1. Nuclear Structure Study through Nuclear Moments of Mirror Pairs
Osaka Univ. , Univ. Tsukuba, NIRS, Niigata Univ., Kochi Univ. of Tech., Saitama Univ., RIKEN, Fukui Univ. of Tech., MSU, ANL, LBL
Kensaku Matsuta

2. Recent situation of magnetic moment measurement
Single proton halo?
Sp=125keV
N=20

3. Recent situation of Q moment measurement

4. Spin Expectation Value
m(+Tz) +m(-Tz) = I + (mp+mn-0.5) <sz> I l
s = 1
9C-9Li
s = -1
s = 2S

5. = 0.7549(3) mN NMR Spectrum of 33Cl I lp Sp ln Sn
m(33Cl) = glplp + gSpSp + glnln + gSnSn
= (3) mN
m(33S) = glpln + gSpSn + glnlp + gSnSp
<t3sz> = 2(Sp-Sn)
Osaka
Van de Graaff
<sz> = 2(Sp+Sn)

6. Discussion on 33Cl 33S 33Cl <Sz> ( ≡ 1/2<sz>)
∵ m(33Cl)+m(33S) = I + (mp+mn-0.5) <sz>
<lz> = I - <sz>
33S
<t3lz>, <t3Sz>
33Cl
C/ft1/2 = B(F)+B(GT)
<lp>, <Sp>, <ln>, <Sn>

7. 23Al(Ip= ? , T1/2 = 0.47s) 22Mg (0+) × d5/2 s1/2 ? Neutron Proton
Proton halo?
Valence proton (Sp=125keV)
Neutron
Proton
23Al(Ip= ? , T1/2 = 0.47s)
s1/2 ?
Large Radius
IMP
22Mg (0+) × d5/2
1/2+
Jvvaskyla

8. 23Al(Ip= ? , T1/2 = 0.47s) 22Mg (0+) × d5/2 s1/2 ? g = m/I Neutron
Proton
Proton halo?
22Mg (0+) × d5/2
s1/2 ?
Large Radius
Valence proton (Sp=125keV)
Shell Model
(5/2+)
(1/2+)
g = m/I

9. Production of Polarized 23Al
RIPS
@RIKEN
on Oct and Dec. 2004
qeject = 1.0(6) °
Asymmetry f P Si
W(q)=1+APcosq
Experimental Setup

10.  = 3.89(22) mN Magnetic moment of 23Al 23Al 23Al rough
3/2+
1/2+
5/2+
23Al
rough
g(23Al) = 1.577(88)
Ip =5/2+
 = 3.89(22) mN
23Al
Cf: SM +3.94
fine

11. Precise magnetic moment of 23Ne
Mirror Partner
with 23Al
23Ne (Ip=5/2+, T1/2=37.24 s)
・Spin expectation value
for T=3/2 mirror pair
9C - 9Li
23Al - 23Ne n p
13O - 13B +
16O core
17Ne - 17N

12. Production of Polarization
Projectile Fragmentation
Pol +
Pol -
Nucleon pick up
Pol +

13. HIMAC in National Institute of Radiological Sciences
Cancer therapy with heavy ions

14. HIMAC (National Institute of Radiological Sciences)
26Mg or 22Ne
100 MeV/n
・Projectile Fragmentation
　　26Mg+Be® 23Ne
・One neutron pick up　　22Ne+Be® 23Ne Be
Asymmetry f
Polarized 23Ne
NaF (T ~15 K)

15. Polarization and Yield of 23Ne
deceleration
<P.F.>
P ~ - 0.7%
23Ne in NaF (15 K)
B0 = 1 T
<pickup>
P ~ 2.4%
Very large polarization

16. |m(23Ne)|corrected = (1.0817 ± 0.0009) mN
b-NMR Spectra
average
n0 = (3296.3±2.8) kHz
|m(23Ne)|exp = (9) mN
diamagnetic correction : s = 5.7(2)102 ppm
|m(23Ne)|corrected = ( ± ) mN
( |m(23Ne)|old = (10) mN )
Hilmer et al., Z. Naturforsch. 49a (1994) 27

17. Comparison with Shell Model
Experimental
Schmidt
Shell Model 
23Ne
(–)1.0817(9) *
-1.91
-1.13
23Al
(+)3.89(22) *
+4.79
+3.94
<z>
+0.81(58) +1
+0.82
*Present data

18. Spin Expectation Value
Experimental
Schmidt
Shell Model 
23Ne
(–)1.0817(9) *
-1.91
-1.13
23Al
(+)3.89(22) *
+4.79
+3.94
<z>
+0.81(58) +1
+0.82
*Present data

19. Proton and neutron components of angular momentum
Transition to IAS:
log ft = 3.4(2)
m(23Al)=3.89(22) mN
m(23Ne)= (9) mN
C/ft1/2 = B(F)+B(GT)
Shell-model I lp Sp ln Sn
-1.4(2) ≤ < lz(n) > ≤ 1.2(2)
-0.07(15) ≤ < sz(n) > ≤ 0.20(15)
0.9(2) ≤ < lz(p) > ≤ 3.5(2)
0.20(15) ≤ < sz(p) > ≤ 0.48(15)
< lz(n) > = 0.194
< sz(n) > = 0.025
< lz(p) > = 1.898
< sz(p) > = 0.388

20. Displacement from the line
g-factor correlation
g-factors of mirror pairs
9C- 9Li
13B- 13O
23Al- 23Ne
Displacement from the line
17Ne- 17N

21. Q moments of sd-shell mirror doublets
TRIUMF
ISOLDE
RIKEN
HIMAC
Osaka Van de Graaff

22. Summary
（１）m of mirror pairs ----> <S> or <s> (spin expectation value)
　　　　　　+ b decay ft value ----> <Sp>, <Sn> , <lp>, <ln>
　　　 (33Cl)= (3) mN
（２）g(23Al) -> Ip =5/2+
 (23Al) = 3.89(22) mN
（３）|m(23Ne)| = ( ± ) mN
（４）A=23（T=3/2） <Sp>, <Sn> , <lp>, <ln>
（５）Measurements of Q of Mirror nuclei are in progress in sd shell