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LIFETIME MEASUREMENT OF AND ATOMS TO TEST LOW ENERGY QCD Addendum to the DIRAC Proposal. L. Nemenov 27 April 2004. CERN-SPSC-2004-009 SPSC-P-284 Add. 4 12 April, 2004. EUROPEAN ORGANIZATION FOR NUCLEAR RESEARCH. - PowerPoint PPT Presentation
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EUROPEAN ORGANIZATION FOR NUCLEAR RESEARCH CERN Geneva, Switzerland Czech Technical University Prague, Czech Republic Institute of Physics ASCR Prague, Czech Republic Ioannina University, Greece INFN - Laboratori Nazionali di Frascati Frascati, Italy Trieste University and INFN-Trieste Italy KEK Tsukuba, Japan Kyoto Sangyou University Japan UOEH-Kyushu Japan Tokyo Metropolitan University Japan National Institute for Physics and Nuclear Engineering IFIN-HH Bucharest, Romania JINR Dubna, Russia Skobeltsyn Institute for Nuclear Physics of Moscow State University Moscow, Russia IHEP Protvino, Russia CERN-SPSC-2004- 009 SPSC-P-284 Add. 4 12 April, 2004 L. Nemenov 27 April 2004 LIFETIME MEASUREMENT OF AND ATOMS TO TEST LOW ENERGY QCD Addendum to the DIRAC Proposal K
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Page 1: EUROPEAN ORGANIZATION FOR NUCLEAR RESEARCH

EUROPEAN ORGANIZATION FOR NUCLEAR RESEARCH

CERN Geneva, Switzerland

Czech Technical University Prague, Czech Republic

Institute of Physics ASCR Prague, Czech RepublicIoannina University, Greece

INFN - Laboratori Nazionali di Frascati Frascati, Italy

Trieste University and INFN-Trieste Italy

KEK Tsukuba, Japan

Kyoto Sangyou University Japan

UOEH-Kyushu JapanTokyo Metropolitan University Japan

National Institute for Physics and Nuclear Engineering IFIN-HH Bucharest, Romania

JINR Dubna, Russia

Skobeltsyn Institute for Nuclear Physics of Moscow State University Moscow, Russia

IHEP Protvino, Russia

Santiago de Compostela University Spain

Basel University Switzerland

Bern University Switzerland

75 Physicists from 17 Institutes

CERN-SPSC-2004-009SPSC-P-284 Add. 412 April, 2004

L. Nemenov 27 April 2004

LIFETIME MEASUREMENT OF AND ATOMS TO TEST LOW ENERGY QCD

Addendum to the DIRAC Proposal

K

Page 2: EUROPEAN ORGANIZATION FOR NUCLEAR RESEARCH

The proposed experiment is the further development of the

current DIRAC experiment at CERN PS. It aims to measure

simultaneously the lifetime of + - atoms (A2), to observe K

atoms (A K) and to measure their lifetime using 24 GeV proton

beam PS CERN and the upgraded DIRAC setup.

The precision of A2 lifetime measurement will be better than 6%

and the difference |a0 - a2| will be determined within 3% or

better.

The accuracy of A K lifetime measurement will be at the level of

20% and the difference |a1/2-a3/2| will be estimated at the level of

10%.

The pion-pion and pion-kaon scattering lengths have never been

verified by experimental data with the sufficient accuracy. For

this reason the proposed measurements will be a crucial check of

the low energy QCD predictions and our understanding of the

nature of the QCD vacuum.

The observation of the long-lived (metastable) A2 states is also

considered with the same setup. This will allow us to measure

the energy difference between ns and np states and to determine

the value of 2a0+a2 in a model-independent way.

L. Nemenov 27 April 2004

Page 3: EUROPEAN ORGANIZATION FOR NUCLEAR RESEARCH

perturbative QCD: LQCD (q,g)

interaction „weak“(asympt. freedom):expansion in coupling

Check only Lsym

chiral sym. & break: Leff (GB: ,K,)

interaction „strong“(confinement) - but: expansion in energy

Check Lsym as well as Lbreak-sym

q-condensate

QFD

QCD

QED

Standard Model

Q>> Q<<

LOW energy(large distance)

HIGH energy(small distance)

L. Nemenov 27 April 2004

Page 4: EUROPEAN ORGANIZATION FOR NUCLEAR RESEARCH

ChPT predicts s-wave scattering lengths:

0

2

0 2

0.220 0.005(2.3%)

0.0444 0.0010(2.3%)

0.265 0.004(1.5%)

a

a

a a

Chiral expansion of the mass:

M2 mu md B mu md B 2 l 3

32 2F 2O (mu md )3 (1)

2where | 0 | | 0 | is t hereflecting a prop

,.erty of the

quark condensateQCD vacu

uu

BF um

M mu md 0 u u 0 F2

0 2 3

0 3(BNL)

e.g.: 0.260 3% 1 11 or 1.00 / 1.06

E865: 0.216 6% 12 or .98 / 1.06

a a l M M

a l M M

scatteringscattering

3SchPT 0 5l

(1)

3Measurement of estimate of | 0 | | 0 |:u dl m m uu

L. Nemenov 27 April 2004

Page 5: EUROPEAN ORGANIZATION FOR NUCLEAR RESEARCH

A2* is a metastable atom

small angle

π πE E

+

Externalbeam

p

For pA = 5.6 GeV/c and = 20 1s = 2.9 × 10 15 s , 1s = 1.7 × 10 3 cm

2s = 2.3 × 10 14 s , 2s = 1.4 × 10 2 cm

2p = 1.17 × 10 11 s , 2p = 7 cm

3p 43 cm

4p 170 cm

L. Nemenov 27 April 2004

TargetZ

Thickness Μm

Br Σ(l ≥1)

2p0 3p0 4p0 Σ(l =1, m = 0)

04 100 4.45% 5.86% 1.05% 0.46% 0.15% 1.90%

06 50 5.00% 6.92% 1.46% 0.51% 0.16% 2.52%

13 20 5.28% 7.84% 1.75% 0.57% 0.18% 2.63%

28 5 9.42% 9.69% 2.40% 0.58% 0.18% 3.29%

78 2 18.8% 10.5% 2.70% 0.54% 0.16% 3.53%

Probabilities of the A2π breakup (Br) and yields of the long-lived states for different targets provided the maximum yield of

summed population of the long-lived states: Σ(l ≥1)

Page 6: EUROPEAN ORGANIZATION FOR NUCLEAR RESEARCH

L. Nemenov 27 April 2004

4( )e eK e K

Rosselet et al. CERN, 1977

0 0.216 0.013 (stat)0.004 (sys) 0.002 (th),

a

Pislak et al. E865/BNL,2001/03

0 0.26 0.05,a 1) using Roy eq.

2a)0

2

0.203 0.0330.055 0.023

aa

0 1 2 20 1

measurement of the phase difference (s) (s)- (s) for 4 KM s M

2c)

2b)

using Roy eq. & 2 ChPT 0( )a f a

same method as in 2b:

0

0

0.221 0.026(at 95% CL)cp. 0.220 0.005(2 loop)a

a

Colangelo, Gasser, Leutwyler, 2001

33

322 2

16 and therefore

64u d u d

ll

M m m B m m BF

> 94%

Page 7: EUROPEAN ORGANIZATION FOR NUCLEAR RESEARCH

L. Nemenov 27 April 2004

I. ChPT predicts s-wave scattering lengths:

( 2 ) ( 4 )

1/ 2 3/ 20 00.19 0.2 0.05 0.0

1

2

,L L

a a

and loop

KK scattering scattering

1/ 2 3/ 20 0 0.23 0.01 a a

( 2 ) ( 4 ) ( 6), , 2 -L L L and loop

1/ 2 3/ 20 0 0.269 0.015 a a

V. Bernard, N. Kaiser, U. Meissner. – 1991

J. Bijnens, P. Talaver. – April 2004

A. Rossel. – 1999

II. Roy-Steiner equations:

III. AK lifetime:0 0 0 0

0 0 1/ 2 3/ 2 20 0

15(3.7

( )

( ) ~ | prec

0.4)

issio

1

~ %

0

n 1|

K K

A K A K

K a a

s

J. Schweizer. – 2004

Page 8: EUROPEAN ORGANIZATION FOR NUCLEAR RESEARCH

L. Nemenov 27 April 2004

In the 60’s and 70’s set of experiments were performed to measure πK scattering amplitudes. Most of them were done studying the scattering of kaons on protons or neutrons, andlater also on deuterons. The kaon beams used in these experiments had energies ranging from 2 to 13 GeV. The main idea of those experiments was to determine the contribution of the One Pion Exchange (OPE) mechanism. This allows to obtain the πK scattering amplitude. Analysis of experiments gave the phases of πK-scattering in the region of 0.7 ≤ m(πK) ≤ 2.5 GeV. The most reliable data on the phases belong to the region 1 ≤ m(πK) ≤ 2.5 GeV.

KK scattering, scattering, experimental resultsexperimental results

The measurement of s-wave πK scattering length would test our understanding of chiral SU(3)L SU(3)R symmetry breaking of QCD (u, d and s), while the measurement of ππ scattering length checks only SU(2)L SU(2)R symmetry breaking (u, d).

This is the main difference between ππ and πK scattering!

What new will be What new will be known ifknown if KK

scattering length will scattering length will be measured?be measured?

Page 9: EUROPEAN ORGANIZATION FOR NUCLEAR RESEARCH

Schematic top view of the DIRAC spectrometer. Upstream of the magnet: microstrip gas chambers (MSGC), scintillating fiber detectors (SFD), ionization hodoscopes (IH) and shielding of iron.

Downstream of the magnet, in each spectrometer arm: drift chambers (DC) , vertical and horizontal scintillation hodoscopes (VH, HH), gas Cherenkov counter (Ch), preshower detector (PSh) and, behind the iron absorber, muon detector (Mu).

L. Nemenov 27 April 2004

Page 10: EUROPEAN ORGANIZATION FOR NUCLEAR RESEARCH

Schematic top view of the updated DIRAC spectrometer.

Upstream of the spectrometer magnet: microdrift chambers (MDC) , scintillating fiber detectors (SFD) , ionization hodoscopes (IH).

Downstream of the magnet, in each spectrometer arm: drift chambers (DC), vertical and horizontal scintillation hodoscopes (VH, HH), gas Cherenkov counters (Ch), preshower detector (PSh) and, behind the iron absorber, muon detector (Mu).

In the left arm: Aerogel Cherenkov counters.

L. Nemenov 27 April 2004

Page 11: EUROPEAN ORGANIZATION FOR NUCLEAR RESEARCH

present shielding

new shielding

L. Nemenov 27 April 2004

Page 12: EUROPEAN ORGANIZATION FOR NUCLEAR RESEARCH

Size of sensitive area: 5050 mm2

SciFi used: KURARAY SCSF-78, 0.28 mm ø.

Number of SciFi layers/bundle: 7

Thickness of the bundles: 3 mm ( 1% X0)

Fiber pitch: 0.205 mm

Number of channels: 240(X) + 240(Y)

Number of PSPM(H6568): 15(X) + 15(Y)

L. Nemenov 27 April 2004

Page 13: EUROPEAN ORGANIZATION FOR NUCLEAR RESEARCH

Yield of +, K+ and p at the proton energy of 24 GeV/c, in arbitrary units

(T.Eichten and D.Haidt Nucl. Phys. B44 (1972) 333)

Target θ, mrd GeV/c + K + p /K+ p/K+

Cu 87 4 52.9 6.25 24.8 8.5 4.0

Cu 87 6 18.6 2.82 20.2 6.6 7.2

Cu 127 4 27.8 4.02 17.9 6.9 4.5

Cu 127 6 6.38 1.20 9.30 5.3 7.7

L. Nemenov 27 April 2004

Page 14: EUROPEAN ORGANIZATION FOR NUCLEAR RESEARCH

2

7.(

)4

)

(%

K K

N A A

N A

Atoms Yields11.0·10 -10

0.52·10 -10

0.29·10 -10

0.81·10 -10

Table 1: Yields of detected A and A K

(NA per one p-Ni interaction).

Yield of A K for the reaction p + Ni→A K + X (left figure for -K+ and right for

+K-) at the proton energy Ep=24 GeV as a function of the atom momentum. Yellow histogram shows A K emitted into the angular aperture of the secondary channel. Green histogram refers to the atoms detected by the DIRAC setup.

Yield of A2 in the upgraded setup for the reaction p + Ni→ A2 + X at the proton energy Ep=24 GeV as a function of the atom momentum. Yellow histogram shows A2 emitted into the angular aperture of the secondary channel. Green histogram refers to atoms detected by the DIRAC setup.

2A

KA

KA

KK

AA

L. Nemenov 27 April 2004

Page 15: EUROPEAN ORGANIZATION FOR NUCLEAR RESEARCH

Trajectories of Trajectories of -- and and K K ++

from the from the AAKK break up break up

The numbers to the right of the tracks lines are the -

and K+ momenta in GeV/c.

The A K, - and K+ momenta are shown in the table in

the upper left corner.

L. Nemenov 27 April 2004

Page 16: EUROPEAN ORGANIZATION FOR NUCLEAR RESEARCH

Side view of the target station and the new shielding 1. The target station, the shielding and the rectangle vacuum tubes (initial part of the secondary particle channel and part of the proton tube) are cut along the proton beam. The secondary beam and a collimator for the secondary beam are shown. The small permanent magnet is visible in vacuum between the target station and shielding.

L. Nemenov 27 April 2004

Page 17: EUROPEAN ORGANIZATION FOR NUCLEAR RESEARCH

1. Single–multilayer targets decrease the systematic errors.

2. Identification of e±, ±, K ± and p3. Increasing of statistics and efficiency of the setup

Shielding K ≈ 1.9 Formation of time structure of the spill with the

trigger of setup

Microdrift chambers

New electronics for SFD

Increase in the aperture on VH hodoscope and PSH Total K ≈ 4

L. Nemenov 27 April 2004

Page 18: EUROPEAN ORGANIZATION FOR NUCLEAR RESEARCH

Cost estimation for Cost estimation for AA22 and and AAKK experiment experiment

Setup upgradingVacuum channel and shielding: 20 kCHFMicro Drift Chambers: 18 kCHFElectronics for SFD (960 channels): 210 kCHFDrift Chambers: 30 kCHFElectronics for VH (72 channels): 20 kCHFScintillation counters (8 counters): 20 kCHFAerogel detectors(2 detectors): 48 kCHFUpgrade of the existing Cherenkov counters: 20 kCHFGas Cherenkov counters with heavy gas(2 counters): 52 kCHFPreshower detector: 30 kCHFTrigger and Readout system: 100 kCHF_______________________________________________Overall cost of the setup upgrading: 568 kCHF

It is 16% from the cost of the existing DIRAC setup

Cost of the existing DIRAC setupSetup: 3.5 MCHFElectronics rented from CERN pool: 0.4 MCHF

3.9 MCHF

L. Nemenov 27 April 2004

Page 19: EUROPEAN ORGANIZATION FOR NUCLEAR RESEARCH

Microdrift Chambers with readout electronics JINR Dubna, Bazel; Scintillating Fiber Detector Japanese group, INFN–Trieste, IHEP Protvino; Ionization Hodoscope IHEP Protvino; Drift Chambers with readout electronics JINR Dubna; Vertical Hodoscope Santiago de Compostela University; Horizontal Hodoscope IHEP Protvino; Preshower Detector IFIN–HH Bucharest; Cherenkov Counters INFN Frascati Muon Counters IHEP Protvino; Trigger and DAQ JINR Dubna with the support of the collaboration.

L. Nemenov 27 April 2004

Page 20: EUROPEAN ORGANIZATION FOR NUCLEAR RESEARCH

Manufacture of all new detectors and electronics: 18 months

Installation of new detectors: 3

months

2006Upgraded setup test and calibration: 4 monthsObservation A2 in the long-lived states.

2007 and 2008Measurement of A2 lifetime: 10 months

In this time 66000 atomic pairs will be collected to

estimate A2 lifetime with precision of:

In the same time we also plan to observe AK and to detect 5000 K atomic pairs to estimate AK lifetime with precision of:

This estimation of the beam time is based on the A2

statistics collected in 2001-2003 and on the assumptionof having 2.5 spills per supercycle during 20hours per day.

Time scale for the Time scale for the AA22 and and AAKK experimentexperiment

0 2

0 2

( )6%, 3%

a a

a a

1/ 2 3/ 2

1/ 2 3/ 2

( )20%, 10%

a a

a a

L. Nemenov 27 April 2004

Page 21: EUROPEAN ORGANIZATION FOR NUCLEAR RESEARCH

(2001) G. Colangelo, J. Gasser and H. Leutwyler E2 ≈ 0.56 eV

L. Nemenov 27 April 2004

Energy Splitting between Energy Splitting between npnp – – nsns states in ( states in ( ++ - - ) atom ) atom

For n = 2

a0 = 0.220 ± 0.005a2 = 0.0444 ± 0.0010

AnnihilationAnnihilation: A2 → 0 + 0 1/1/τ=Wann ~ (a0 – a2)2

Measurement of τ and E allows one to obtain a0 and a2 separately

0 2~ 2

n ns npvac s s

n n n n

E E EE E E E a a

2

2

0.107 0.45

vac

sE eV from QED calculationsE eV numerical estimated value

from ChPT

Page 22: EUROPEAN ORGANIZATION FOR NUCLEAR RESEARCH

L. Nemenov 27 April 2004

1. Goals of the experiment

2. Theoretical motivation

3. scattering

. K scattering

5. Metastable atoms

6. Present setup and the upgrades

7. Efficiency gain

8. Cost estimate of the setup upgrade and sharing responsibilities

9. Time scale for the experiment


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