HD target. HD target overview Characteristics of polarized HD target Polarization Method HD target...

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HD target

HD target overview

Characteristics of polarized HD targetPolarization MethodHD target is polarized by the static method using “brute force” at low temperature (10 mK) and high magnetic field (17 T). It takes about 2-3 months to polarize the target.

Advantage and disadvantageHD molecule does not contain heavy nuclei such as Carbon and Nitrogen. Good for experiments observing reactions with small cross sectionThe HD target needs thin aluminum wires (at most 20% in weight) to insure the cooling.

Polarization H : 90 % D : 60 %

Relaxation Time30 days at 200 mK and 1 T during the experiment.

Target Size25 mm in diameter 50 mm in thickness

HD target transportationRCNP Osaka university

From RCNP to SPring-8

BL33LEP SPring-8

K+

K-

In Beam Cryostat

Transfer Cryostat 1

Transfer Cryostat 2Experiment

HD Target

Dilution Refrigerator

StorageCryostat

Dilution refrigeratorLeiden Cryogenics

DRS-3000   (He3-He4)

Cooling power     

    3000μW at 120 mK

Lowest temperature  

    6 mK

Magnetic Field     

    17 T

Homogeneity of Magnetic Field

    5×10-4 for 15 cm

Two Transfer Cryostats

Right : used at RCNPLeft : used at SPring-8

Al wire

2.5cm

IBC ( In Beam Cryostat ) for BL33LEP

NEXT

• Develop NMR system

• To advance the dilution refrigeration

• pure HD gas

• To advance the connector from target to cooling system

Temperature calculation of HD target

Temperature calculation of HD target

by M. M. Lowry.

M M Lowry, F Lincoln, L Miceli, T Saitoh, A Sandorfi, X Wei, C Whisnant. Progress on the LEGS polarized HD target. Int'l workshop on polarized beams and polarized targets, PST 2001, Vol Sept 2001, (2001)

Thermal conductivity of Aluminum

*

*

AT

LQ

(W/k-m)

Q = heat flow rate = 0.5 μWΔT = temperature difference =T2 -T1

L = the length of aluminum wire = 5 cmA = (section area of one aluminum wire) × (number of aluminum wire)

= × (Diameter of wire)2 × (Number of wire)4

L

Area

Q

T1

T2

Al

Aluminum wire temperature

We cut the aluminum wire to N partκ(figure) = κAl / TAl

κAl = κ(figure) ×TAl

ΔL = (the length of aluminum wire ) /N

T1

AlΔL

T0

TN

T2

AT

LQT

Alfigure **

*

)(

AT

LQTT

figure **

*

0)(01

AT

LQTT

figure **

*

1)(12

AT

LQTT

NfigureNN **

*

1)(1

...

T of wire at ring 17 mk

T of wire at top of HD 113.249 mk

T of wire at middle of HD 152.539 mk

2.5cm

T of wire at end of HD 183.604 mk

2.5cm

3cm

Q = Ortho Decay Heating = 0.5 μWWire material = Al 5056Number of wire = 3000Diameter of wire = 38.1 μmThermal conductivity of Al wire = 0.7 W/m/K^2

T of wire at ring 17 mk

T of wire at top of HD 17.359 mk

T of wire at middle of HD 17.653 mk

2.5cm

T of wire at end of HD 17.941 mk

2.5cm

3cm

Q = Ortho Decay Heating = 0.5 μWWire material = 99.999% AlNumber of wire = 2000Diameter of wire = 50.8 μmThermal conductivity of Al wire = 600 W/m/K^2

T of wire at middle of HD

HD temperature next to aluminum wire

Kapitza resistance = Thermal boundary resistance =Contact resistance

TAT

QR

surface

3kapitza

HD temperature next to aluminum wire

surfaceAlAlHD AT

RQTT

3

1

Q (A. Honig) = heat flow rate = 2.8×10-8 (W)Dwire (A. Honig) = diameter of wire = 50 μm

Nwire (A. Honig) = number of wire = 60

L wire (A. Honig) = length of wire = 5 cm

A surface (A. Honig) = (surface area of one aluminum wire) * Nwire

= π × (Diameter of wire) × (Length of wire) × (Number of wire) = π × (0.000050) × (0.05) × (60) (m^2)

= 0.000471 (m^2)

A. Honig, Q. Fan ,X Wei, A. M. Sandorfi, C. S. Whisnant, Nuclear Instruments and Methods in Physics Research Section A 356 39-46 (1995)

HD temperature next to aluminum wire

• The Kapitza resistance is 405422304 (W/ (m^2) (mk^3)). • The error of kapitza resistance is 32802524 (W/ (m^2) (mk^3))

• Q = Ortho Decay Heating = 0.5 μW• Wire material = 99.999% Al• Number of wire = 2000• Diameter of wire = 50.8 μm• Length of wire = 5 cm• TAl = 17.653 mk

• Asurface = π × (Diameter of wire) × (Length of wire) × (Number of wire) • =π × (0.0000508) × (0.05) × (2000) (m^2)• = 0.0159593 (m^2)

• THD =

• = (mk)

• = 19.9619 ±0.186813 (mk)

surfaceAlAl AT

RQT

3

1

3653.170159593.0

)32802524405422304(0000005.0653.17

T of wire at middle of HD

thermal conductivity of HD

TTTTcTccT 31271 )185.0(

Where α, β, γ, δ, σ are constants, which given by REF3, α=0.099, β=1.32×10-3, γ= 0.57, δ=0.0031, σ=3.34 ×10-3

Where “T” is the temperature of HD.

Where “c” is the (J=1) concentration.

J = rotational quantum number

o-H2 (J=1)

p-H2 (J=0)

time → ∞ , c→ 0

HD temperature farthest to aluminum wire

J. H. Constable and J. R. Gaines, Phys. Rev. B 8,3966 (1973)

Al ri

ro

HD

q

HD temperature farthest to aluminum wire

rLAr 2

dr

dTAq r

dr

dTLrq 2

this boundary conditions T = Ti at r = riT = To at r = ro

)/ln(

)(2

io

io

rr

TTLq

HD temperature farthest to aluminum wire

L

rrqTT

2

)/ln( 0101

L

rrqTT

2

)/ln( 1212

L

rrqTT NNNN 2

)/ln( 11

wiresofnumber

targetHD of areasection per wire areasection effective N

AA

wiresofnumber

targetHD of radiussection per wire radiussection effective

N

rr

...

Use computer to calculate temperature

Al 5056 99.999% Al

Numer of wire 3000 2000

L 5 cm 5 cm

rsection radius of HD target 1.25 cm 1.25 cm

r0 19.05 μm 25.4 μm

rN

(reffective section radius per wire)

228.218 μm 279.509 μm

T0 133.8 mk 19.84 mk

TN in figure 1 133.8 mk 19.94mk

TN in our calculation 133.8 mk 19.9757 mk

Calculation of various HD target

cm 5 target ofLength ; cm 1.25 target of Radius

target)of(Length ) targetof Radius(

) wireofLength () wireof Radius() wireofNumber ()

V

V( ratio Volume

2

2

HDAl

Al

T of wire at ring 17 mk

T of wire at top of HD 17.359 mk

T of wire at middle of HD 17.653 mk2.5cm

T of wire at end of HD 17.941 mk

2.5cm

3cm

Q = Ortho Decay Heating = 0.5 μWWire material = 99.999% AlNumber of wire = 2000Diameter of wire = 50.8 μmThermal conductivity of Al wire = 600 W/m/K^2Volume ratio ( Al /(HD+Al)) = 0.00825805

T of HD next to HD 19.9619±0.186813 mk

T of HD farthest of wire 20.0952 mk

Q (μW) 0.5

Wire material 99.999% Al

Length of Wire (cm) 5

T of wire at ring (mk) 17

Number of wire 500 2000

Diameter of wire (μm) 25 50 100 200 25 50 100 200

Volume ratio ( Al / HD+Al) 0.0005 0.002 0.008 0.032 0.002 0.008 0.032 0.128

T of wire at top of HD (mk) 22.197 18.437 17.37 17.093 18.437 17.37 17.093 17.023

T of wire at middle of HD (mk)

25.739 19.554 17.673 17.171 19.554 17.673 17.171 17.043

T of wire at end of HD (mk) 28.849 20.611 17.971 17.248 20.611 17.971 17.248 17.062

T of HD next to HD (mk) 31.7934±0.489861

26.4582±0.558612

22.3488±0.37831

8

19.72±0.2062

4

23.0061±0.279306

20.0109±0.18915

9

18.4455±0.10312

17.6947±0.05273

02

T of HD farthest of wire (mk) 32.0039 26.757 22.7311 20.1154 23.1222 20.1441 18.5668 17.7757

Number of wire 1000 4000

Diameter of wire (μm) 25 50 100 200 25 50 100 200

Volume ratio ( Al / HD+Al) 0.001 0.004 0.016 0.064 0.004 0.016 0.064 0.256

T of wire at top of HD (mk) 19.77 17.733 17.186 17.047 17.733 17.186 17.047 17.012

T of wire at middle of HD (mk)

21.812 18.322 17.34 17.086 18.322 17.34 17.086 17.021

T of wire at end of HD (mk) 23.678 18.892 17.492 17.124 18.892 17.492 17.124 17.031

T of HD next to HD (mk) 26.7863±0.402466

22.5183±0.339523

19.8152±0.20026

8

18.3796±0.1046

66

20.4202±0.169762

18.5776±0.10013

4

17.7328±0.05233

31

17.3481±0.0264674

T of HD farthest of wire (mk) 26.9467 22.7365 20.0508 18.5762 20.5001 18.6541 17.7929 17.3832

purify HD

purify HD

Distillator

topD2 solid, H2 gas, HD liquid

middleD2 solid, H2 gas, HD gas

bottomD2 solid, H2 gas, HD gas

HD~ 96%

D2~ 2%

H2~ 2%

H2~ 50%

HD~ 50%

2 week

H2

H2~ 4~6%

HD~95%

2 week

HD~ 99.999%

principle of concentration sensor

• use filament to ionize gas

ionize gas here

H2+

D2+

HD+

sensor

digital data

AMP(amplifier)

In amplifier, use different gain for each gasPC

concentration

sensor

pressure controller

pressuremonitorDistillator

top

middlebottom

throw gas out

concentration measurement

A

B

C

D

E

F

G

H I

1. open A, get gas for top of Distillator. J

2. close D, open B, then close B, now gas in C. 3. open D, then close D, now gas from C to E

4. control pressure by F, see J the pressure should be 9.0x10-7 mbar

6. close the software RGA

gas here

gas here

gas here

gas here

0. A ,B should closed, open D and G, measure background.

5. measure gas concentration by RGA (Residual gas Analyzer)

7. open G, then close G throw the gas away

gas outside

gas here

Physics objectives1 To investigate the ss content in the nucleon by the p -> p (n -> n) reaction To know the structure of the proton and neutron correctly is the

fundamental desire.

2 To determine the spin-parity of + particle Although I do not follow recent theoretical studies, to fix the initial

nucleon spin and photon polarization must be important.

3 To study the reaction mechanism of the hyperon photoproduction

Recently some interesting results measuring the double polarization

observables appeared. Advanced studies need the polarized nucleon target.