28.08.2013 Views

Here - IGFAE-Instituto Gallego de Física de Altas Energías

Here - IGFAE-Instituto Gallego de Física de Altas Energías

Here - IGFAE-Instituto Gallego de Física de Altas Energías

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

3 <br />

<br />

<br />

<br />

3 <br />

γ <br />

<br />

<br />

3


3


3


3


3


3


γ <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

γ <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

22


12


γ <br />

<br />

<br />

<br />

γ


3 <br />

<br />

<br />

<br />

<br />

<br />

3 <br />

<br />

<br />

<br />

<br />

γ <br />

3 <br />

3 <br />

3 <br />

<br />

<br />

<br />

<br />

γ <br />

<br />

◦ <br />

<br />

3 <br />

3 <br />

γ γ <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

γ


γ <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

3 <br />

<br />

<br />

<br />

<br />

<br />

<br />

3 <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

3 <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

3


3 <br />

3 <br />

<br />

<br />

<br />

+ <br />

<br />

<br />

<br />

3 <br />

<br />

3 3 <br />

<br />

<br />

<br />

3 <br />

<br />

<br />

γ <br />

<br />

3 <br />

<br />

γ<br />

γ <br />

<br />

<br />

o <br />

<br />

<br />

3 <br />

<br />

3


3 <br />

<br />

<br />

3 <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

γ γ <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

≥ <br />

<br />

3 <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

3 <br />

3 <br />

<br />

3 <br />

<br />

<br />

3 3 <br />


RIB from<br />

Super-FRS<br />

R 3 B-Si-TRACKER<br />

CALIFA<br />

R3B Start version 2016<br />

Heavy<br />

fragments<br />

Protons<br />

R 3 B-GLAD<br />

3 <br />

NeuLAND<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

132 <br />

3 <br />

3 <br />

<br />

<br />

<br />

γ <br />

γ <br />

<br />

<br />

<br />

γ


γ <br />

γ 3 <br />

<br />

<br />

γ <br />

<br />

o o o <br />

≈ <br />

<br />

<br />

<br />

<br />

<br />

<br />

γ <br />

<br />

<br />

<br />

<br />

<br />

γ +


3 <br />

<br />

3 <br />

γ <br />

<br />

3 <br />

<br />

<br />

<br />

3 <br />

3 <br />

<br />

<br />

<br />

γ <br />

<br />

∆ <br />

γ γ <br />

<br />

<br />

<br />

γ <br />

γ <br />

<br />

γ γ <br />

γ <br />

<br />

<br />

<br />

<br />

<br />

<br />

γ


γ <br />

γ ∆sumsum γ <br />

γ ∆ γ <br />

<br />

<br />

∆pp<br />

γ <br />

√ (100MeV )<br />

√ E<br />

3 β <br />

3 <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

3 <br />

<br />

<br />

3 <br />

<br />

<br />

+ <br />

• <br />

• <br />

γ <br />

γ <br />

<br />

γ


γ <br />

<br />

<br />

<br />

<br />

<br />

γ <br />

γ <br />

<br />

<br />

<br />

γ <br />

<br />

γ <br />

<br />

E L γ =<br />

EP F<br />

γ<br />

γ<br />

1<br />

1 − β cos θ<br />

<br />

EP F<br />

γ γ θ β <br />

γ = 1/ 1 − β2 γ ∆(θ)<br />

<br />

<br />

∆ 2 P F<br />

(Eγ ) = γ 2 β 2 E L γ sin 2 θ ∆ 2 (θ) <br />

∆(EP F<br />

γ )<br />

EP F<br />

γ<br />

= β sin θ<br />

∆(θ) <br />

1 − β cos θ<br />

γ <br />

∆(EP F P F = k1 <br />

γ )/Eγ 1 − β cos θ<br />

∆(θ) = k1<br />

β sin θ<br />

<br />

<br />

<br />

<br />

∆(EP F<br />

γ )/EP F<br />

γ = k1 ∼<br />

5% <br />

<br />

γ


β <br />

1 <br />

<br />

1 <br />

<br />

<br />

<br />

<br />

• ◦ <br />

γ <br />

◦ <br />

γ <br />

<br />

• ◦ γ <br />

<br />

• o o γ <br />

<br />

◦ <br />

<br />

◦ γ


γ <br />

<br />

<br />

◦ γ<br />

<br />

<br />

γ <br />

◦ <br />

<br />

<br />

<br />

<br />

<br />

3 <br />

<br />

<br />

γ <br />

<br />

γ


γ <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

• <br />

<br />

• <br />

<br />

• γ


o <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

γ


≈ 3<br />

≈ <br />

≈ <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

θ ◦ p


◦<br />

<br />

◦ ◦<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

◦ <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

3 <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

3


3 <br />

<br />

3 <br />

<br />

γ <br />

<br />

<br />

<br />

<br />

<br />

<br />

2 <br />

<br />

<br />

<br />

γ <br />

<br />

% λ <br />

<br />

∆E/E ≈ % γ <br />

<br />

3 3 <br />

θ < 43 ◦ <br />

3 3 <br />

3 <br />

<br />

∆E/E


3 <br />

+ <br />

<br />

<br />

<br />

3 <br />

<br />

<br />

<br />

<br />

γ <br />

<br />

γ 3 <br />

<br />

137 + ∆<br />

<br />

<br />

<br />

γ γ <br />

<br />

<br />

<br />

<br />

<br />

<br />

γ


+ <br />

<br />

<br />

<br />

<br />

<br />

∆LO <br />

<br />

<br />

<br />

<br />

<br />

L(E) = a · E b <br />

b ∆LO <br />

L(E) E <br />

∆LO <br />

L(E) + + <br />

<br />

∆L(E) = 0.36 · ∆LO. <br />

<br />

% % <br />

% % <br />

<br />

γ


∆LO <br />

<br />

<br />

<br />

± <br />

<br />

∆LO ≤ <br />

23<br />

µ ∆LO


Light Output<br />

900<br />

850<br />

800<br />

750<br />

700<br />

650<br />

600<br />

550<br />

polished, all facets, LO=13.3%<br />

<strong>de</strong>polished, 1 facet, LO=3.0%<br />

<strong>de</strong>polished, 4 facets, LO=0.3%<br />

10x30<br />

<strong>de</strong>polished, 2 facets, LO=1.8%<br />

l = 100 mm<br />

L = 130 mm<br />

15x42<br />

Distance along crystal, mm<br />

PMT<br />

500<br />

0 2 4 6 8 10 12<br />

<br />

<br />

<br />

+ <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

◦ <br />

<br />

◦ ◦ <br />

<br />

<br />

+ +


∼ <br />

<br />

<br />

∼ <br />

<br />

<br />

+ <br />

<br />

◦ <br />

± <br />

<br />

<br />

<br />

3 <br />

γ ≈ <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

γ<br />

<br />

γ <br />

µ


2 × ×<br />

C <br />

<br />

Id o <br />

<br />

a b<br />

a b<br />

<br />

a <br />

b 3 <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

+ + <br />

<br />

<br />

<br />

2<br />

<br />

<br />

<br />

<br />

<br />

M <br />

0 M <br />

<br />

M T<br />

0


Vnom <br />

∼ <br />

∼ d <br />

d <br />

<br />

<br />

<br />

+ <br />

Vnom <br />

−2.8 ◦ ◦ <br />

−2.5 ◦ + −4.82±0.15 ◦ <br />

Vnom ◦ <br />

<br />

Idb aT 2 exp(−Et/kbT ), <br />

kb Et T<br />

<br />

√ Idbτ <br />

<br />

<br />

<br />


Noise, keV / Current, nA<br />

10 2<br />

10<br />

1<br />

CsI(Tl)/APD, S8664-1010 V = V_nom<br />

Relative pulse hight<br />

Noise<br />

= 4.82 / 1C<br />

Temperatute, grad.<br />

a)<br />

Current<br />

0 5 10 15 20 25<br />

<br />

Vnom M T 0


◦ <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

γ nom <br />

nom <br />

<br />

<br />

<br />

<br />

<br />

±


55 <br />

<br />

<br />

+ <br />

<br />

nom <br />

<br />

+ <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

× 2 <br />

<br />

<br />

<br />

<br />

<br />

<br />

× × × 2 <br />

µ × 2 <br />

≈ × 2 <br />

× 2 ≈ <br />

5


2 <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

d


σ <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

γ <br />

<br />

γ 137 <br />

60 <br />

<br />

<br />

<br />

γ <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

Ids <br />

Idb Ids <br />

+ <br />

γ <br />

<br />

2


+ Id <br />

<br />

Id = α · V · Φ, <br />

V α (8 − 10) · 10 −8 Φ ≈ <br />

µ <br />

<br />

·10 11 2 Φ <br />

5 · 10 10 <br />

<br />

<br />

<br />

µ<br />

µ <br />

+ <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

9 <br />

10 2


γ <br />

<br />

<br />

γ <br />

<br />

<br />

• <br />

× 2 <br />

× 2 <br />

× 2 <br />

<br />

<br />

<br />

× 2 × 2 <br />

<br />

γ <br />

<br />

<br />

Id T 0 <br />

γ 207 137 60 <br />

<br />

<br />

<br />

• <br />

<br />

× 2 × 2 <br />

<br />

<br />

<br />

<br />

0 <br />


γ <br />

<br />

γ γ <br />

<br />

Id T <br />

0 <br />

<br />

∆ γ <br />

<br />

γ <br />

<br />

<br />

γ 19 αγ 16 <br />

γ <br />

<br />

◦ <br />

<br />

<br />

• γ <br />

16 <br />

<br />

<br />

× 2 × 2


γ<br />

<br />

× 2 <br />

× 2 <br />

γ <br />

γ <br />

<br />

• <br />

γ <br />

<br />

γ <br />

<br />

<br />

<br />


γ <br />

γ + + <br />

12 <br />

22 <br />

γ <br />

<br />

<br />

<br />

<br />

<br />

<br />

∆ γ <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

∆θ ≈ 2 ◦ <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

+ ×× 3 <br />

× 2


AP D − 1010/GF AP D − 55/GF<br />

×× 3 <br />

<br />

×× 3 <br />

× 2 <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

d = 70 mg<br />

cm 2 <br />

45 ◦


Light Nonuniformity, %<br />

Energy Resolution, %<br />

5<br />

4<br />

3<br />

2<br />

1<br />

0<br />

5<br />

10x30<br />

by APD, 5x5<br />

= 40<br />

CsI(Tl)<br />

l = 130 mm<br />

Source<br />

by 0.569 MeV<br />

15x42<br />

by 1.063 MeV<br />

by R7400U-20 (8/560)<br />

by APD, 10x10<br />

= 50<br />

Energy, MeV<br />

10x10<br />

A)<br />

+/- 0.28%<br />

-1<br />

0 2 4 6 8 10 12<br />

Distance along crystal, cm<br />

10<br />

1<br />

10 -1<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

≈ <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

1<br />

B)<br />

5


+ <br />

<br />

<br />

<br />

+


3 <br />

<br />

<br />

<br />

γ <br />

<br />

γ <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

3 <br />

<br />

<br />

<br />

<br />

<br />

<br />

• <br />

• <br />

• <br />

<br />


• <br />

• <br />

• <br />

• <br />

• <br />

<br />

• <br />

• <br />

• <br />

• <br />

• <br />

• <br />

<br />

3 <br />

<br />

<br />

γ


• <br />

<br />

• <br />

<br />

• <br />

• <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

γ <br />

<br />

<br />

3 <br />

<br />

γ <br />

γ <br />

<br />

<br />

<br />

<br />

<br />

γ


γ<br />

<br />

β <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

7.0 14.3<br />

8.0 28.5<br />

9.0 42.9<br />

9.5 57.1<br />

87 9.5<br />

1.8 0.6<br />

3.8 0.6<br />

4.8 1.3<br />

5.8 1.3<br />

6.3 2.5<br />

1.5 0.3<br />

3.5 0.3<br />

4.5 0.3<br />

5.5 1.0<br />

6.0 1.3<br />

4 6.3<br />

2 6.0<br />

GDRcasca<strong>de</strong><br />

2.0 1.4<br />

3.0 1.0<br />

4.0 1.5<br />

4.5 2.0<br />

3 4.5<br />

1.0 17.2<br />

2.0 0.6<br />

2.5 0.5<br />

1 2.5<br />

1 1.5<br />

2 0.5<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

γ <br />

γ <br />

γ β <br />

<br />

1.0 49.5<br />

1.5 0.3<br />

0.5 100.0<br />

0.0<br />

10<br />

8<br />

6<br />

4<br />

2<br />

0<br />

EMeV


γ <br />

<br />

γ <br />

Counts<br />

Counts<br />

10<br />

5<br />

4<br />

10<br />

3<br />

10<br />

2<br />

10<br />

10<br />

1<br />

4<br />

10<br />

3<br />

10<br />

2 10<br />

10<br />

0 5 10 15 20 25 30 35<br />

Energy (MeV)<br />

PF<br />

1<br />

<br />

0 5 10 15 20 25 30 35 40 45 50<br />

Energy (MeV)<br />

Lab<br />

<br />

γ <br />

γ <br />

<br />

γ <br />

γ


12 12 11 <br />

γ <br />

11 <br />

<br />

<br />

<br />

<br />

γ <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

γ <br />

<br />

<br />

∆ϑ <br />

∆θ ∆φ <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

3 β = 0.82 <br />

γ<br />

Eγ <br />

Eγ ± 2σ σ <br />

β = 0 β = 0.82 <br />

γ <br />

<br />

<br />

γ


Efficiency [percent]<br />

90<br />

80<br />

70<br />

60<br />

50<br />

40<br />

30<br />

20<br />

10<br />

β = 0.00<br />

0.2 MeV<br />

1 MeV<br />

10 MeV<br />

0<br />

0 5 10 15 20 25 30<br />

Δ θ [<strong>de</strong>g]<br />

Efficiency [percent]<br />

90<br />

80<br />

70<br />

60<br />

50<br />

40<br />

30<br />

20<br />

10<br />

β = 0.82<br />

0.2 MeV<br />

1 MeV<br />

10 MeV<br />

0<br />

0 5 10 15 20 25 30<br />

Δ θ [<strong>de</strong>g]<br />

<br />

<br />

β = 0.00<br />

β = 0.82 <br />

<br />

<br />

β = 0.82 <br />

<br />

<br />

<br />

γ <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

Eγ γ <br />

<br />

<br />

γ <br />

<br />

γ<br />

<br />

γ


Efficiency [percent]<br />

90<br />

80<br />

70<br />

60<br />

50<br />

40<br />

30<br />

20<br />

10<br />

0.2 MeV<br />

1 MeV<br />

10 MeV<br />

0<br />

0 5 10 15 20 25 30<br />

Δθ<br />

[<strong>de</strong>g]<br />

<br />

γ <br />

γ <br />

<br />

γ <br />

γ <br />

γ <br />

<br />

<br />

<br />

<br />

<br />

<br />

γ <br />

<br />

γ <br />

<br />

<br />

<br />

<br />

γ <br />

γ


Efficiency [%]<br />

90<br />

80<br />

70<br />

60<br />

50<br />

40<br />

30<br />

20<br />

10<br />

Eγ<br />

= 1 MeV<br />

β = 0.00<br />

mult<br />

0<br />

0 5 10 15 20 25 30<br />

Δ ϑ [<strong>de</strong>g]<br />

<br />

γ <br />

<br />

γ <br />

γ <br />

<br />

<br />

<br />

γ <br />

<br />

• <br />

<br />

• 2 <br />

<br />

• γ ± <br />

β <br />

γ <br />

<br />

◦ <br />

• <br />

<br />

µ<br />

µ <br />

<br />

1<br />

2<br />

3<br />

5<br />

7


• <br />

<br />

<br />

<br />

γ <br />

γ <br />

<br />

<br />

• <br />

<br />

◦ <br />

<br />

<br />

• <br />

<br />

<br />

• <br />

<br />

<br />

<br />

• <br />

• <br />

<br />

<br />

• γ <br />

<br />

<br />

<br />

γ <br />

<br />

<br />

<br />

<br />

γ <br />

<br />

γ <br />

γ <br />

<br />

<br />

γ


γ <br />

<br />

<br />

γ <br />

<br />

γ <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

γ


γ <br />

<br />

<br />

<br />

<br />

<br />

<br />

γ <br />

<br />

<br />

<br />

<br />

<br />

3 <br />

<br />

γ <br />

<br />

<br />

γ <br />

γ <br />

<br />

γ <br />

<br />

γ <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

γ


γ <br />

<br />

<br />

<br />

<br />

<br />

γ


γ <br />

<br />

<br />

γ <br />

<br />

γ <br />

γ <br />

<br />

γ γ <br />

<br />

<br />

<br />

<br />

γ


γ <br />

<br />

<br />

γ <br />

<br />

<br />

<br />

−2σ, 2σ <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

γ <br />

γ <br />

<br />

<br />

∼ 5 <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

γ <br />

<br />

<br />

<br />

3 <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

γ


γ <br />

<br />

<br />

<br />

<br />

<br />

γ <br />

<br />

<br />

<br />

<br />

<br />

<br />

γ


γ<br />

<br />

<br />

<br />

<br />

γ <br />

β = 0.82 <br />

γ <br />

γ<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

γ <br />

<br />

<br />

<br />

<br />

<br />

γ


γ <br />

<br />

<br />

<br />

γ


e + − e − γ <br />

<br />

<br />

<br />

<br />

γ <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

γ <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

γ <br />

<br />

<br />

γ <br />

<br />

γ <br />

γ <br />

<br />

γ <br />

<br />

<br />

<br />

γ <br />

γ <br />

<br />

<br />

<br />

<br />

γ γ <br />

γ


γ <br />

<br />

<br />

γ <br />

<br />

<br />

<br />

<br />

γ <br />

<br />

<br />

<br />

<br />

<br />

γ


γ <br />

γ <br />

<br />

<br />

γ <br />

<br />

<br />

γ <br />

<br />

γ <br />

γ<br />

<br />

<br />

γ


γ <br />

<br />

γ <br />

<br />

<br />

<br />

γ <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

γ <br />

γ<br />

<br />

n × Eγ


γ <br />

<br />

γ <br />

<br />

γ <br />

γ <br />

<br />

<br />

<br />

<br />

<br />

<br />

12 11 <br />

∼ ◦ <br />

∼ ∼ <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

◦ <br />

γ


Counts<br />

Total Absorption Efficiency(%)<br />

140<br />

120<br />

100<br />

80<br />

60<br />

40<br />

20<br />

0<br />

0 50 100 150 200 250 300 350<br />

Energy (MeV)<br />

100<br />

90<br />

80<br />

70<br />

60<br />

50<br />

40<br />

30<br />

20<br />

10<br />

0<br />

50 100 150 200 250 300<br />

Energy(MeV)


Counts<br />

4<br />

10<br />

3<br />

10<br />

2<br />

10<br />

10<br />

1<br />

Total<br />

M = 1<br />

M > 1<br />

166 168 170 172 174 176 178 180<br />

Energy(MeV)<br />

<br />

<br />

<br />

<br />

<br />

<br />

542 <br />

<br />

∼ <br />

<br />

<br />

<br />

+


% of Events<br />

10 2<br />

10<br />

1<br />

Recoverable<br />

Unrecoverable<br />

50 100 150 200 250 300<br />

Energy, MeV<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />


22 <br />

<br />

22 <br />

23 <br />

γ γ <br />

<br />

23 <br />

+ <br />

22 2 + <br />

24 + <br />

Z <br />

N N <br />

23 + +


γ 22 <br />

23 <br />

γ <br />

<br />

<br />

<br />

+ <br />

<br />

γ <br />

γ 22 γ<br />

<br />

<br />

<br />

22 <br />

<br />

<br />

22 23 <br />

I π = 1/2 +


γ<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

γ <br />

<br />

<br />

γ <br />

γ <br />

∼ <br />

∼<br />

<br />

<br />

+ γ <br />

γ <br />

<br />

+ <br />

<br />

o <br />

<br />

<br />

γ ∼


γ <br />

β ∼ <br />

<br />

<br />

<br />

<br />

<br />

β = 0.82 <br />

<br />

<br />

<br />

<br />

<br />

<br />

γ <br />

<br />

<br />

γ


γ


γ <br />

γ <br />

<br />

<br />

<br />

<br />

π <br />

<br />

<br />

5 · 10 7 β = 0.83 <br />

<br />

M = 1 M = 2 <br />

γ <br />

<br />

<br />

<br />

<br />

γ


13.2 16.4<br />

14.8 16.7<br />

15.2 33.0<br />

16.1 100<br />

78 16.1<br />

6.9 4.0<br />

8.5 4.0<br />

8.9 12.8<br />

9.8 20.6<br />

19.5 9.8<br />

1.3 0.1<br />

4.1 0.1<br />

5.7 0.2<br />

6.1 0.2<br />

7.0 0.5<br />

0.5 7.0<br />

0.5 6.0<br />

0.4 5.7<br />

0.4 2.9<br />

0.2 1.3<br />

0.4 0.9<br />

PDRcasca<strong>de</strong><br />

0.3 0.1<br />

3.1 0.1<br />

4.7 0.1<br />

5.1 0.3<br />

6.0 0.5<br />

2.7 0.3<br />

4.2 0.2<br />

5.2 0.3<br />

5.7 0.3<br />

1.6 21.1<br />

2.0 0.3<br />

2.9 0.3<br />

0.4 42.6<br />

1.3 0.14<br />

0.9 90.3<br />

<br />

<br />

132 + <br />

<br />

<br />

γ <br />

<br />

<br />

<br />

<br />

γ γ<br />

<br />

<br />

γ <br />

<br />

γ <br />

<br />

132 <br />

<br />

+ <br />

<br />

<br />

<br />

<br />

<br />

0.0<br />

20<br />

18<br />

16<br />

14<br />

12<br />

10<br />

8<br />

6<br />

4<br />

2<br />

0<br />

EMeV


Intensity [counts]<br />

Intensity [counts]<br />

400 Energy, singles<br />

350<br />

300<br />

250<br />

200<br />

150<br />

100<br />

50<br />

reconstructed<br />

simulation's input<br />

0<br />

0 5 10 15 20 25 30<br />

Sum energy [MeV]<br />

400 Energy, sum<br />

350<br />

300<br />

250<br />

200<br />

150<br />

100<br />

50<br />

reconstructed<br />

simulation's input<br />

0<br />

0 5 10 15 20 25 30<br />

Sum energy [MeV]<br />

γ <br />

<br />

<br />

<br />

γ <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

γ <br />

<br />

γ


7.0 14.3<br />

8.0 28.5<br />

9.0 42.9<br />

9.5 57.1<br />

87 9.5<br />

1.8 0.6<br />

3.8 0.6<br />

4.8 1.3<br />

5.8 1.3<br />

6.3 2.5<br />

1.5 0.3<br />

3.5 0.3<br />

4.5 0.3<br />

5.5 1.0<br />

6.0 1.3<br />

4 6.3<br />

2 6.0<br />

GDR casca<strong>de</strong><br />

2.0 1.4<br />

3.0 1.0<br />

4.0 1.5<br />

4.5 2.0<br />

3 4.5<br />

1.0 17.2<br />

2.0 0.6<br />

2.5 0.5<br />

1 2.5<br />

1 1.5<br />

2 0.5<br />

<br />

<br />

<br />

γ <br />

<br />

γ <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

γ <br />

γ <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

γ <br />

β = 0.7 <br />

<br />

1.0 49.5<br />

1.5 0.3<br />

0.5 100.0<br />

0.0<br />

10<br />

8<br />

6<br />

4<br />

2<br />

0<br />

E MeV


Intensity (counts)<br />

Intensity (counts)<br />

Entries<br />

6<br />

10<br />

5<br />

10<br />

4<br />

10<br />

3<br />

10<br />

2<br />

10<br />

10<br />

4<br />

10<br />

3<br />

10<br />

2<br />

10<br />

Energy, singles<br />

reconstructed<br />

simulation's input<br />

1<br />

0 5 10 15 20 25 30<br />

Energy (MeV)<br />

10<br />

5<br />

10<br />

4<br />

10<br />

3<br />

10<br />

2<br />

10<br />

Energy, sum<br />

simulation's input<br />

reconstructed<br />

1<br />

0 5 10 15 20 25 30<br />

Sum Energy (MeV)<br />

Multiplicity<br />

simulation's input<br />

reconstructed<br />

0 2 4 6 8 10 12 14<br />

Multiplicity<br />

γ <br />

<br />

<br />

<br />

<br />

γ <br />

<br />

<br />

<br />

γ γ


12 11 <br />

11 <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

γ <br />

<br />

γ <br />

γ <br />

Esum <br />

<br />

<br />

γ <br />

<br />

<br />

γ <br />

<br />

12 <br />

<br />

<br />

<br />

12


12 11 11 <br />

<br />

<br />

<br />

◦ <br />

γ <br />

23 <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

12 <br />

<br />

<br />

<br />

11 <br />

γ <br />

11 <br />

≡ <br />

<br />

γ <br />

11


∼ <br />

<br />

<br />

<br />

<br />

γ <br />

<br />

γ <br />

<br />

γ


L(t)<br />

<br />

L(t) = Nf<br />

τf<br />

exp<br />

<br />

− t<br />

τf<br />

<br />

+ Ns<br />

<br />

exp −<br />

τs<br />

t<br />

<br />

−<br />

τs<br />

Nr<br />

<br />

exp −<br />

τr<br />

t<br />

<br />

τr<br />

<br />

τf τs <br />

τf ≈ τs ≈ µs τr <br />

τr ≈ <br />

τr ≪ τf , τs<br />

dL<br />

L(E)<br />

dE<br />

<br />

<br />

Nf Ns <br />

Nf Ns <br />

<br />

<br />

<br />

tdrift ≈ 30ns ≪ τf , τf <br />

I(t) ∝ L(t)


U(t) =<br />

t<br />

0<br />

Nf<br />

τf<br />

<br />

exp − t′<br />

<br />

+<br />

τf<br />

Ns<br />

τs<br />

<br />

exp − t′<br />

<br />

exp −<br />

τs<br />

t − t′<br />

τRC<br />

<br />

dt ′ <br />

τf τs <br />

τRC <br />

<br />

<br />

<br />

γ <br />

γ <br />

<br />

<br />

<br />

<br />

γ


γ <br />

γ <br />

<br />

<br />

γ <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

+ + + <br />

G <br />

1 dG %<br />

= −2.95<br />

G dT ◦C


◦ C <br />

◦ 137 Cs <br />

<br />

6 ◦ C 24 ◦ C <br />

<br />

<br />

<br />

1 dG<br />

G dU<br />

= 2.5% . <br />

V<br />

<br />

<br />

<br />

<br />

dU<br />

dT<br />

= 1.18 V<br />

◦ C<br />

<br />

◦ <br />

◦ <br />

<br />

<br />

<br />

<br />

<br />

∆t <br />

<br />

<br />

<br />

∆E<br />

E<br />

= ∆t<br />

τ<br />

<br />

= const


∆t = τ [ln E − ln T hr] <br />

T hr τ <br />

∆t


∆t = τ [ln E − ln T hr] <br />

T hr τ <br />

∆t


fNyquist = 1<br />

2 fADC<br />

<br />

fADC


ADC<br />

Fast<br />

Shaper<br />

Slow<br />

Shaper<br />

CFD<br />

Baseline<br />

Reconstruction<br />

MWD<br />

MBS<br />

Trigger Bus<br />

RPID<br />

Internal<br />

Trigger Bus<br />

Timestamp<br />

Peaksensing<br />

Event Buffer


n×fADC <br />

n


µs <br />

<br />

<br />

<br />

<br />

<br />

Σ BL<br />

n =<br />

<br />

Σ BL<br />

n−1 + Dn − BLn−1 G,<br />

Σ BL<br />

n−1<br />

BLn = 1<br />

L ΣBL n<br />

Qn = Dn − BLn<br />

G<br />

<br />

<br />

<br />

Σ BL<br />

n n Dn <br />

BLn L <br />

Qn G <br />

G <br />

<br />

L <br />

L = 2 n , n ∈ N


Qn = Dn − Dn−L + 1<br />

n−1 <br />

Dk<br />

τRC<br />

k=n−L<br />

<br />

Dn L <br />

τRC Qn <br />

Dn−L Dn<br />

Q(t) = Nf<br />

<br />

(1 − exp − t<br />

<br />

+ Ns 1 − exp −<br />

τf<br />

t<br />

<br />

τs<br />

<br />

<br />

<br />

L µs µs <br />

<br />

τRC <br />

τRC <br />

τRC<br />

Qn ≡ Qn · τRC = τRC · (Dn − Dn−L) +<br />

n−1 <br />

k=n−L<br />

Dk<br />

<br />

Qn τRC


µs <br />

µs <br />

<br />

<br />

<br />

<br />

<br />

<br />

dL<br />

dE<br />

<br />

<br />

<br />

<br />

Nf Ns <br />

<br />

<br />

<br />

<br />

Ii =<br />

i<br />

k=i−L<br />

Qk −<br />

i−G <br />

k=i−L−G<br />

Qk<br />

<br />

Qk Ii L <br />

G <br />

<br />

<br />

I(t) = Nf<br />

τf<br />

exp<br />

<br />

− t<br />

τf<br />

<br />

+ Ns<br />

exp<br />

τs<br />

<br />

− t<br />

τs<br />

<br />

<br />

<br />

t<br />

exp <br />

τs<br />

<br />

<br />

t<br />

J(t) = I(t) · exp<br />

= Nf<br />

τf<br />

exp<br />

τs<br />

<br />

<br />

− t<br />

τsf<br />

τsf = τsτf<br />

τs − τf<br />

<br />

+ Ns<br />

τs<br />

<br />

e t<br />

τ sf ≡ exp t


100<br />

Amplitu<strong>de</strong> / a.u.<br />

S1<br />

t1<br />

S2<br />

t2<br />

0<br />

0 Time / µs<br />

5<br />

<br />

S3<br />

t3<br />

exp t = Mt · 2 −Et <br />

Mt ∈ N0, Et ∈ Z<br />

Mt Et <br />

<br />

τsf <br />

L2 < L1 F (t) <br />

⎧<br />

⎪⎨<br />

F (t) =<br />

⎪⎩<br />

Ns<br />

τs<br />

t<br />

τsf<br />

<br />

+ 1<br />

+ Nf<br />

τf<br />

, 0 ≤ t < L2<br />

Ns L2<br />

, L2 ≤ t < L1<br />

τs τsf<br />

0 , <br />

<br />

Ns <br />

<br />

Nf<br />

S1 S2 S3 t1 − T<br />

2 <br />

t1 + T<br />

2 t2 − T<br />

2 t2 + T<br />

2 t3 − T<br />

2 t3 + T<br />

2 T <br />

S1 S2 <br />

S3<br />

Nf Ns <br />

<br />

<br />

<br />

<br />

<br />

γ γ


3 <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

3 <br />

<br />

<br />

<br />

<br />

3


γ <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

⊥ ⊥<br />

<br />

<br />

<br />

<br />

4


TRIGGERS BARREL GROUP CLUSTER CRYSTAL HARDWARE<br />

⊥ ⊥<br />

<br />

⊥ ⊥<br />

<br />

≥ 1<br />

⊥ ⊥<br />

<br />

≥ 1<br />

≥ 1<br />

⊥ ⊥<br />

≥ 1<br />

≥ 1<br />

≥ 1<br />

APD SIGNAL<br />

1 2 3 4 5 6 7<br />

<br />

<br />

<br />

⊥ ⊥<br />

E <br />

<br />

<br />

≥ 1 <br />

<br />

<br />

3 <br />

<br />

5<br />

<br />

<br />

<br />

2 6 <br />

<br />

<br />

<br />

<br />

<br />

<br />

7 1 4 <br />

<br />

<br />

<br />

⊥ ⊥<br />

E<br />

<br />

≥ 1<br />

≥ 1<br />

⊥ ⊥<br />

<br />

≥ 1<br />

⊥ ⊥


Trigger<br />

Module<br />

E [0:15]<br />

M [0:15]<br />

IP<br />

CLK<br />

CLK<br />

BIT0<br />

E<br />

M<br />

Trigger<br />

Module<br />

E [0:15]<br />

M [0:15]<br />

IP<br />

Trigger<br />

Module<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

...<br />

E [0:15]<br />

M [0:15]<br />

IP


µ


5<br />

<br />

<br />

<br />

<br />

3<br />

5<br />

−4<br />

<br />

4<br />

−15<br />

−6


µ


µ


µ


Local Network<br />

Console GUI<br />

Controller<br />

U1 U2 U3<br />

DCL interpreter<br />

EPICS<br />

alternatives<br />

Monitoring


Local Network<br />

Console GUI<br />

Controller<br />

U1 U2 U3<br />

DCL interpreter<br />

EPICS<br />

alternatives<br />

Monitoring


Local Network<br />

Console GUI<br />

Controller<br />

U1 U2 U3<br />

DCL interpreter<br />

EPICS<br />

alternatives<br />

Monitoring


Local Network<br />

Console GUI<br />

Controller<br />

U1 U2 U3<br />

DCL interpreter<br />

EPICS<br />

alternatives<br />

Monitoring



2<br />

<br />

◦<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

2


◦<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

3 <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

± µ


µ <br />

µ<br />

<br />

<br />

<br />

<br />

<br />

µ


µ <br />

µ<br />

<br />

<br />

<br />

<br />

<br />

µ


µ


µ


µ


µ


µ


µ


µ


± ◦ <br />

◦ <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

◦ <br />

<br />


◦ ◦ <br />

<br />

<br />

<br />

<br />

<br />

◦ <br />

<br />

<br />

<br />

◦ ◦


2


◦ ◦ ◦


◦ ◦ ◦






8<br />

<br />

7 <br />

<br />

× 6 <br />

<br />

<br />

6 <br />

5 <br />

× 7 2<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

µ <br />

<br />

<br />

<br />

<br />

<br />

<br />

× 2 <br />

2


× 2


3 <br />

<br />

<br />

+ <br />

<br />

<br />

<br />

2 µ <br />

262 <br />

3 <br />

<br />

LO <br />

∆LO = (LOmax −<br />

LOmin)/LOaverage


γ 22 137 60 <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

M T ◦ <br />

Vnom <br />

<br />

d <br />

<br />

<br />

<br />

d ± <br />

nom <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

M = 50 <br />

T = 18 ◦ δM/δV δM/δT


55


γ <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

3 <br />

<br />

<br />

<br />

γ <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

3 <br />

<br />

γ


γ <br />

γ <br />

<br />

<br />

γ <br />

<br />

γ <br />

γ <br />

γ <br />

<br />

γ <br />

<br />

<br />

<br />

<br />

<br />

<br />

+ <br />

∆E ≤ 50 <br />

<br />

<br />

<br />

3 × 5 <br />

γ <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

3 <br />

3 <br />

<br />

12 γ T = 1<br />

γ


γ <br />

<br />

<br />

<br />

<br />

<br />

+ + <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

208 <br />

3 <br />

<br />

3 + <br />

<br />

<br />

10 <br />

2


γ <br />

γ <br />

12 γ 12 γ <br />

+ <br />

γ <br />

<br />

<br />

12 γ 12


γ <br />

γ <br />

<br />

<br />

<br />

γ <br />

<br />

<br />

<br />

◦ + <br />

<br />

2 <br />

<br />

<br />

<br />

<br />

<br />

<br />

2 <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

γ <br />

<br />

<br />

<br />

<br />

<br />

γ <br />

<br />

γ


γ<br />

<br />

<br />

<br />

40 <br />

<br />

<br />

<br />

<br />

19 → 16 α <br />

16 γ <br />

γ <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

γ <br />

<br />

γ <br />

<br />

β 22,24 207 γ <br />

<br />

<br />

<br />

23 (γ, n) 22 22 <br />

γ <br />

<br />

<br />

<br />

γ <br />

<br />

<br />

<br />

<br />

<br />

V (t) = V0<br />

<br />

nse −t/τs + nf e −t/τf − (ns + nf )e −t/τr


τr τs τf <br />

ns nf <br />

V0<br />

<br />

V0 V0 <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

LUT<br />

ns nf V0<br />

FPGA<br />

9<br />

COMB DAC Low−Pass 1:4<br />

0<br />

<br />

<br />

ns nf<br />

<br />

V0 <br />

<br />

<br />

<br />

<br />

ns nf <br />

V0 <br />

τr


V0 <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

ns = nf = 1


• <br />

<br />

• <br />

• <br />

• <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

· <br />

4 · 10 9 µ <br />

<br />

<br />

<br />

<br />

λPeak = 525


• <br />

• <br />

<br />

• <br />

• <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

γ α


3 <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

◦<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

◦ <br />

<br />

<br />

<br />

<br />

<br />

2


3 <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

◦<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

◦ <br />

<br />

<br />

<br />

<br />

<br />

2


γ


3


3


CRYSTALS AND PHOTOSENSORS<br />

Contact Person: Thorsten Kröll TUD<br />

Participant Institutions<br />

COORDINATION<br />

INSTALLATION<br />

Ulund / USC / TUD / GSI / JINR / NRC / IEM / Chalmers<br />

Dolores Cortina-Gil USC<br />

Bo Jakobsson (Deputy) ULund<br />

Contact Person : H. Simon GSI<br />

ELECTRONICS<br />

SIMULATIONS<br />

Contact Person : Hector Alvarez-Pol USC<br />

Participant Institutions<br />

Contact Person : Roman Gernhäuser TUM<br />

Participant Institutions<br />

TUM / IEM / USC/ Chalmers<br />

<br />

USC / IEM / TUD / CFNUL / EMMI /ULund<br />

MECHANICS<br />

Contact Person : JA Vilan UVigo<br />

Participant Institutions<br />

Uvigo / USC / IEM


• γ <br />

<br />

19 γ 16 7 γ 8 <br />

γ <br />

16 8 <br />

• γ <br />

<br />

+ <br />

<br />

<br />

γ <br />

∆E ≤ 50 <br />

<br />

<br />

• <br />

<br />

<br />

<br />

• <br />

<br />

<br />

<br />

<br />

<br />

<br />

• γ <br />

γ <br />

∼ <br />

12 <br />

γ <br />

γ + +<br />

12


µ <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

+ <br />

<br />

<br />

<br />

2 <br />

<br />

<br />

R7400U − 03 R7400U − 20 R4124


Energy Resolution, %<br />

10<br />

20x20<br />

1<br />

10 -1<br />

l=40<br />

10x10<br />

PMT<br />

R7400U-03 (8/420)<br />

Energy, MeV<br />

R4124 (10/420)<br />

R7400U-20 (8/560)<br />

<br />

<br />

<br />

2 <br />

<br />

<br />

d o <br />

<br />

<br />

+ <br />

> <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

1<br />

5


10<br />

9<br />

8<br />

7<br />

6<br />

5<br />

4<br />

3<br />

200<br />

100<br />

90<br />

80<br />

70<br />

60<br />

PD noise, =2.35*, keV A)<br />

20 nA<br />

5.<br />

2.<br />

0 20 40 60 80 100<br />

PD Capacity, pF<br />

CsI/PD noise, =2.35*, keV B)<br />

Light Collection=50%<br />

20 nA<br />

5.<br />

2.<br />

0 20 40 60 80 100<br />

PD Capacity, pF<br />

<br />

τ µ <br />

<br />

γ + <br />

<br />

◦ <br />

<br />

<br />

<br />

<br />

<br />

ENC 2 = 43(Cd + 15) 2 /τ + 8τ(Id + 800) + 50000<br />

Cd τ <br />

µ Id <br />

<br />

γ <br />

<br />

· 3 <br />

γ · 3<br />

<br />

<br />

<br />

<br />

2


10 3<br />

10 2<br />

10<br />

1<br />

10 3<br />

10 2<br />

10<br />

1<br />

10 4<br />

10 3<br />

10 2<br />

10<br />

1<br />

CsI(Tl)/PD, 10x10x10/10x10; PD - ’Silicon-Sensor Co’, 0.38mm<br />

Am241, 59.5 keV (Measured by PD)<br />

(ALICE PA)<br />

3.7 keV<br />

200 400 600 800 1000 1200 1400<br />

Cs137, 660 keV<br />

7.7%<br />

200 400 600 800 1000 1200 1400<br />

Co60, 1.17/1.33 MeV<br />

5.7%<br />

200 400 600 800 1000 1200 1400<br />

Channels<br />

241 <br />

γ 137 60 <br />

3 <br />

∼ <br />

<br />

3 <br />

241 <br />

<br />

µ <br />

<br />

<br />

γ <br />

<br />

<br />

γ γ <br />

th · Ω Ω <br />

<br />

ΩnΩ · √ n Eγ <br />

· √ 2.6


+ <br />

<br />

+ <br />

<br />

+ <br />

<br />

+ <br />

<br />

+ <br />

+


+ <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

+ <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

+ <br />

∆ <br />

<br />

<br />

<br />

+ <br />

<br />

<br />

<br />

130 Sn 132 Sn <br />

<br />

+


+ <br />

<br />

<br />

<br />

<br />

+ <br />

<br />

+ <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

+ <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

+


+ <br />

<br />

<br />

<br />

<br />

<br />

23 O<br />

<br />

<br />

<br />

<br />

<br />

+ <br />

<br />

<br />

<br />

<br />

+ <br />

<br />

<br />

<br />

<br />

µ <br />

<br />

<br />

+ <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

+ <br />

<br />

<br />

<br />

+


+ <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

+ <br />

<br />

<br />

12 C(p, p ′ γ) <br />

<br />

<br />

<br />

+


+ <br />

<br />

<br />

<br />

<br />

<br />

+ <br />

<br />

γ <br />

<br />

<br />

<br />

<br />

+ <br />

<br />

23 o <br />

<br />

<br />

<br />

<br />

<br />

+ <br />

<br />

<br />

<br />

<br />

<br />

+ <br />

α/γ <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

+


+ <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

+ <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

16 O 40 Ca 208 Pb <br />

<br />

<br />

<br />

+


+ <br />

<br />

<br />

<br />

<br />

N <br />

<br />

+ <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

+ <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

+


+ <br />

<br />

<br />

<br />

<br />

N <br />

<br />

+ <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

+ <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

+

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!