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FNAL, Jan 25, 2008 Road to Polarized Antiprotons: Depolarization Studies and Spin Filtering Experiments at COSY and AD Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

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Road to Polarized Antiprotons: Depolarization Studies and Spin Filtering Experiments at COSY and AD. Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich. FNAL, Jan 25, 2008. Polarized Antiprotons. Intense beam of polarized antiprotons was never produced : - PowerPoint PPT Presentation

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Page 1: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

FNAL, Jan 25, 2008

Road to Polarized Antiprotons:Depolarization Studies

and Spin Filtering Experiments at COSY and

AD

Frank RathmannInstitut für Kernphysik

Forschungszentrum Jülich

Page 2: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

Frank Rathmann Road to polarized Antiprotons 2 of 19

Intense beam of polarized antiprotons was never produced:

•Conventional methods (ABS) not appliable

•Polarized antiprotons from antilambda decay • I < 1.5∙105 s-1 (P ≈ 0.35)

•Antiproton scattering off liquid H2 target• I < 2∙103 s-1 (P ≈ 0.2)

Little polarization from pbarC scattering exp’ts at LEAR

•Stern-Gerlach spin separation in a beam (never tested)

•6/2007 Walcher/Arenhoevel: polarized electrons/positronsSpin filtering is the only succesfully tested technique

Polarized Antiprotons

Page 3: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

Frank Rathmann Road to polarized Antiprotons 3 of 19

Experimental SetupExperimental Setup ResultsResults

F. Rathmann. et al., PRL 71, 1379 (1993)

T=23 MeV

Low energy pp scattering

1<0 tot+<tot-

Expectation

Target Beam

1992 Filter Test at TSR with protons

Page 4: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

Frank Rathmann Road to polarized Antiprotons 4 of 19

1994 Meyer and Horowitz: three distinct effects1. Selective removal through scattering beyond θacc=4.4 mrad (σR=83 mb)

2. Small angle scattering of target prot. into ring acceptance (σS=52 mb)

3. Spin-transfer from pol. el. of target atoms to stored prot. (σE=-70 mb)

σ1= σR+ σS + σE = 65 mb

2005 Milstein & Strakhovenko + Nikolaev & Pavlov: only one effectOnly pp elastic scattering contributesNo contribution from other two effects σ1 = 85.6 mb

Observed polarization build-up: dP/dt = ± (1.24 ± 0.06) x 10-2 h-1

P(t)=tanh(t/τ1), 1/τ1=σ1Qdtf

σ1 = 72.5 ± 5.8 mb

Two interpretations of FILTEX result

Page 5: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

Frank Rathmann Road to polarized Antiprotons 5 of 19

… only hadronic (Budker-Jülich)

- electromagnetic + hadronic (Meyer-Horowitz)

TSR

… FILTEX does not provide the answer

Effective Polarizing cross sections

Page 6: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

Frank Rathmann Road to polarized Antiprotons 6 of 19

Spin Filtering works, but:

1. Controversial interpretations of FILTEX experiment• Further experimental tests necessary

• Which role do electrons play?• How does spin filtering work?

Tests with protons at COSY

2. No data to predict polarization from filtering with antiprotons Measurements with antiprotons at AD/CERN

Spin Filtering: Present Status

Page 7: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

Frank Rathmann Road to polarized Antiprotons 7 of 19

arXiv:0706.3765v3 [physics.acc-ph] 14Nov 2007

Page 8: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

Frank Rathmann Road to polarized Antiprotons 8 of 19

Principle of the Depolarization Measurement

using co-moving electrons of the e-cooler

Nominal CoolerVoltage

Tnominal = 100 s

Detuned CoolerVoltage

Tdetuned= 50 s

D2 Target onEcool on

D2 Target offEcool on/detuned

2T

T

uneddet

alminno

Eh = 0.001 MeVΔV = 235 V

Page 9: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

Frank Rathmann Road to polarized Antiprotons 9 of 19

Switch off ecooler

Machine Test for Depolarization Measurements(Nov. 2007)

Detuned ecooler ΔU=150 V

Machine-wise, experiment is feasible

Page 10: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

Frank Rathmann Road to polarized Antiprotons 10 of 19

New Low Energy Polarimeter for COSY (Nov. 2007)

ANKE Target Chamber

Two Silicon Tracking Telecopes

Page 11: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

Frank Rathmann Road to polarized Antiprotons 11 of 19

Performance of New Low Energy Polarimeter (Nov. 2007)

Page 12: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

Frank Rathmann Road to polarized Antiprotons 12 of 19

Polarimetry 45 MeV

Page 13: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

Frank Rathmann Road to polarized Antiprotons 13 of 19

First Measurement of Polarization Lifetime at Tp = 45 MeV (Nov. 2007)

Experimental determination of the depolarizing ep cross ~ March 2008

Page 14: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

Frank Rathmann Road to polarized Antiprotons 14 of 19

Goal: •Complete understanding of the spin filtering mechanism

•Disentangle electromagnetic and hadronic contributions to the polarizing cross section

1. Low-beta section

2. Polarized target (former HERMES target)

3. Detector (partially former HERMES Silicon recoil)

Commissioning of AD setup

Spin Filtering studies at COSY

Page 15: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

Frank Rathmann Road to polarized Antiprotons 15 of 19

x,ynew = 0.3 m -> large increase in target density•Shorter buildup time, higher rates•Larger polarization buildup rate due to larger acceptance

Superconducting quadrupoles necessary

Low-β section

Page 16: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

Frank Rathmann Road to polarized Antiprotons 16 of 19

Target Snake

E-cooler

T= 5 - 2.8 GeV Np = 3·107

Study of spin filtering in pbar-p (pbar-d) scattering

Measurement of effective polarization buildup cross-section• Both transverse and longitudinal• Variable acceptance at target• Test also polarized D target

First ever measurement for spin correlations in pbar-p (and pbar-D)

Spin Filtering at AD of CERN

Page 17: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

Frank Rathmann Road to polarized Antiprotons 17 of 19

e-CoolerAPRABS

Polarizer Target

InternalExperiment

Siberian Snake

BInjection

150 m

F. Rathmann et al., PRL 94, 014801 (2005)

Extractione-Cooler

Small Beam Waist at Target β=0.2 mHigh Flux ABS q=1.5·1017 s-1

Dense Target T=100 K, longitudinal Q (300 mT)

beam tube db=ψacc·β·2dt=dt(ψacc), lb=40 cm

(=2·β)

feeding tube df=1 cm, lf=15 cm

Large Acceptance APR

World-First: Antiproton Polarizer Ring (APR)

Page 18: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

Frank Rathmann Road to polarized Antiprotons 18 of 19

Model D: V. Mull, K. Holinde, Phys. Rev. C 51, 2360 (1995)

Model A: T. Hippchen et al., Phys. Rev. C 44, 1323

(1991)

50 100 150 200 250 T (MeV) 50 100 150 200 T (MeV)

0.05

0.10

0.15

0.20

P

0.05

0.10

0.15

0.20

P

2 beam lifetimesΨacc=10-50 mrad

3 beam lifetimesΨacc=20 mrad

Theoretical estimate of Antiproton Beam Polarization (Hadronic Interaction: Longitudinal Spin Filtering)

Page 19: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

Frank Rathmann Road to polarized Antiprotons 19 of 19

Fall 2007 Submission of proposal to COSY-PAC

- Beam depolarization studies

- Beam and polarization lifetime studies

Spring 2008 Technical proposal to COSY-PAC for spin filtering

Technical proposal to SPSC for spin filtering at AD

2008-2009 Design and construction phase

2009 Spin-filtering studies at COSY

Commissioning of AD experiment

Then Installation at AD

Spin-filtering studies at AD

Quite a challenge in front of us:

Young (and less young) polarization enthusiasts are welcome!

Outlook until ~2012

Design of the APR

Page 20: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

Frank Rathmann Road to polarized Antiprotons 20 of 19

Intense beam of polarized antiprotons was never produced:

•Conventional methods (ABS) not appliable

•Polarized antiprotons from antilambda decay • I < 1.5∙105 s-1 (P ≈ 0.35)

•Antiproton scattering off liquid H2 target• I < 2∙103 s-1 (P ≈ 0.2)

•Little polarization from pbarC scattering exp’ts at LEAR

•Stern-Gerlach spin separation in a beam (never tested)

•6/2007 Walcher/Arenhoevel: polarized electrons/positrons

Spin filtering is the only succesfully tested technique

Polarized Antiprotons

Page 21: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

Frank Rathmann Road to polarized Antiprotons 21 of 19

Topics

• IntroductionIntroduction

• Depolarization Studies using unpolarized Depolarization Studies using unpolarized ElectronsElectrons

• Testing the Arenhoevel/Walcher PredictionsTesting the Arenhoevel/Walcher Predictions

• Upper Limit of the Depolarizing Cross SectionUpper Limit of the Depolarizing Cross Section

• Spin Filtering Studies at COSY and ADSpin Filtering Studies at COSY and AD

Page 22: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

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Experimental Setup at TSR (1992)

Page 23: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

Frank Rathmann Road to polarized Antiprotons 23 of 19

1994 Meyer and Horowitz: three distinct effects1. Selective removal through scattering beyond θacc=4.4 mrad (σR=83 mb)

2. Small angle scattering of target prot. into ring acceptance (σS=52 mb)

3. Spin-transfer from pol. el. of target atoms to stored prot. (σE=-70 mb)

σ1= σR+ σS + σE = 65 mb

2005 Milstein & Strakhovenko + Nikolaev & Pavlov: only one effectOnly pp elastic scattering contributesNo contribution from other two effects σ1 = 85.6 mb

Observed polarization build-up: dP/dt = ± (1.24 ± 0.06) x 10-2 h-1

P(t)=tanh(t/τ1), 1/τ1=σ1Qdtf

σ1 = 72.5 ± 5.8 mb

Two interpretations of FILTEX result

Page 24: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

Frank Rathmann Road to polarized Antiprotons 24 of 19

Spin filtering works, but:

1. Controversial interpretations of FILTEX experiment• Further experimental tests necessary

• How does spin filtering work?• Which role do electrons play?

Tests with protons at COSY

2. No data to predict polarization from filtering with antiprotons Measurements with antiprotons at AD/CERN

Spin Filtering: Present Status

Page 25: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

Frank Rathmann Road to polarized Antiprotons 25 of 19

Spin Filtering studies at COSY

Goal: •Understanding the spin filtering mechanism:

•Disentangle electromagnetic and hadronic contributions to the polarizing cross section

Page 26: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

Frank Rathmann Road to polarized Antiprotons 26 of 19

Experimental setup

• Low-beta section • Polarized target (former HERMES

target)• Detector• Snake• Commissioning of AD setup

Page 27: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

Frank Rathmann Road to polarized Antiprotons 27 of 19

x,ynew = 0.3 m -> increase in density with respect to ANKE: factor

30•Shorter buildup time, higher rates•Larger polarization buildup rate due to larger acceptance•Use of former HERMES target and Breit-Rabi Polarimeter

Superconducting quadrupoles necessary

Low-β section

Page 28: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

Frank Rathmann Road to polarized Antiprotons 28 of 19

Acceptance @ ANKE

Cross sections

Acceptance @ new-IP

Lifetimes… only hadronic - electromagnetic + hadronic

__ COSY average ψacc = 1 mrad….. ψacc = 2 mrad

ANKE vs new IP: Acceptance and Lifetime

Page 29: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

Frank Rathmann Road to polarized Antiprotons 29 of 19

PIT Filter. time Polar. Total rate Meas. Time (P/P=10%)

ANKE 2= 16 h 1.2 % 7.5x102 s-1 44 min

5 = 42 h 3.5 % 5x10 s-1 26 min

New IP 2= 5 h 16 % 2.2x104 s-1 1 s

5= 13 h 42 % 1.5x103 s-1 < 1 s

New IP

ANKE

Pola

riza

tion

[%

]

Expectations based on Budker-Jülich:

• T = 40 MeV

• Ninj=1.5x1010 protons

ANKE vs new IP: Polarization

Page 30: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

Frank Rathmann Road to polarized Antiprotons 30 of 19

Injection of different combinations of hyperfine states• Different electron and nuclear polarizations• Null experiments possible:

•Pure electron polarized target (Pz = 0), and•Pure nuclear polarized target (Pe=0)

Inj. states Pe Pz Interaction Holding field

|1> +1 +1 Elm. + had. transv. + longit. weak (20 G)

|1> + |4> 0 +1 only had.longitudinal strong (3kG)

|1> + |2> +1 0 only elm.

Strong fields can be applied only longitudinally (minimal beam interference)

- Snake necessaryTarget polarimetry requires BRP for pure electron and nuclear polarization.

Method 1: Polarization build-up experiments

How to disentangle hadronic and electromagnetic contributions to eff ?

Page 31: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

Frank Rathmann Road to polarized Antiprotons 31 of 19

Target Snake

E-cooler

T= 5 - 2.8 GeV Np = 3·107

Study of spin filtering in pbar-p (pbar-d) scattering

Measurement of effective polarization buildup cross-section• Both transverse and longitudinal• Variable acceptance at target• Test also polarized D target

First ever measurement for spin correlations in pbar-p (and pbar-D)

AD ring at CERN

Page 32: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

Frank Rathmann Road to polarized Antiprotons 32 of 19

Model D: V. Mull, K. Holinde, Phys. Rev. C 51, 2360 (1995)

Model A: T. Hippchen et al., Phys. Rev. C 44, 1323

(1991)

50 100 150 200 250 T (MeV) 50 100 150 200 T (MeV)

0.05

0.10

0.15

0.20

P

0.05

0.10

0.15

0.20

P

2 beam lifetimesΨacc=10-50 mrad

3 beam lifetimesΨacc=20 mrad

Theoretical estimate of Antiproton Beam Polarization (Hadronic Interaction: Longitudinal Spin Filtering)

Page 33: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

Frank Rathmann Road to polarized Antiprotons 33 of 19

Depolarization Studies using unpolarized Depolarization Studies using unpolarized ElectronsElectrons

• Use electrons in ecooler instead of target electrons to observe depolarization

Rough extraction for numerical estimates

Page 34: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

Frank Rathmann Road to polarized Antiprotons 34 of 19

Ecooler Settings for Tp=45 MeV

Typical parameters of COSY Cooler

• Electron Current 240 mA• Cross section 5 cm2

• Length 2 m• Nominal Voltage 24.5 kV

Electron target thickness seen by the protons

Page 35: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

Frank Rathmann Road to polarized Antiprotons 35 of 19

Estimated Polarization Lifetime

revtp fd

1

Page 36: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

Frank Rathmann Road to polarized Antiprotons 36 of 19

Energy Resolution of Protons in Electron Rest System

TT1

p

p

to electron

rest system Tp = 65, 45, 30 MeV

Page 37: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

Frank Rathmann Road to polarized Antiprotons 37 of 19

Polarimetry

Page 38: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

Frank Rathmann Road to polarized Antiprotons 38 of 19

Polarimetry

Page 39: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

Frank Rathmann Road to polarized Antiprotons 39 of 19

Beam Polarization with detuned cooler

Eh = 0.001, 0.002, 0.003 MeV

D2 Target onEcool on

D2 Target offEcool on/detuned

Page 40: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

Frank Rathmann Road to polarized Antiprotons 40 of 19

Counting statistics• With

– 109 stored protons at T = 45 MeV– Target thickness dt(D2) = 2·1014 cm-2

– Injected Beam Polarization P = 0.8– Detector system as shown– After 1 cycle (250 s): ΔP = 0.108

15 cycles (~1 h): ΔP = 0.03150 cycles (~10h): ΔP = 0.009

Eh (MeV) ΔV (V) τp(A-W) (s) P(t=250 s)

0.001 234 0.04 0

0.002 332 25 0.10

0.003 407 2000 0.78

Page 41: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

Frank Rathmann Road to polarized Antiprotons 41 of 19

Estimated Precision of Polarization Lifetime based on Counting Statistics in

Polarimeter

revt

in

out

fdt

)PP

ln(

Eh = 0.001, 0.01, 0.1 MeV

Measuring time per point: ~14 h

Page 42: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

Frank Rathmann Road to polarized Antiprotons 42 of 19

Measuring time per point: ~14 h

Eh = 0.002 MeV

Estimated Precision of Polarization Lifetime based on counting statistics

Page 43: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

Frank Rathmann Road to polarized Antiprotons 43 of 19

Phase 0: present -2012

Physics: buildup measurements @ COSY and CERN

APR design and construction

Phase I: 2015-2019

APR+CSR @ GSI

Physics: EMFF, p-pbar elastic with fixed target

Phase II: 2020 - …

HESR+CSR asymmetric collider

Physics: h1

Outlook beyond 2012

Page 44: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

Antiproton Facility spares

Page 45: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

Frank Rathmann Road to polarized Antiprotons 45 of 19

HESR

Antiproton Production

Target

HESR (High Energy Storage Ring)• Length 442 m• Bρ = 50 Tm• N = 5 x 1010 antiprotons

High luminosity mode• Luminosity = 2 x 1032 cm-2s-1

• Δp/p ~ 10-4 (stochastic-cooling)

High resolution mode• Δp/p ~ 10-5 (8 MV HE e-cooling)• Luminosity = 1031 cm-2s-1

•Antiproton production similar to CERN

•Production rate 107/sec at 30 GeV•T = 1.5 - 15 GeV/c

Gas Target and Pellet Target: cooling power determines thickness

SuperFRS

NESR

CR

Beam Cooling: e- and/or stochastic2MV prototype e-cooling at COSY

SIS100/300

The Antiproton Facility

Page 46: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

Spin Filtering spares

Page 47: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

Frank Rathmann Road to polarized Antiprotons 47 of 19

e-CoolerAPRABS

Polarizer Target

InternalExperiment

Siberian Snake

BInjection

150 m

F. Rathmann et al., PRL 94, 014801 (2005)

Extractione-Cooler

Small Beam Waist at Target β=0.2 mHigh Flux ABS q=1.5·1017 s-1

Dense Target T=100 K, longitudinal Q (300 mT)

beam tube db=ψacc·β·2dt=dt(ψacc), lb=40 cm

(=2·β)

feeding tube df=1 cm, lf=15 cm

Large Acceptance APR

World-First: Antiproton Polarizer Ring (APR)

Page 48: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

Frank Rathmann Road to polarized Antiprotons 48 of 19

statistical error of a double polarization observable (ATT)

NQP

1TTA

Measuring time t to achieve a certain error

δATT

t ~ FOM = P2·I

Polarization Buildup: General Features IV

(N ~ I)

Optimimum time forPolarization Buildup

given by maximum of FOM(t)tfilter = 2·τbeam

0 2 4 6 t/τbeam

I/I 0

0.2

0.4

0.6

0.8

Beam

Pola

riza

tion

Page 49: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

Frank Rathmann Road to polarized Antiprotons 49 of 19

Figure of Merit at new IP

Topt ~ 55 MeV

Calculation based on Budker-Jülich

Page 50: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

Frank Rathmann Road to polarized Antiprotons 50 of 19

• Will measure beam polarization by using the polarization observables:

•p-p elastic (COSY)•pbar-p elastic (AD)

• Good azimuthal resolution (up/down asymmetries)• Low energy recoil (<8 MeV)

•Silicon telescopes•Thin 5μm Teflon cell needed

• Angular resolution for the forward particle for p-pbar at AD• AD experiment will require an openable cell

Detector concept

Page 51: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

Frank Rathmann Road to polarized Antiprotons 51 of 19

Beam Polarization in a dedicated Antiproton Polarizer

0.1

0.2

0.3

0.4

Beam

Pola

riza

tion P

(2·τ

beam)

01 10 T (MeV)100

Polarisation buildup through spin transfer

5030

ψacc(mrad)

10

epep Horowitz & Meyer, PRL 72, 3981

(1994)H.O. Meyer, PRE 50, 1485 (1994)

PAX will exploit spin-transfer to polarize antiprotons and to go after transversity

Page 52: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

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“If polarized electrons polarize an initially unpolarized beam, then, unpolarized electrons should depolarize an initially polarized beam!”

Method 2: Depolarization experiments

Electrons in 4He storage cell or D cluster-jet target:

• Large analyzing power• Large counting rates

• Distinguish electron effect from normal depolarization in COSY

• Prerequisites:•Large beam lifetime•Large polarization lifetime

4Heempty

Prediction for ANKE/COSY (4 weeks)

Approved new Proposal for COSY

4He

Hans-Otto Meyer’s suggestion

Page 53: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

Frank Rathmann Road to polarized Antiprotons 53 of 19

Polarization Buildup:

P beam polarizationQ target polarizationk || beam direction

σtot = σ0 + σ·P·Q + σ||·(P·k)(Q·k)

polbeam

polbeam

tt

0

tt

0

ee2

I)t(I

ee2

I)t(I

transverse case:

Q0tot

longitudinal case:

Q)( ||0tot

For initially equally populated spin states: (m=+½) and (m=-½)

revtpolpol

revtc0beam

fdQ

1

fd)(

1

)t(I)t(P)t(FOM

tcosheIII)t(I

ttanh

II

II)t(P

2

pol

t

0

pol

beam

Time dependence of P, I, and FOM

Page 54: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

Frank Rathmann Road to polarized Antiprotons 54 of 19

Principle of spin-filtering

P beam polarizationQ target polarizationk || beam direction

σtot = σ0 + σ·P·Q + σ||·(P·k)(Q·k)

transverse case:

Q0tot

longitudinal case:

Q)( ||0tot

For initially equally populated spin states: (m=+½) and (m=-½)

Unpolarized anti-p beam

Polarized H target

Polarization Buildup:

Page 55: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

Frank Rathmann Road to polarized Antiprotons 55 of 19

P beam polarizationQ target polarizationk || beam direction

σtot = σ0 + σ·P·Q + σ||·(P·k)(Q·k)

transverse case:

Q0tot

longitudinal case:

Q)( ||0tot

For initially equally populated spin states: (m=+½) and (m=-½)

Unpolarized anti-p beam

Polarized H target

Polarized anti-p beam

Polarization Buildup:

Page 56: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

Frank Rathmann Road to polarized Antiprotons 56 of 19

Experimental SetupExperimental Setup ResultsResults

F. Rathmann. et al., PRL 71, 1379 (1993)

T=23 MeV

Low energy pp scattering

1<0 tot+<tot-

Expectation

Target Beam

1992 Filter Test at TSR with protons

Page 57: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

Frank Rathmann Road to polarized Antiprotons 57 of 19

Rate EstimateFür 1*E9 Protonen mit einer Polarisation von 0.8.

Target sind 2E14/cm2 d und die Strahlenergie beträgt 45MeV.

Die Plots findest du angehängt.

Weitere Zahlen:

Totale Zählraten L:5.8/s R:8.1/s

Error of Polarization after 1s: 0.86

(Die 0.13 waren bei 100s E7 Teilchen, aber 30mal....)

Integriert man über 100s (Strahllebensdauer ebenfalls 100s) dann erhält

man (100 -100/e)=63.2 -fache Statistik also einen Fehler von

0.86/sqrt(63.2)=0.108. Dies ist leider deutlich schlechter als die

erhofften 0.02, aber sicherlich kein Showstopper.

Dauer eines Zyklus:

10s für Injektion

100s für E-Cooler-Spielerei

100s für Polarisationsmessung

5s für Extraktion

==============================

215s = 4Min(240s)

In einer Stunde hätten wir also 15 Zyklen also einen Fehler von 0.03.

Nach 10h: 0.009. Wir sollten also ohne Probleme an einem Tag sowohl die

Injektionspolarisation, sowie die Polarisation nach E-Cooler-Spielerei

messen können.

Page 58: Frank Rathmann Institut für Kernphysik Forschungszentrum Jülich

Frank Rathmann Road to polarized Antiprotons 58 of 19

“If polarized electrons polarize an initially unpolarized beam, then, unpolarized electrons should depolarize an initially polarized beam!”

Electrons in 4He storage cell or D cluster-jet target:

• Large analyzing power• Large counting rates

• Distinguish electron effect from normal depolarization in COSY

• Prerequisites:•Large beam lifetime•Large polarization lifetime

4Heempty

Prediction for ANKE/COSY (4 weeks)

Approved new Proposal for COSY

4He

Depolarization Study at COSY

Explore also option with co-moving electrons in cooler