Chiral soliton model predictions for pentaquarks

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

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 M. Praszałowicz (Kraków)

Experiments that do see Theta+ M. Praszałowicz (Kraków)

Experiments that do see Theta+ + ? M. Praszałowicz (Kraków)

Conclusions • Still a convincing experiment is needed. Perhaps KN... • More experiments  production mechanism M. Praszałowicz (Kraków)

Soliton models are quark models QCD [q, A]  cQM [q + int.] M. Praszałowicz (Kraków)

Soliton models are quark models QCD [q, A]  cQM [q + int.] chiral symmetry breaking chirally inv. manyquark int. M. Praszałowicz (Kraków)

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

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

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: M. Praszałowicz (Kraków)

Wave functions and allowed states how far we can go?  I3 B S =Nc/3 Y M. Praszałowicz (Kraków)

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. M. Praszałowicz (Kraków)

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

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 M. Praszałowicz (Kraków)

Width in the soliton model SU(3) relations Decuplet decay: Antidecuplet decay: In small soliton limit:

Width in the soliton model SU(3) relations < 15 MeV Decuplet decay: Antidecuplet decay: In small soliton limit: In reality: M. Praszałowicz (Kraków)

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 M. Praszałowicz (Kraków)

Nc counting for the width chiral limit: in Nature: ? M. Praszałowicz (Kraków)

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 M. Praszałowicz (Kraków)

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 M. Praszałowicz (Kraków)

Width in the soliton model- mixing effects modification factor M. Praszałowicz (Kraków)

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 M. Praszałowicz (Kraków)

Exotic Cascades p+p at = 17.2 GeV NA 49 @ CERN: M. Praszałowicz (Kraków)

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 M. Praszałowicz (Kraków)

Cryptoexotic states Are these staes known PDG resonances or are there new narrow states still to be discovered? M. Praszałowicz (Kraków)

Magnetic transitions GRAAL photoproduction of resonances on neutron and proton gnhn M. Praszałowicz (Kraków)

Magnetic transitions GRAAL M. Praszałowicz (Kraków)

Full Mixing M. Praszałowicz (Kraków)

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 M. Praszałowicz (Kraków)

What will happen to this entry in PDG? M. Praszałowicz (Kraków)

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 M. Praszałowicz (Kraków)

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,arXiv:hep-ph/0311275 M. Praszałowicz (Kraków)

Soliton models are quark models M. Praszałowicz (Kraków)

Soliton models are quark models chiral symmetry breaking chirally inv. manyquark int. M. Praszałowicz (Kraków)

Soliton models are quark models chiral symmetry breaking chirally inv. manyquark int. soliton configuration no quantum numbers except B rotation generates flavor and spin

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: < A > = 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

Chiral soliton model predictions for pentaquarks