excited qcd, stara lesna, 4th february 2010
DESCRIPTION
Generalized Dalitz Plot analysis of the near thresh old pp → ppK + K - reaction in view of the K + K - interaction. Micha ł Silarski Jagiellonian University. Excited QCD, Stara Lesna, 4th February 2010. Outline. Physical motivation - PowerPoint PPT PresentationTRANSCRIPT
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Generalized Dalitz Plot analysisGeneralized Dalitz Plot analysis
of the near threshof the near threshold pp old pp →→ ppKppK++KK-- reaction reaction
in view of thein view of the KK++KK-- interactioninteraction
Excited QCD, Stara Lesna, 4th February 2010
Michał Silarski
Jagiellonian University
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OutlineOutline
Physical motivation Measurements of the pp→ppK+K- reaction with COSY-11 Study of the proton-kaon and kaon-antikaon interactions
differential cross sections at excess energy Q = 10 MeV
and Q = 28 MeV Generalization of the Dalitz Plot Analysis of the K+K- final state interaction
Summary
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Physical motivationPhysical motivation
a0 and f0 mesons as a K+K- molecules
Nature of (1405) – K-p bound state (?)
Mechanism of the pp→ppK+K- reaction
Physics of heavy ion collisions
Physics of neutron stars: kaon condensates
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COoler SYnchrotron COSY
WASA
• Polarised and unpolarised proton and deuteron beams
• momentum range: 600 – 3700 MeV/c• stochastic and electron cooling• meson production up to (1020)
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COSY-11cluster target
drift chambers
scintillator
scintillator
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COSY-11: C. Quentmeier et al., Phys.Lett. B 515 (2001) 276-282
COSY-11: P. Winter et al., Phys. Lett. B 635 (2006) 23-29
COSY-11: M. Wolke, PhD thesis
DISTO: F. Balestra et al.., Phys. Rev. C 63, 024004 (2001)
ANKE: Y.Maeda et al. Phys., Rev. C 77, 01524 (2008)
22
0
2
FSIKppKppFMM
fm 5.10
1
1
)(sin 01)( 0
1
ia
ikakF
qC
SeqF
pK
ppSi
pp
pp
2121
kFkFqFFKpKpppFSI
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σtot = 0.95 ± 0.17 nb
Differential cross sections for the ppDifferential cross sections for the pp→→ppKppK++KK-- reaction at Q = 10 MeVreaction at Q = 10 MeV
ppK
ppKppK
pK
pKpK dMd
dMdR
dMd
dMdR
;
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σtot = 6.5 ± 1.1 nb
ppK
ppKppK
pK
pKpK dMd
dMdR
dMd
dMdR
;
Differential cross sections for the ppDifferential cross sections for the pp→→ppKppK++KK-- reaction at Q = 28 MeVreaction at Q = 28 MeV
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Generalization of the Dalitz PlotGeneralization of the Dalitz Plot
Event representation: interior of a equilateral triangle
222
22
4
1
kjkjjk
kijkji
ppEEM
dMdMs
dEdE
Final state interaction: modification of the homogeneous event distribution
321 EEEs
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Probability of reaction yielding a state with the i-th particle in momentum range dp
i ( in CM):
23
43214
33
32
31
312
16
1fsEp
EEEEpdpdpdpdRd
jj
jj
Assuming that f depends only on invariant masses of the particles one obtains (Nyborg et al. Phys. Rev. 140 922 (1965 ) ):
smmmmMMMMMBB
dMdMdMdMdMBs
fRd
,,,,,,,,,
824
23
22
21
2134
2124
234
214
212
2134
2124
234
214
212
225
Generalization of the Dalitz PlotGeneralization of the Dalitz Plot
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Analysis of the KAnalysis of the K++KK-- final state interaction final state interaction
32
1
22
0
2
2
1
kFkF
kFqFF
FMM
KKKp
KpppFSI
FSIKppKpp
KKKK aik
kF3
3 1
1
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isi
eie
iei
siKK N
NNNNa
ln2,2
fm 335.0 45.0
iaKK
Phys. Rev. C 80, 045202 (2009)
Analysis of the KAnalysis of the K++KK-- final state interaction final state interaction
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SummarySummary
Shape of the excitation function for the near threshold pp→ppK+K- reaction reveal a significant enhancement which may be plausibly assigned to the influence of the pK- or K+K- interaction
Calculations which take into account the proton-proton and proton-kaon interactions underestimate experimental data very close to threshold
Ansatz proposed by ANKE collaboration reproduces the experimental ratios RpK RppK also at significantly lower enegies
The estimated K+K-scattering length amounts to:
fm 335.0 45.0
iaKK
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Thank You for attention
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BACKUPProdukcja kaonów w zderzeniach nukleon-nukleon
KppKpKpp
KppKpKpp
1405
13850
Produkcja stowarzyszona:
KppKpppp
KdKdpn
Produkcja mezonu rozpadającego się na parę K+K- :
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Zderzenia proton-proton blisko progu na produkcję pary K+K-
( COSY-11, ANKE ):
KppKpKpp
KppKfppapp
KppKpp
1385/1405
?
/
lub
0
00
Produkcja kaonów w zderzeniach nukleon-nukleon