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Ren
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Chiral soliton model predictions
for pentaquarks
Rencontres de Moriond 2005
Michał Praszałowicz - Jagellonian University
Kraków, Poland
July 21, 2004 M. Praszałowicz (Kraków) 2
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5Do we see Theta+ at all ?
Experiments that do not see +:
• STAR & PHENIX (RHIC) - ?• Opal, Aleph, Delphi (LEP) • BES (Beijing)• CDF, Hyper-CP (Fermilab), E690• BaBar• Phase shifts from old K-scattering exps.
mostly high energy inclusive
July 21, 2004 M. Praszałowicz (Kraków) 3
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5Experiments that do see
Theta+
July 21, 2004 M. Praszałowicz (Kraków) 4
Ren
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5Experiments that do see
Theta+
+?
July 21, 2004 M. Praszałowicz (Kraków) 5
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5Conclusions
1. Still a convincing experiment is needed. Perhaps KN...2. More experiments production mechanism
July 21, 2004 M. Praszałowicz (Kraków) 6
Ren
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5Soliton models are quark models
QCD [q, A]
QM [q + int.]
[ ]dA
July 21, 2004 M. Praszałowicz (Kraków) 7
Ren
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5Soliton models are quark models
chiral symmetry breakingchirally inv. manyquark int.
QCD [q, A]
QM [q + int.]
[ ]dA
July 21, 2004
Ren
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5Soliton models are quark models
chiral symmetry breakingchirally inv. manyquark int.
soliton configurationno quantum numbers except B
rotation generates flavor and spin
QCD [q, A]
QM [q + int.]
[ ]dA
July 21, 2004
Ren
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5Soliton models are quark models
chiral symmetry breakingchirally inv. manyquark int.
soliton configurationno quantum numbers except B
rotation generates flavor and spin
QCD [q, A]
QM [q + int.]
Skyrme []
[ ]dA
[ ]dq
July 21, 2004 M. Praszałowicz (Kraków) 10
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5Collective quantiztion proceeds in both casesidentically symmetric top
only the coefficients aregiven by different expressions
There is no kinetic termfor 8-th angular velocity conjugated momentum is constant and produces constraint:
July 21, 2004 M. Praszałowicz (Kraków) 11
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5Wave functions and allowed states
B S
Y
I3
=Nc/3
how far we can go?
July 21, 2004 M. Praszałowicz (Kraków) 12
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5Conclusions
1. Still a convincing experiment is needed. Perhaps KN...2. More experiments production mechanism3. Spin is 1/2 as in most models4. Parity is +; unlike: simple CQM, most lattice simulats.
Ren
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5 Early predictions:
Biedenharn, Dothan (1984): 10-8 ~ 600 MeV from Skyrme model
MP (1987): M= 1535 MeV from Skyrme model
in model independent approach, second order
Diakonov, Petrov, Polyakov (1997):
QM - model independent approach, 1/Nc corrections M= 1530 MeV
In soliton models quark-antiquark excitation is added as a chiral excitation, therefore the masses are predictedto be small in comparison with the naive QM: 5 350 + 150 = 1900
July 21, 2004 M. Praszałowicz (Kraków) 14
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5Conclusions
1. Still a convincing experiment is needed. Perhaps KN...2. More experiments production mechanism3. Spin is 1/2 as in most models4. Parity is +; unlike: simple CQM, most lattice sims.5. Mass is naturally small
July 21, 2004 15
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5Width in the soliton model
Decuplet decay:
Antidecuplet decay:
In small soliton limit:
SU(3)relations
July 21, 2004 M. Praszałowicz (Kraków) 16
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5Width in the soliton model
Decuplet decay:
Antidecuplet decay:
In small soliton limit:
In reality:
< 15 MeV
SU(3)relations
July 21, 2004 M. Praszałowicz (Kraków) 17
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5Conclusions
1. Still a convincing experiment is needed. Perhaps KN...2. More experiments production mechanism3. Spin is 1/2 as in most models4. Parity is +; unlike: simple CQM, most lattice sims.5. Mass is naturally small6. Width is "naturally" small
July 21, 2004 M. Praszałowicz (Kraków) 18
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chiral limit:
in Nature:
Nc counting for the width
July 21, 2004 M. Praszałowicz (Kraków) 19
Ren
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5Conclusions
1. Still a convincing experiment is needed. Perhaps KN...2. More experiments production mechanism3. Spin is 1/2 as in most models4. Parity is +; unlike: simple CQM, most lattice sims.5. Mass is naturally small6. Width is "naturally" small, but Nc counting is wrong
July 21, 2004 M. Praszałowicz (Kraków) 20
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5Width in the soliton model
- mixing effects
Once G10 is small, even moderate admixtures of otherrepresentations with nonsuppressed transitions modify the width
For only the admixture in the final state matters
July 21, 2004 M. Praszałowicz (Kraków) 21
Ren
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5Width in the soliton model
- mixing effects
modificationfactor
July 21, 2004 M. Praszałowicz (Kraków) 22
Ren
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5Conclusions
1. Still a convincing experiment is needed. Perhaps KN...2. More experiments production mechanism3. Spin is 1/2 as in most models4. Parity is +; unlike: simple CQM, most lattice sims.5. Mass is naturally small6. Width is "naturally" small, but Nc counting is wrong7. Warning: SU(3) relations for 's will not hold
July 21, 2004 M. Praszałowicz (Kraków) 23
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5Exotic Cascades
NA 49 @ CERN: p+p at = 17.2 GeV s
July 21, 2004 M. Praszałowicz (Kraków) 24
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5Conclusions
1. Still a convincing experiment is needed. Perhaps KN...2. More experiments production mechanism3. Spin will be shortly measured4. Measure parity important impact on theory5. Spin 3/2 partner of + is almost sure. Perhaps ++ ... 6. Width should be measured7. Warning: SU(3) relations for 's will not hold8. Confirmation of (1860) is badly needed
July 21, 2004 M. Praszałowicz (Kraków) 25
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5Cryptoexotic states
Are these staesknown PDG resonances
or are there newnarrow states stillto be discovered?
July 21, 2004 M. Praszałowicz (Kraków) 26
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5Magnetic transitions
GRAALphotoproductionof resonanceson neutronand proton
nn
July 21, 2004 M. Praszałowicz (Kraków) 27
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5Magnetic transitions
nn GRAALphotoproductionof resonanceson neutronand proton
July 21, 2004 M. Praszałowicz (Kraków) 28
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5Magnetic transitions
GRAAL
July 21, 2004 M. Praszałowicz (Kraków) 29
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5Magnetic transitions
GRAAL
July 21, 2004 M. Praszałowicz (Kraków) 30
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5Full Mixing
July 21, 2004 M. Praszałowicz (Kraków) 31
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5Conclusions
1. Still a convincing experiment is needed. Perhaps KN...2. More experiments production mechanism3. Spin will be shortly measured4. Measure parity important impact on theory5. Spin 3/2 partner of + is almost sure. Perhaps ++ ... 6. Width should be measured7. Warning: SU(3) relations for 's will not hold8. Confirmation of (1860) is badly needed9. N* masses and widths suffer from mixing
new nucleon-like resonances ?11. Same concerns like states
July 21, 2004 M. Praszałowicz (Kraków) 32
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Wh
at
will
hap
pen
to t
his
en
try
in P
DG
?
July 21, 2004 M. Praszałowicz (Kraków) 33
Ren
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5Conclusions
1. Still a convincing experiment is needed. Perhaps KN...2. More experiments production mechanism3. Spin will be shortly measured4. Measure parity important impact on theory5. Spin 3/2 partner of + is almost sure. Perhaps ++ ... 6. Width should be measured7. Warning: SU(3) relations for 's will not hold8. Confirmation of (1860) is badly needed9. N* masses and widths suffer from mixing
new nucleon-like resonances ?11. Same concerns like states12. Soliton models are used successfully to describe
many other baryon properties, not only spectra
July 21, 2004 M. Praszałowicz (Kraków) 34
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5Exotic Cascades in ChQSM
ChQSM
NA49
M.M.Pavan, I.I.Strakovsky, R.L.Workman, R.A.Arndt, PiN Newslett. 16 (2002) 110T.Inoue, V.E. Lyubovitskij, T.Gutsche, A.Faessler, arXiv:hep-ph/0311275
M.Diakonov, V.Petrov, M.Polyakov, Z.Phys. A359 (1997) 305
27 -plet
July 21, 2004 M. Praszałowicz (Kraków) 35
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5Soliton models are quark models
July 21, 2004 M. Praszałowicz (Kraków) 36
Ren
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5Soliton models are quark models
chiral symmetry breakingchirally inv. manyquark int.
July 21, 2004 M. Praszałowicz (Kraków) 37
Ren
con
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5Soliton models are quark models
chiral symmetry breakingchirally inv. manyquark int.
July 21, 2004
Ren
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de M
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on
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5Soliton models are quark models
chiral symmetry breakingchirally inv. manyquark int.
soliton configurationno quantum numbers except B
rotation generates flavor and spin
Ren
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tres
de M
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on
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5Soliton models are quark models
chiral symmetry breakingchirally inv. manyquark int.
soliton configurationno quantum numbers except B
rotation generates flavor and spin
is invariant, because one can absorb chiral rotation into the redefined pseudoscalar meson fields A
Note that = f (q, q) quarks do interact
Chiral symmetry is spontaneously broken: < A > = 0
SKYRMION: Integrating quarks one is left with dynamical GB field
Soliton in this model is stabilized by specific term in Lagrangian
