Äîêóìåíò âçÿò èç êýøà ïîèñêîâîé ìàøèíû. Àäðåñ îðèãèíàëüíîãî äîêóìåíòà : http://qfthep.sinp.msu.ru/talks2015/1435600133_qfthep15_dirac2b.pdf Äàòà èçìåíåíèÿ: Mon Jun 29 20:48:53 2015 Äàòà èíäåêñèðîâàíèÿ: Sat Apr 9 23:31:50 2016 Êîäèðîâêà: IBM-866

Investigation of

+

-

,

K

+-



and



+

K

-

atoms for

pion-pion and pion-kaon scattering length measurements

F zkov
1

1

on ehlf of the hseg ollortion

Skob eltsyn Institute of Nuclear Physics, Lomonosov Moscow State University

he ss snterntionl orkshop righ inergy hysis nd untum pield heory tune PR " tuly ID PHIS mrD ussi

V. Yazkov (SINP)

+ - and

K

atoms

QFTHEP 2015, June 30

1 / 45


DIRAC collab oration

V. Yazkov (SINP)

+ - and

K

atoms

QFTHEP 2015, June 30

2 / 45


Contents

Low-energy QCD precise predictions Method of + - and K atom observation and investigation DIRAC setup Status of K + - , + K - atom investigation The rst observation of long-lived + - atoms

V. Yazkov (SINP)

+ - and

K

atoms

QFTHEP 2015, June 30

3 / 45


Low-energy QCD precise predictions

V. Yazkov (SINP)

+ - and

K

atoms

QFTHEP 2015, June 30

4 / 45




scattering lengths

sn gh the e'etive vgrnginD whih desries the intertionD is n expnsion in @evenA termsX

Le

=

(

L(2

) )

tree

+

(1-

L(4

) )

loop

+

(2-lo

L(

6)

op

)

+ §§§

golngelo et lF in PHHID using gh @PEloopA8 oy equtionsX

a

a
2

0

= 0.220 ‘ 2.3%

= -0.0444 ‘ 2.3%

a

0

-

a

2

= 0.265 ‘ 1.5%
nd F F

hese results @preisionA depend on the lowEenergy onstnts @vigA vttie guge lultions from PHHT provided vlues for these l3 nd

l

3

l

4

l4

feuse l3 nd l4 re sensitive to the qurk ondensteD preision mesurements of a0 D a2 re wy to study the struture of the gh vuumF
V. Yazkov (SINP)

+ - and

K

atoms

QFTHEP 2015, June 30

5 / 45


ïï Lattice calculations of l3 , l4
2006: l3 , rst lattice calculations

l

4

2012: 10 collaborations: 3 USA, 5 Europe, 2 Japan J. Gasser, H. Leutwyler: Model calculation (1985) ï ïï l3 = 2.6 ‘ 2.5, l3 /l3 1 Lattice calculations in near future will obtain lï /lï 0.1 or lï 0.2 - 0.3 33 3 To check the predicted values of l3 the experimental relative errors of -scattering lengths and their combinations must be at the level (0.2 - 0.3)%

V. Yazkov (SINP)

+ - and

K

atoms

QFTHEP 2015, June 30

6 / 45



I

K

scattering lengths

F gh predits sEwve sttering lengthsX

L( a

2)

D

L(4

)

nd IEloop

1/2 0

= 0.19 ‘ 0.02D -

a

3/2 0

= -0.05 ‘ 0.02

a

1/2 0

a

3 /2 0

= 0.24 ‘ 0.03 -

F fernrdD xF uiserD F weissner E IWWI

a L(
2)

1 /2 0

a

3/2 0

= 0.23 ‘ 0.01

eF oessl E IWWW

D

L(4) D L(

6)

nd PEloop

a
II

1 /2

-

a

3 /2

= 0.267

tF fijnensD F hhonteD F lver E epril PHHR

F oyEteiner equtionsX

a

1 /2 0

-

a

3/2 0

= 0.269 ‘ 0.015
+ - and

F futtiker et lF E PHHR ä

V. Yazkov (SINP)

K

atoms

QFTHEP 2015, June 30

7 / 45




K

scattering lengths

III

F Ewve K sttering hs lso een studied extensively in the frmework of lttie gh eently preditions for

K

sttering hve een otinedX

a

1/2 0

= 0.183 ‘ 0.039, = 1 (a 3
1 /2 0

a

3 /2 0

= -0.0602 ‘ 0.0040

gFfF vng et lFD hysF evF hVT @PHIPA HSRSHV uF ski et lFD hysF evF hVW @PHIRA HSRSHP

a

0

-

-

a

3/2 0

) = 0.0811 ‘ 0.0143

V. Yazkov (SINP)

+ - and

K

atoms

QFTHEP 2015, June 30

8 / 45




K

scattering

What new will be known if K scattering lengths will be measured? The measurement of the s-wave K scattering lengths would test our understanding of the chiral SU (3)L ½ SU (3)R symmetry breaking of QCD (u, d and s quarks), while the measurement of scattering lengths checks only the SU (2)L ½ SU (2)R symmetry breaking (u,d quarks). This is the principal dierence between and K scattering! Experimental data on the K low-energy phases are absent.

V. Yazkov (SINP)

+ - and

K

atoms

QFTHEP 2015, June 30

9 / 45


Pionium lifetime

ionium @

A2

A is hydrogenElike tom onsisting of + nd

-

mesonsX
0
0
:

E

B = -1.86
+ -

keV , r
=

B = 387

fm, p
+

B 0.5

MeV
4 ½ 10-3


The lifetime of



atoms is dominated by the annihilation pro cess into
0



+



1


=

20

2 with 2 0 2
with

2



-



0

1S

,2 0

=

R | a0 - a2 |

R R 1.2%

= (2.9 ‘ 0.1) ½ 10-15

s

qsser et lF E PHHI

a0

and

a

2 are the



S-wave scattering lengths for isospin

I =0

and

I = 2.



= 9%



|a0 -a2 | |a0 -a2 |

= 4.3%

V. Yazkov (SINP)

+ - and

K

atoms

QFTHEP 2015, June 30

10 / 45


Energy splitting measurement

A2 Energy Levels
For Coulomb potential, E depends only on n
J. Schweizer [PL B (2004)]

higher order QED

Notation:
E2 s E2
p

'

vac 2 s 2 p

0.111eV '

str 2 s 2 p

0.47 r 0.01eV '

em 2 s 2 p

0.012eV

'

2 s 2 p

'

vac str em 2 s 2 p

0.59 r 0.01eV
'
str ns np

'

str 2 s 2 p

D 3mS 1 2a0 a2  86

G.V.Efimov et al. Sov.J.Nucl.Phys. (1986)



'

str 2 s 2 p 3

n

8

CONCLUSION: one parameter (2a0+a2) allows to calculate all '
V. Yazkov (SINP)

str ns np

values
11 / 45

+ - and

K

atoms

QFTHEP 2015, June 30


Dep endence of

A2


lifetime on electric eld

E

strength

t

N

A

N A (0) e

W



t

2p

N

A

N A (0) e

W

eff

W

W
eff

[W 1 4W

2p 2

W
2p 2s

2p 2

2

1 120 [

where: [

2

E |


eff

E2 p E2

s



2

J
BLab = 2 Tesla

20 , 40 ,

[ [

0.025 0.05



W W

W

2p

1.3

J

W

2p

eff

2.25

V. Yazkov (SINP)

+ - and

K

atoms

QFTHEP 2015, June 30

12 / 45


Published results on
hseg dt


|

scattering lengths
-

1s (10-

15

s

)


a

0

a

2

|


eferene

vlue stt syst theo tot

vlue stt syst theo tot

PHHI

2.91+0..45+0..19 -0 38-0 49

+0.49 -0.62 +0.28 -0.26

0.264

+0.017+0.022 -0.020-0.009

+0.033 -0.020 +0.0106 -0.0111

v f TIW @PHHSA SH

PHHIEHQ

3.15+0..20+0..20 -0 19-0 18

+ 0.2533-0..0078+0..0072 0 0080-0 0077

v f UHR @PHIIA PR



theoretil unertinty inluded in systemti error
0

xeRV PHHW PHIH

uEdey

a

-

a

2

eferene it gTR @PHHWA SVW it gUH @PHIHA TQS

vlue stt syst theo tot

K

e 4 8K3

K

3

0.2571 ‘ 0.0048 ‘ 0.0029 ‘ 0.0088 0.2639 ‘ 0.0020 ‘ 0.0015
+ - and

V. Yazkov (SINP)

K

atoms

QFTHEP 2015, June 30

13 / 45


K
K Etom @

+-



and



+

K

-

atoms lifetime

A

K A is hydrogenElike tom onsisting of

E

B = -2.9

keV , r

B = 248
=
+

fm, p

K

+

nd

-

mesonsX

B 0.8

MeV
ï 0 K 0

The



K

-atom lifetime (ground state 1S),

1


pro cess into



0

K

0

is dominated by the annihilation

:



+

0

AK
1S
, 0 K 0



-



0

K 0 D A
-

+

K

-

= RK |

a

1 /2

a

3/2

|2 with R 2% R
tF hweizer E PHHR



-



0

From Roy-Steiner equations:

1 a0/2 - a

3/2 0

= 0.269 ‘ 0.015 = (3.7 ‘ 0.4)10-15

s

If



= 20%


+ - and

|a1/2 -a3/2 | |a1/2 -a3/2 |
K
atoms

= 10%
QFTHEP 2015, June 30 14 / 45

V. Yazkov (SINP)


Method of + - and K atom observation and investigation

V. Yazkov (SINP)

+ - and

K

atoms

QFTHEP 2015, June 30

15 / 45


Metho d of and



K

atom observation and investigation

V. Yazkov (SINP)

+ - and

K

atoms

QFTHEP 2015, June 30

16 / 45


Coulomb pairs and atoms

por the hrged pirs from the shortElived soures nd smll reltive momentum there is strong goulom intertion in the (nl stteF his intertion inreses the prodution yield of the free pirs with deresing nd retes tomsF
+ - , + - , + - , + - , + ²- , ²+ -

K

KK K

( + - ), ( + - ), ( + - ), ( + - ), ( + ²- ), (²+ - )

K

KK K

Coulomb pairs

Atoms

here is preise rtio etween the numer of produed goulom pirs @NC A with smll nd the numer of toms @NA A produed simultneously with these goulom pirsX

NA

=

K (Q

0

) § NC (Q

Q0

KQ ), K ((Q00)) 10

-2

n
V. Yazkov (SINP)

A E tomi pirs num er,
+ - and

Pbr

n = NA A
QFTHEP 2015, June 30 17 / 45

K

atoms


Break-up probability

olution of the trnsport equtions provides oneEtoEone dependene of the mesured rekEup proility @Pbr A on pionium lifetime

ell trgets hve the sme thikness in rdition lengths 6.7 § 10-3 X0 F here is n optiml trget mteril for given lifetimeF

V. Yazkov (SINP)

+ - and

K

atoms

QFTHEP 2015, June 30

18 / 45


Break-up probability

olution of the trnsport equtions provides oneEtoEone dependene of the mesured rekEup proility @Pbr A on K tom lifetime for xikel trget with thiknesses 108²m nd 98²m
Pbr 0.5

0.45 0.4 0.35 0.3 0.25 0.2 0.15 0.1 0.05 0 2 4 6 8 10 12 14 16 18 20 , fs

V. Yazkov (SINP)

+ - and

K

atoms

QFTHEP 2015, June 30

19 / 45


Metho d to observe long-lived atoms

H I

l

hey length @mA of A2 with di'erent prinipl quntum numer n nd oritl momentum l for = 16F n=1 n=2 n=3 n=4 n=5 1.39 § 10-3 1.11 § 10-2 3.76 § 10-2 8.91 § 10-2 1.74 § 10- SFT IW 43 84

1

prtion of toms with nonEzero oritl momentum @ n (Be )A on the exit of fe trget @IHH ²mA nd n (Pt ) in the entry of t foil @IH m downstremA for = 16F n=2 n=3 n=4 n=5 2 -3 2.48 ‘ O (10 ) 1.54 ‘ 0.01 0.86 ‘ 0.03 0.56 ‘ 0.06 n (Be ) ½ 10 2 0.52 ‘ O (10-4 ) 1.01 ‘ O (10-3 ) 0.78 ‘ 0.03 0.54 ‘ 0.06 n (Pt ) ½ 10
-2 n2 (Be ) = (7.11 ‘ 0.77) § 10 , n2 (

Pt

) = (4.59 ‘ 0.76) § 10-2 .

V. Yazkov (SINP)

+ - and

K

atoms

QFTHEP 2015, June 30

20 / 45


Metho d to observe long-lived atoms

Be target 103²m

Magne6c field Pt-
foil 2.1²m 100 mm

+
QY = 12.9MeV/c

Coulomb, non-Coulomb & atomic pairs

p

Magne6c B Field =0.25T
X

-
Breakup

Excitation: 1s, 2s ... ð 2p, 3p, 4p ...

+
QY = 2.3MeV/c

p
Be

Long-lived states

Atomic pairs: n

l A

Pt
l N A 0.06 N A

-

l N A 0.03 N

A

V. Yazkov (SINP)

+ - and

K

atoms

QFTHEP 2015, June 30

21 / 45


DIRAC setup

V. Yazkov (SINP)

+ - and

K

atoms

QFTHEP 2015, June 30

22 / 45


Exp erimental setup

I rget sttion with xi foilY P pirst shieldingY Q wiro hrift ghmersY R intillting pier hetetorY S soniztion rodosopeY T eond hieldingY U uum ueY V petrometer wgnetY W uum ghmerY IH hrift ghmersY II ertil rodosopeY IP rorizontl ç ç rodosopeY IQ eerogel gerenkovY IR revy qs gerenkovY IS xitrogen ç gerenkovY IT reshowerY IU wuon hetetor
V. Yazkov (SINP)

+ - and

K

atoms

QFTHEP 2015, June 30

23 / 45


Exp erimental conditions

goordinte preision ime preision

ph X = 60²m t X = 380ps

Y = 60²m t Y = 512ps

W = 120²m t W = 522ps

hg goordinte = 85²m

r ime preision = 100

ps

petrometer eltive resolution on the prtile momentum in vFF reision on Eprojetions QX = QY = 0.5 MeV /c

3 § 10-3 QL = 0.5 MeV /c ( ) QL = 0.9 MeV /c ( K )

Trigger eciency 98%

for pairs with

QL < 28 MeV /c QX < 6 MeV /c QY < 4 MeV /c
QFTHEP 2015, June 30 24 / 45

V. Yazkov (SINP)

+ - and

K

atoms


Status of



K

atom investigation

V. Yazkov (SINP)

+ - and

K

atoms

QFTHEP 2015, June 30

25 / 45




+

K

-

atoms - run 2008-2010

un PHHVEPHIHD sttistis with low nd medium kground @PGQ of ll sttistisAF ointElike prodution for ll prtilesF
200 175 150 125 100 75 50 25 0 0 2 4 6 8 10 12 14

Atomic pairs Coulomb pairs non-Coulomb pairs

180 160 140 120 100 80 60 40 20 0 0 2 4 6

Atomic pairs Coulomb pairs non-Coulomb pairs

8

10

12

14

40 30 20 10 0 -10 -20 0 2 4 6 8

NA=215. ‘25. nA=53. ‘39. PBr=0.25 ‘0.21

60 50 40 30 20 10 0 -10

NA=188. ‘21. nA=82. ‘26. PBr=0.44 ‘0.18

10

12

14 |QL| [MeV/c]

0

2

4

6

8

10

12

14

|

QL | distriution nlysis QT < 4MeV /c F 2 /ndf =
V. Yazkov (SINP)

on | QL | for 44/37
+ - and

for

|

Q

L | distriution nlysis on | QL | nd QT QT < 4MeV /c F 2 /ndf = 130/117
QFTHEP 2015, June 30 26 / 45

|QL| [MeV/c]

K

atoms


K

+-



atoms - run 2008-2010

un PHHVEPHIHD sttistis with low nd medium kground @PGQ of ll sttistisAF ointElike prodution for ll prtilesF
400 350 300 250 200 150 100 50 0 0 2 4 6 8 10 12 14

Atomic pairs Coulomb pairs non-Coulomb pairs

400 350 300 250 200 150 100 50 0 0 2 4 6

Atomic pairs Coulomb pairs non-Coulomb pairs

8

10

12

14

80 60 40 20 0 -20 0 2 4 6

NA=470. ‘43. nA=112. ‘65. PBr=0.24 ‘0.16

80 60 40 20 0 -20

NA=465. ‘37. nA=96. ‘41. PBr=0.207 ‘0.101

8

10

12

14 |QL| [MeV/c]

0

2

4

6

8

10

12

14

|

QL | distriution nlysis QT < 4MeV /c F 2 /ndf =
V. Yazkov (SINP)

on | QL | for 41/37
+ - and

for

|

Q

L | distriution nlysis on | QL | nd QT QT < 4MeV /c F 2 /ndf = 142/117
QFTHEP 2015, June 30 27 / 45

|QL| [MeV/c]

K

atoms


Break-up probability of



K
Pbr

atoms

er PHHV PHHW PHIH ell PHHV PHHW PHIH ell

132 ‘ 169 ‘ 164 ‘ 465 ‘ + 51 ‘ 78 ‘ 60 ‘ 188 ‘

NA K+

K

- 16 24 23 37
-

11 13 12 21

over QT , QL 14 ‘ 19 0.11 ‘ 0.15 33 ‘ 26 0.20 ‘ 0.17 49 ‘ 26 0.30 ‘ 0.19 96 ‘ 41 0.21 ‘ 0.10 over QT , QL 21 ‘ 13 0.41 ‘ 0.33 26 ‘ 16 0.34 ‘ 0.24 35 ‘ 16 0.58 ‘ 0.36 82 ‘ 26 0.44 ‘ 0.18
-

n

A

n

K A

+



-

+ + nA K

= 178 ‘ 49

V. Yazkov (SINP)

+ - and

K

atoms

QFTHEP 2015, June 30

28 / 45


Systematic errors

Systematic errors in

Pbr

common to all data collected from 2008 to 2010

Sources of systematic errors Uncertainty in correction on

syst QL ,QT
0.0039 0.0032

syst QL
0.0071 0.00054

-width

Uncertainty of multiple scattering in the Nickel target Accuracy of SFD detector resp onse simulation Correction of Coulomb correlation function on nite size of pro duction region Uncertainty in a dep endence

0.00075

0.00029

0.000058

0.000058

Pbr ( )

0.0050 0.00030

0.0050

Accuracy of a target thickness measurement

< 0.00030

V. Yazkov (SINP)

+ - and

K

atoms

QFTHEP 2015, June 30

29 / 45


Systematic errors
ystemti errors in Pbr spei( to the dt smples olleted in PHHVD PHHW nd PHIH
Year K +- over

syst

K

Q

syst backgr T , QL
0.0015 0.0025 0.0022 0.0028 0.0044 0.0036 0.0067 0.0028 0.0043 0.0072 0.0048 0.0017

2008 2009 2010 2008 2009 2010 +

0.0028 0.0044 0.0036 +- over 0.0030 0.0053 0.0046 - over 0.0072 0.0048 0.0017 +- over

K

QL



K

QT , Q L

2008 2009 2010


2008 2009 2010

K

QL

0.0093 0.0047 0.0021

V. Yazkov (SINP)

+ - and

K

atoms

QFTHEP 2015, June 30

30 / 45



Pbr 0.4

K

atom lifetime estimation

0.35 0.3 0.25 0.2 0.15 0.1 0.05 0 0 2 4 6 8 ½10 10 , s
-15

enlysis with

QL , Q

TX
+0.3 -0.1

= (2.5+3..0 |stat -1 8

|syst )

fs

= (2.5

+3.0 -1.8

|tot )

fs

- |a0 |M = 0.107+0..093 = 0.11+0..09 -0 035 -0 04

hysFvettF f UQS @PHIRA PVV

enlysis with

Q

LX

= (2.4+5..4 |stat -2 2
V. Yazkov (SINP)

+0.5 -0.1

|syst )
K

fs

= (2.4

+5.5 -2.2

|tot )

fs
31 / 45

+ - and

atoms

QFTHEP 2015, June 30


The rst observation of long-lived

+

-

atoms

V. Yazkov (SINP)

+ - and

K

atoms

QFTHEP 2015, June 30

32 / 45


Inuence of p ermanent magnet on
½10 3000
3

Q

Y

distribution

2500

a)

2000

1500

Distribution of pairs generated in the Be
12.9 MeV/c

e +e

-

1000

target
20

(b efore

p ermanent

500

magnet), Pt foil (after main
-15 -10 -5 0 5 10

0 -20

Q y, MeV/c

15

part of p ermanent magnet eld) and in region upstream (after detector

60000

50000

b)

p ermanent magnet eld).

40000

30000

2.3 MeV/c 12.9 MeV/c

20000

Q
16 18 20

T=

2 QX

+ (QY - 2.3

MeV

/c )

2

10000

0

0

2

4

6

8

10

12

14

Qy, MeV/c
V. Yazkov (SINP)

+ - and

K

atoms

QFTHEP 2015, June 30

33 / 45


Long-lived

+

-

atoms - run 2012

un PHIPD sttistis with low nd medium kgroundF woEdimensionl distriution over | QL |, QT hve een (tted with 2 /ndf = 138/140F rojetions to | QL | nd QT re presentedF
4500 4000 3500 3000 2500 2000 1500 1000 500 0 0 2 4 6 8 10 12 14 7000 6000

Atomic pairs Coulomb pairs non-Coulomb pairs

Atomic pairs Coulomb pairs non-Coulomb pairs

5000 4000 3000 2000 1000 0

0

0.5

1

1.5

2

2.5

3

3.5

4

400 300 200 100 0

nA =436. ‘57.

200 150 100 50 0 -50 -100 -150

nA=429. ‘56.

0

2

4

6

8

10

12

14 |QL| [MeV/c]

0

0.5

1

1.5

2

2.5

3

3.5 4 QT [MeV/c]

Q

T < 2 weGc F
V. Yazkov (SINP)

|

Q

L |< 2 weGc F
QFTHEP 2015, June 30 34 / 45

+ - and

K

atoms


Statistics of atomic pairs from long-lived atoms

QT

cut

(MeV/ ) Fit over 2.0

c

L nA

L nA, tot

Background



2

/n

QL , QT
488 ‘ 64
16790 138/140

436 ‘ 57 152 ‘ 29 349 ‘ 53 386 ‘ 78 442 ‘ 105
(-0.8 ‘ 13.) ½ 103

Fit over 0.5 1.0 1.5 2.0

QL
971 3692 9302 16774 29/27 19/27 22/27 22/27

467 ‘ 88 489 ‘ 75 454 ‘ 91 495 ‘ 117

Analysis with Coulomb pairs generated at Platinum target 2.0 238/140

V. Yazkov (SINP)

+ - and

K

atoms

QFTHEP 2015, June 30

35 / 45


Observation of long-lived atom

Systematic errors of numb er of long-lived atomic pairs

Sources of systematic errors Uncertainty in correction on

syst
-width 4.4 22. 23.

Uncertainty of Platinum foil thickness Total

L nA = 436 ‘ 57(stat .) ‘ 23(syst .) = 436 ‘ 61
Exp ected numb er

653 ‘ 110 (453 ? 845)

V. Yazkov (SINP)

+ - and

K

atoms

QFTHEP 2015, June 30

36 / 45


Increasing of statistic with 450 GeV/
he yield of + - ED
+

c
c

proton b eam

K

-

E nd

K


+ -

E toms

WA
c

into hseg setup eptneF

lab Ep

5.7

24 GeV/

c

4



2
atoms



0

WA N WA W A /W (W A /W )N WA N WA W A /W (W A /W )N WA N WA W A /W (W A /W )N
V. Yazkov (SINP)

1.25 § 10
1 1

The yield of -9

450 GeV/ +-

450 GeV/

450 GeV/

c

1.9 § 10-8

3.5 § 10-
28

8 8

4.5 § 10-8 1.6 § 10-8
0.27 36

5.7 § 10-8 1.3 § 10
1 1

1.4 § 10-7
K- 8.8 § 10-10
2.4 +

15

7.0 § 10-
1.2 atoms

The yield of -11

1.7 § 10-
131

9 9

2.0 § 10-9
154

5.9 § 10-10 3.1 § 10
1 1

6.3 § 10-9
11

67

3.4 § 10-
5.8 atoms

6.9 § 10-
1.2

10

The yield of -11

9.7 § 10
31

K +

-

-10

2.1 § 10-
68

9 9

2.7 § 10-9
87

1.4 § 10-9

6.9 § 10-9
4.9

4.2 § 10-
3.0

9.3 § 10-
0.66

10

+ - and

K

atoms

QFTHEP 2015, June 30

37 / 45


Conclusion

he nlysis of K pirs sttisti with low nd medium kgroundD olleted from PHHV to PHIHD llows to evlute the numer of tomi K pirs @178 ‘ 49A s well s the numer of produed K toms @653 ‘ 42A nd thus the rekup @ionistionA proilityF lue of K tom lifetime hs een exprted to e + = (2.5-3..0 ) fs F st provides mesurement of the Ewve 18 - - isospinEodd K sttering length |a0 | = (0.11+0..09 ) § M 1 F -0 04 enlysis of dt olleted in PHIP with feEt trget llows to mke oservtion of tomi pirs from + - toms in longElived L sttesX nA = 436 ‘ 61F st provides possiility to pln experiments for mesurement of vm shift like e'et in + - systemF

V. Yazkov (SINP)

+ - and

K

atoms

QFTHEP 2015, June 30

38 / 45


Thank you for your attention!

V. Yazkov (SINP)

+ - and

K

atoms

QFTHEP 2015, June 30

39 / 45


Supplementary slides

V. Yazkov (SINP)

+ - and

K

atoms

QFTHEP 2015, June 30

40 / 45


Exp erimental conditions

rimry proton em fem intensity ingle ount of one sr plne pill durtion

24 GeV /c (10.5 ? 12) § 1010 proton/spill (5 ? 6) § 106 particle /spill 450 ms

xi trget urity rget thikness @yerA dition thikness roility of inelsti proton intertion 98 ‘ 1 ²m (2008) 6.7 § 10-3 X0 6.4 § 10-
4

WWFWV7 108 ‘ 1 ²m (2009 - 2010) 7.4 § 10-3 X0 7.1 § 10
-4

V. Yazkov (SINP)

+ - and

K

atoms

QFTHEP 2015, June 30

41 / 45


Exp erimental conditions

eondry prtiles hnnel @reltive to the proton emA engulr divergene in vertil nd horizontl plnes olid ngle hipole mgnet

5.4o

‘1o
1.2 § 10-3 sr Bmax = 1.65 T , BL = 2.2

Tm

plne PHHV PHIH

r I IIP IIQ

ime resolution ps sr I P Q R UIQ UPV UIV UWV WHU WVU WWU IHQU
+ - and

QUW QVP

ph SHV SIU

SIV SPU
42 / 45

V. Yazkov (SINP)

K

atoms

QFTHEP 2015, June 30


Admixtures in distributions of



+

K

-

and


+

-

K

+

pairs


N

+

K

-


100 N

-

K

40 35 30 25 20 40 15 10 5 0 -0.25 0 -0.25 60 80

20

-0.2

-0.15

-0.1

-0.05

0 0.05 T [s]

0.1

0.15

0.2

0.25 x 10

-8

-0.2

-0.15

-0.1

-0.05

0 0.05 T [s]

0.1

0.15

0.2

0.25 x 10

-8

V. Yazkov (SINP)

+ - and

K

atoms

QFTHEP 2015, June 30

43 / 45


Background suppression for

K

+-



N

16000 14000 12000 10000 8000 6000 4000 2000 0 -0.05 0 0.05 QL [MeV/c]

1600

180

a) CHF

1400 1200 1000 800

b) CHF+CHA

160 140 120 100 80

c) CHF+CHA+VH

600 400 200 0 -0.05 0 0.05 QL [MeV/c]

60 40 20 0 -0.05 0 0.05 QL [MeV/c]

V. Yazkov (SINP)

+ - and

K

atoms

QFTHEP 2015, June 30

44 / 45


Background suppression for



+

K

-

60 500

N

a) CHF
400

50 40

b) CHF+VH

300 30 200 20 10 0 -0.05

100

0 -0.05

-0.025

0

0.025 0.05 QL [MeV/c]

-0.025

0

0.025 0.05 QL [MeV/c]

V. Yazkov (SINP)

+ - and

K

atoms

QFTHEP 2015, June 30

45 / 45