Rencontres de Moriond 2005 Chiral soliton model predictions for pentaquarks Rencontres de Moriond 2005 Michał Praszałowicz - Jagellonian University Kraków, Poland

Rencontres de Moriond 2005 July 21, 2004M. Praszałowicz (Kraków)2 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

Rencontres de Moriond 2005 July 21, 2004M. Praszałowicz (Kraków)3 Experiments that do see Theta +

Rencontres de Moriond 2005 July 21, 2004M. Praszałowicz (Kraków)4 Experiments that do see Theta + +?+?

Rencontres de Moriond 2005 July 21, 2004M. Praszałowicz (Kraków)5 Conclusions 1.Still a convincing experiment is needed. Perhaps KN... 2.More experiments  production mechanism

Rencontres de Moriond 2005 July 21, 2004M. Praszałowicz (Kraków)6 Soliton models are quark models QCD [q, A]   QM [q + int.]

Rencontres de Moriond 2005 July 21, 2004M. Praszałowicz (Kraków)7 Soliton models are quark models chiral symmetry breaking chirally inv. manyquark int. QCD [q, A]   QM [q + int.]

Rencontres de Moriond 2005 July 21, 2004 Soliton models are quark models chiral symmetry breaking chirally inv. manyquark int. soliton configuration no quantum numbers except B rotation generates flavor and spin QCD [q, A]   QM [q + int.]

Rencontres de Moriond 2005 July 21, 2004 Soliton models are quark models chiral symmetry breaking chirally inv. manyquark int. soliton configuration no quantum numbers except B rotation generates flavor and spin QCD [q, A]   QM [q + int.]  Skyrme [  ]

Rencontres de Moriond 2005 July 21, 2004M. Praszałowicz (Kraków)10 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:

Rencontres de Moriond 2005 July 21, 2004M. Praszałowicz (Kraków)11 Wave functions and allowed states B S Y I3I3 =N c /3 how far we can go? 

Rencontres de Moriond 2005 July 21, 2004M. Praszałowicz (Kraków)12 Conclusions 1.Still a convincing experiment is needed. Perhaps KN... 2.More experiments  production mechanism 3.Spin is 1/2 as in most models 4.Parity is +; unlike: simple CQM, most lattice simulats.

Rencontres de Moriond 2005 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/N c 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  = 1900

Rencontres de Moriond 2005 July 21, 2004M. Praszałowicz (Kraków)14 Conclusions 1.Still a convincing experiment is needed. Perhaps KN... 2.More experiments  production mechanism 3.Spin is 1/2 as in most models 4.Parity is +; unlike: simple CQM, most lattice sims. 5.Mass is naturally small

Rencontres de Moriond 2005 July 21, Width in the soliton model Decuplet decay: Antidecuplet decay: In small soliton limit: SU(3) relations

Rencontres de Moriond 2005 July 21, 2004M. Praszałowicz (Kraków)16 Width in the soliton model Decuplet decay: Antidecuplet decay: In small soliton limit: In reality: < 15 MeV SU(3) relations

Rencontres de Moriond 2005 July 21, 2004M. Praszałowicz (Kraków)17 Conclusions 1.Still a convincing experiment is needed. Perhaps KN... 2.More experiments  production mechanism 3.Spin is 1/2 as in most models 4.Parity is +; unlike: simple CQM, most lattice sims. 5.Mass is naturally small 6.Width is "naturally" small

Rencontres de Moriond 2005 July 21, 2004M. Praszałowicz (Kraków)18 chiral limit: in Nature: N c counting for the width

Rencontres de Moriond 2005 July 21, 2004M. Praszałowicz (Kraków)19 Conclusions 1.Still a convincing experiment is needed. Perhaps KN... 2.More experiments  production mechanism 3.Spin is 1/2 as in most models 4.Parity is +; unlike: simple CQM, most lattice sims. 5.Mass is naturally small 6.Width is "naturally" small, but N c counting is wrong

Rencontres de Moriond 2005 July 21, 2004M. Praszałowicz (Kraków)20 Width in the soliton model - mixing effects Once G 10 is small, even moderate admixtures of other representations with nonsuppressed transitions modify the width For  only the admixture in the final state matters

Rencontres de Moriond 2005 July 21, 2004M. Praszałowicz (Kraków)21 Width in the soliton model - mixing effects modification factor

Rencontres de Moriond 2005 July 21, 2004M. Praszałowicz (Kraków)22 Conclusions 1.Still a convincing experiment is needed. Perhaps KN... 2.More experiments  production mechanism 3.Spin is 1/2 as in most models 4.Parity is +; unlike: simple CQM, most lattice sims. 5.Mass is naturally small 6.Width is "naturally" small, but N c counting is wrong 7.Warning: SU(3) relations for  's will not hold

Rencontres de Moriond 2005 July 21, 2004M. Praszałowicz (Kraków)23 Exotic Cascades NA CERN: p+p at = 17.2 GeV

Rencontres de Moriond 2005 July 21, 2004M. Praszałowicz (Kraków)24 Conclusions 1.Still a convincing experiment is needed. Perhaps KN... 2.More experiments  production mechanism 3.Spin will be shortly measured 4.Measure parity  important impact on theory 5.Spin 3/2 partner of  + is almost sure. Perhaps  Width should be measured 7.Warning: SU(3) relations for  's will not hold 8.Confirmation of  (1860) is badly needed

Rencontres de Moriond 2005 July 21, 2004M. Praszałowicz (Kraków)25 Cryptoexotic states Are these staes known PDG resonances or are there new narrow states still to be discovered?

Rencontres de Moriond 2005 July 21, 2004M. Praszałowicz (Kraków)26 Magnetic transitions GRAAL photoproduction of resonances on neutron and proton nnnn

Rencontres de Moriond 2005 July 21, 2004M. Praszałowicz (Kraków)27 Magnetic transitions nnnn GRAAL photoproduction of resonances on neutron and proton

Rencontres de Moriond 2005 July 21, 2004M. Praszałowicz (Kraków)28 Magnetic transitions GRAAL

Rencontres de Moriond 2005 July 21, 2004M. Praszałowicz (Kraków)29 Magnetic transitions GRAAL

Rencontres de Moriond 2005 July 21, 2004M. Praszałowicz (Kraków)30 Full Mixing

Rencontres de Moriond 2005 July 21, 2004M. Praszałowicz (Kraków)31 Conclusions 1.Still a convincing experiment is needed. Perhaps KN... 2.More experiments  production mechanism 3.Spin will be shortly measured 4.Measure parity  important impact on theory 5.Spin 3/2 partner of  + is almost sure. Perhaps  Width should be measured 7.Warning: SU(3) relations for  's will not hold 8.Confirmation of  (1860) is badly needed 9.N * masses and widths suffer from mixing  new nucleon-like resonances ? 11. Same concerns  like states

Rencontres de Moriond 2005 July 21, 2004M. Praszałowicz (Kraków)32 What will happen to this entry in PDG?

Rencontres de Moriond 2005 July 21, 2004M. Praszałowicz (Kraków)33 Conclusions 1.Still a convincing experiment is needed. Perhaps KN... 2.More experiments  production mechanism 3.Spin will be shortly measured 4.Measure parity  important impact on theory 5.Spin 3/2 partner of  + is almost sure. Perhaps  Width should be measured 7.Warning: SU(3) relations for  's will not hold 8.Confirmation of  (1860) is badly needed 9.N * masses and widths suffer from mixing  new nucleon-like resonances ? 11. Same concerns  like states 12. Soliton models are used successfully to describe many other baryon properties, not only spectra

Rencontres de Moriond 2005 July 21, 2004M. Praszałowicz (Kraków)34 Exotic Cascades in ChQSM ChQSM NA49 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, arXiv:hep-ph/ M.Diakonov, V.Petrov, M.Polyakov, Z.Phys. A359 (1997) plet

Rencontres de Moriond 2005 July 21, 2004M. Praszałowicz (Kraków)35 Soliton models are quark models

Rencontres de Moriond 2005 July 21, 2004M. Praszałowicz (Kraków)36 Soliton models are quark models chiral symmetry breaking chirally inv. manyquark int.

Rencontres de Moriond 2005 July 21, 2004M. Praszałowicz (Kraków)37 Soliton models are quark models chiral symmetry breaking chirally inv. manyquark int.

Rencontres de Moriond 2005 July 21, 2004 Soliton models are quark models chiral symmetry breaking chirally inv. manyquark int. soliton configuration no quantum numbers except B rotation generates flavor and spin

Rencontres de Moriond 2005 Soliton models are quark models chiral symmetry breaking chirally inv. manyquark int. soliton configuration no 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: = 0 SKYRMION: Integrating quarks one is left with dynamical GB field Soliton in this model is stabilized by specific term in Lagrangian