Chiral soliton model predictions for pentaquarks

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Chiral soliton model predictions for pentaquarks
Michal Praszalowicz - Jagellonian
University Kraków, Poland

• Rencontres de Moriond 2005

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Do 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
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Experiments that do see Theta
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Experiments that do see Theta
?
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Conclusions

• Still a convincing experiment is needed. Perhaps
  KN...
• More experiments ? production mechanism

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Soliton models are quark models
QCD q, A ? cQM q int.
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Soliton models are quark models
QCD q, A ? cQM q int.
chiral symmetry breaking
chirally inv. manyquark int.
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Soliton models are quark models
QCD q, A ? cQM q int.
chiral symmetry breaking
chirally inv. manyquark int.
soliton configuration no quantum numbers except B
rotation generates flavor and spin
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Soliton models are quark models
QCD q, A ? cQM q int. ? Skyrme p
chiral symmetry breaking
chirally inv. manyquark int.
soliton configuration no quantum numbers except B
rotation generates flavor and spin
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Collective quantiztion proceeds in both
cases identically ? symmetric top
only the coefficients are given by different
expressions There is no kinetic term for 8-th
angular velocity ? conjugated momentum is
constant and produces constraint
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Wave functions and allowed states
how far we can go? ?
B
I3
S
Nc/3
Y
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Conclusions

• Still a convincing experiment is needed. Perhaps
  KN...
• More experiments ? production mechanism
• Spin is 1/2 as in most models
• Parity is unlike simple CQM, most lattice
  simulats.

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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 predicted to be small in comparison
with the naive QM 5 ? 350 150 1900
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Conclusions

• Still a convincing experiment is needed. Perhaps
  KN...
• More experiments ? production mechanism
• Spin is 1/2 as in most models
• Parity is unlike simple CQM, most lattice
  sims.
• Mass is naturally small

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Width in the soliton model
SU(3) relations
Decuplet decay Antidecuplet decay
In small soliton limit
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Width in the soliton model
SU(3) relations
lt 15 MeV
Decuplet decay Antidecuplet decay
In small soliton limit
In reality
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Conclusions

• Still a convincing experiment is needed. Perhaps
  KN...
• More experiments ? production mechanism
• Spin is 1/2 as in most models
• Parity is unlike simple CQM, most lattice
  sims.
• Mass is naturally small
• Width is "naturally" small

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Nc counting for the width
chiral limit
in Nature
?
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Conclusions

• Still a convincing experiment is needed. Perhaps
  KN...
• More experiments ? production mechanism
• Spin is 1/2 as in most models
• Parity is unlike simple CQM, most lattice
  sims.
• Mass is naturally small
• Width is "naturally" small, but Nc counting is
  wrong

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Width in the soliton model- mixing effects
Once G10 is small, even moderate admixtures of
other representations with nonsuppressed
transitions modify the width
For ? only the admixture in the final state
matters
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Width in the soliton model- mixing effects
modification factor
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Conclusions

• Still a convincing experiment is needed. Perhaps
  KN...
• More experiments ? production mechanism
• Spin is 1/2 as in most models
• Parity is unlike simple CQM, most lattice
  sims.
• Mass is naturally small
• Width is "naturally" small, but Nc counting is
  wrong
• Warning SU(3) relations for ?'s will not hold

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Exotic Cascades
NA 49 _at_ CERN
pp at 17.2 GeV
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Conclusions

• Still a convincing experiment is needed. Perhaps
  KN...
• More experiments ? production mechanism
• Spin will be shortly measured
• Measure parity ? important impact on theory
• Spin 3/2 partner of ? is almost sure. Perhaps
  ? ...
• Width should be measured
• Warning SU(3) relations for ?'s will not hold
• Confirmation of ?(1860) is badly needed

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Cryptoexotic states
Are these staes known PDG resonances or are
there new narrow states still to be discovered?
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Magnetic transitions
GRAAL photoproduction of resonances on
neutron and proton
gn?hn
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Magnetic transitions
GRAAL photoproduction of resonances on
neutron and proton
gn?hn
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Magnetic transitions
GRAAL
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Magnetic transitions
GRAAL
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Full Mixing
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Conclusions

• Still a convincing experiment is needed. Perhaps
  KN...
• More experiments ? production mechanism
• Spin will be shortly measured
• Measure parity ? important impact on theory
• Spin 3/2 partner of ? is almost sure. Perhaps
  ? ...
• Width should be measured
• Warning SU(3) relations for ?'s will not hold
• Confirmation of ?(1860) is badly needed
• N masses and widths suffer from mixing
• ? new nucleon-like resonances ?
• 11. Same concerns S like states

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What will happen to this entry in PDG?
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Conclusions

• Still a convincing experiment is needed. Perhaps
  KN...
• More experiments ? production mechanism
• Spin will be shortly measured
• Measure parity ? important impact on theory
• Spin 3/2 partner of ? is almost sure. Perhaps
  ? ...
• Width should be measured
• Warning SU(3) relations for ?'s will not hold
• Confirmation of ?(1860) is badly needed
• N masses and widths suffer from mixing
• ? new nucleon-like resonances ?
• 11. Same concerns S like states
• 12. Soliton models are used successfully to
  describe
• many other baryon properties, not only spectra

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Exotic Cascades in ChQSM
M.Diakonov, V.Petrov, M.Polyakov, Z.Phys. A359
(1997) 305
ChQSM
NA49
27 -plet
M.M.Pavan, I.I.Strakovsky, R.L.Workman,
R.A.Arndt, PiN Newslett. 16 (2002) 110 T.Inoue,
V.E. Lyubovitskij, T.Gutsche, A.Faessler,
arXivhep-ph/0311275
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Soliton models are quark models
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Soliton models are quark models
chiral symmetry breaking
chirally inv. manyquark int.
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Soliton models are quark models
chiral symmetry breaking
chirally inv. manyquark int.
38
Soliton models are quark models
chiral symmetry breaking
chirally inv. manyquark int.
soliton configuration no quantum numbers except B
rotation generates flavor and spin
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Soliton models are quark models
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
lt ?A gt 0 SKYRMION Integrating
quarks one is left with dynamical GB
field Soliton in this model is stabilized by
specific term in Lagrangian
chiral symmetry breaking
chirally inv. manyquark int.
soliton configuration no quantum numbers except B
rotation generates flavor and spin