ℓ = 1 gsSF = 0.59(6) 1180, 1790 keV 1.5 MeVSF = 0.84(14), 0.17(7) 2710, 3280, 3800 keV 3.5 MeVSF = 0.21(4), 0.42(4)

22. f5/2 -45% p1/2 -8% p3/2 f7/2 d3/2 s1/2 p n Tensor interaction (T.Otsuka) pd3/2 –nf7/2f5/2 20 29 18 29 p(s1/2d3/2) removed Density dependence (J. Piekarewicz) ps1/2 – np1/2p3/2 Tensor force nf7/2 - pd3/2 : reduction of N=28 by 330 keV Density dependence ps1/2 : 45% reduced SO for np Gaudefroy et al, PRL 97, 092501 (2006)

23. Measuring the strength of the pd5/2-nd3/2 interaction: the tensor force underneath the island of inversion would [s x s](2) tensor force provoke island of inversion?42Si: second island of inversion, S. Grévy et al.36Ca: mirror island of inversion, A. Bürger et al. measure nd3/2, nf7/2 strengths in 29Mg through transfer "safe" transfer when momentum matching "absolute" C2S from 5 MeV/u on Ip and Ex already below 5 MeV/u no beam tracking if emittance is good enough?

24. 26Mg(d,p)27Mg Meurders & van der Steld, NPA 230 (1974) 317

25. 30Si(d,p)31Si Watson & Slater, JPG 9 (1983) 1417

26. J. Terry et al, PLB 640 (2006) 86 1n knockout from 26,28Ne at MSU Z. Dombradi et al, PRL 96 (2006) 182501 1n knockout from 28Ne at Riken Ex(np3/2) (!) low ie N=20 vanishing 28Ne(p,p') shows need to fix effective charges

27. 36S fragmentation Belleguic et al, PRC 72 (2005) 054316 26Ne(d,p)27Ne at 9.7 MeV/u Obertelli et al, PLB 633 (2006) 33 Ex C2S 0 0.2(2) 765 0.6(2) 885 0.3(1) 24,26Ne(d,p)25,27Ne at Rex-Isolde: Good beam quality for post-accelerated beam Same intensity Rex - Spiral24Ne: 1 106 /µC x 5% = 1 105 /2µC Ganil: 2 105 /s26Ne: 4 104 /µC x 5% = 4 103 /2µC Ganil: 3 103 /s U Bergmann et al, NIMB 204 (2003) 22