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Dynamical coupled-channels s tudy of hadron r esonances and strangeness production

Dynamical coupled-channels s tudy of hadron r esonances and strangeness production. Hiroyuki Kamano (RCNP, Osaka U.) in collaboration with B. Julia-Diaz (Barcelona U.), T.-S. H. Lee (Argonne), A. Matsuyama (Shizuoka U.), S. Nakamura ( JLab ), T. Sato (Osaka U./KEK), N. Suzuki (Osaka U.).

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Dynamical coupled-channels s tudy of hadron r esonances and strangeness production

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  1. Dynamical coupled-channels study of hadronresonances and strangeness production Hiroyuki Kamano (RCNP, Osaka U.) in collaboration with B. Julia-Diaz (Barcelona U.), T.-S. H. Lee (Argonne), A. Matsuyama (Shizuoka U.), S. Nakamura (JLab), T. Sato (Osaka U./KEK), N. Suzuki (Osaka U.) Workshop on “Future Prospects of Hadron Physics at J-PARC and Large Scale Computational Physics”, Tokai, Feb. 9-11, 2012

  2. Outline • Results of 5-year project on nucleon resonance • extraction atEBAC@JLab • Theory projects for strangeness production • reactions on the nucleons and nuclei

  3. N* spectroscopy : Physics of broad & overlapped resonances N* : 1440, 1520, 1535, 1650, 1675, 1680, ... D : 1600, 1620, 1700, 1750, 1900, … Δ (1232) • Width: a few hundred MeV. • Resonances are highly overlapped • in energy except D(1232). • Width: ~10 keVto ~10 MeV • Each resonance peak is clearly separated.

  4. Experimental developments Since the late 90s, huge amount of high precision data of meson photo-production reactionson the nucleon target has been reported from electron/photon beam facilities. Total cross sections of meson photoproductions JLab, MAMI, ELSA, GRAAL, LEPS/SPring-8, … Opens a great opportunity to make quantitative study of the N* states !! From E. Pasyuk’stalk at Hall-B/EBAC meeting

  5. Research project at Excited Baryon Analysis Center (EBAC) of Jefferson Lab “Dynamical coupled-channels model of meson production reactions” A. Matsuyama, T. Sato, T.-S.H. Lee Phys. Rep. 439 (2007) 193 • Objectives and goals: • Through the comprehensive analysis • of world dataof pN, gN, N(e,e’) reactions, • Determine N* spectrum (pole masses) • Extract N* form factors (e.g., N-N* e.m. transition form factors) • Provide reaction mechanism information necessary forinterpreting N* spectrum, structures and dynamical origins Reaction Data DynamicalCoupled-Channels Analysis N* properties Hadron Models Lattice QCD QCD

  6. Physical N*s will be a “mixture” of the two pictures: meson cloud core baryon meson Dynamical coupled-channels (DCC) model for meson production reactions For details see Matsuyama, Sato, Lee, Phys. Rep. 439,193 (2007) • Partial wave (LSJ) amplitudes of a  b reaction: • Reaction channels: • Transition Potentials: coupled-channels effect t-channel contact u-channel s-channel • Meson-Baryon Green functions p, r, s, w,.. Can be related with the hadron states of the static hadron structure calculations. (quark models etc.) N N, D Quasi 2-body channels Stable channels p D p r,s Exchange potentials N p N p N D D p D D r, s r, s Z-diagrams p p p p N N Bare N* states N*bare bare N* states Exchange potentials Z-diagrams

  7. DCC analysis @ EBAC (2006-2009) pN, hN, ppN (pD, rN, sN) coupled-channels calculations were performed. Hadronic part • p N  pN : Analyzed to construct a hadronic part of the model up to W = 2 GeV Julia-Diaz, Lee, Matsuyama, Sato, PRC76 065201 (2007) • pN  h N : Analyzed to construct a hadronic part of the model up to W = 2 GeV Durand, Julia-Diaz, Lee, Saghai, Sato, PRC78 025204 (2008) • p N  pp N : First fully dynamical coupled-channels calculation up to W = 2 GeV Kamano, Julia-Diaz, Lee, Matsuyama, Sato, PRC79 025206 (2009) • g(*) N  p N : Analyzed to construct a E.M. part of the model up to W = 1.6 GeV and Q2 = 1.5 GeV2 (photoproduction) Julia-Diaz, Lee, Matsuyama, Sato, Smith, PRC77 045205 (2008) (electroproduction)Julia-Diaz, Kamano, Lee, Matsuyama, Sato, Suzuki, PRC80 025207 (2009) • g N  pp N : First fully dynamical coupled-channels calculation up to W = 1.5 GeV • Kamano, Julia-Diaz, Lee, Matsuyama, Sato, PRC80 065203 (2009) • Extraction of N* pole positions & new interpretation on the dynamical origin of P11 resonances • Suzuki, Julia-Diaz, Kamano, Lee, Matsuyama, Sato, PRL104 065203 (2010) • Stability and model dependence of P11 resonance poles extracted from pi N  pi N data • Kamano, Nakamura, Lee, Sato, PRC81 065207 (2010) • Extraction of gN  N* electromagnetic transition form factors Suzuki, Sato, Lee, PRC79 025205 (2009); PRC82 045206 (2010) Electromagnetic part Extraction of N* parameters

  8. pole A: pD unphys. sheet pole B: pD phys. sheet Dynamical coupled-channels effect on N* spectrum Suzuki, Julia-Diaz, Kamano, Lee, Matsuyama, Sato, PRL104 065203 (2010) Pole positions and dynamical origin of P11 resonances

  9. Dynamical Coupled-Channels analysis(current status) Fully combinedanalysis of gN , N  N , hN , KL, KSreactions !! 2010 ~ 7 channels (pN,hN,pD,rN,sN,KL,KS) < 2.1 GeV < 2 GeV < 2 GeV < 2 GeV < 2.2 GeV < 2.2 GeV 2006 ~ 2009 5 channels (pN,hN,pD,rN,sN) < 2 GeV < 1.6 GeV < 2 GeV ― ― ― • # of coupled channels • p  N • gp N • -p hn • gphp • ppKL, KS • gpKL,KS Kamano, Nakamura, Lee, Sato, in preparation

  10. Partial wave amplitudes of pi N scattering Real part Current model (fully combined analysis, PRELIMINALY) Previous model (fitted to pN  pN dataonly) [PRC76 065201 (2007)] Imaginary part Kamano, Nakamura, Lee, Sato in preparation

  11. KY production reactions Kamano, Nakamura, Lee, Sato in preparation Preliminary!! 1785 MeV 1781 MeV 1732 MeV 1757 MeV 1792 MeV 1845 MeV 1879 MeV 1879 MeV 1985 MeV 1966 MeV 1966 MeV 2031 MeV 2059 MeV 2059 MeV

  12. Spectrum of N* resonances Real parts of N* pole values PRELIMINARY!! Ours PDG 4* PDG 3* L2I 2J Kamano, Nakamura, Lee, Sato in preparation

  13. Width of N* resonances PRELIMINARY!! Note: Some freedom exists on the definition of partial width from the residue of the amplitudes. Kamano, Nakamura, Lee, Sato in preparation

  14. Theory Projects for Strangeness Production Reactions on the Nucleons and Nuclei Participants: Hiroyuki Kamano (RCNP) T.-S. Harry Lee (Argonne Natl. Lab.) Yongseok Oh (Kyungpook U.) Toru Sato (Osaka U. / KEK) 1st discussion meeting: Dec. 4-10 2011 @ Kyungpook U., Korea GOAL Consistent description of production reactions of hyperons and hypernuclei

  15. 1. Baryon spectroscopy of the strangeness sector Extends DCC approach to analyze Y* production reactions and establish L*, S*, and also X* spectroscopy. K K, p, K K K L*, S* L*, S* M X* N, S, X N N B g K K M In photon-induced experiment, one has to analyze four-body production reactions. X* L*, S* N*, D* N (CLAS) B

  16. 2. Determination of YN and YY interactions via pion- and kaon-induced deuteron reactions _ _ p, K K K K p Y Y d d Elemental meson-production amplitudes are provided from our dynamical coupled-channels approach. N N Y p d Y K

  17. 3. Applications to production reactions of hypernuclei _ _ Determined YN, YY interactions p, K K K A Many-Body Theory A A Y = L, S, X LL Properties of A Y,YY L A L K

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  19. Meson cloud effect in gamma N  N* form factors GM(Q2) for g N  D (1232) transition N, N* Full Bare Note: Most of the available static hadron models give GM(Q2) close to “Bare” form factor.

  20. A clue how to connect with static hadron models g p  Roper e.m. transition “Bare” form factor determined from our DCC analysis. “Static” form factor from DSE-model calculation. (C. Roberts et al)

  21. gN D(1232) form factors compared with Lattice QCD data ours

  22. Analysis Database Pion-induced reactions (purely strong reactions) The data have been taken by CLAS and will be published soon !! ~ 28,000 data points to fit Photo- production reactions

  23. Partial wave amplitudes of pi N scattering Real part Current model (fully combined analysis, PRELIMINALY) Previous model (fitted to pN  pN dataonly) [PRC76 065201 (2007)] Imaginary part

  24. gamma p  K+ Lambda, K+ Sigma0 Kamano, Nakamura, Lee, Sato in preparation Preliminary!! 1781 MeV 2041 MeV 1785 MeV 1985 MeV Polarization observables are calculated using the formulae in Sandorfi, Hoblit, Kamano, Lee, J. Phys. G 38, 053001 (2011)

  25. Pion-nucleon elastic scattering Angular distribution Target polarization 1234 MeV 1449 MeV 1678 MeV 1900 MeV Previous model (fitted to pN  pN dataonly) [PRC76 065201 (2007)] Current model (fully combined analysis, preliminary)

  26. Angular distribution Photon asymmetry 1334 MeV 1137 MeV 1232 MeV 1334 MeV 1137 MeV 1232 MeV 1462 MeV 1527 MeV 1617 MeV 1462 MeV 1527 MeV 1617 MeV 1729 MeV 1834 MeV 1958 MeV 1729 MeV 1834 MeV 1958 MeV Single pion photoproduction Kamano, Nakamura, Lee, Sato in preparation Preliminary!! Previous model (fitted to gN  pN data up to 1.6 GeV) [PRC77 045205 (2008)] Current model (fully combined analysis, preliminary)

  27. pi N  pi pi N reaction Need help of hadron beam facilities such as J-PARC !! Kamano, Julia-Diaz, Lee, Matsuyama, Sato, PRC79 025206 (2009) Parameters used in the calculation are from pN  pN analysis. • (# of pN  ppN data) / (# of pN pN data)~ 1200 / 24000 • Above W = 1.5 GeV, • All pN ppN data were measured more than3 decades ago. • Nodifferential cross section data are available for quantitative fits(only the data without error bar exist). s (mb) W (GeV) Full result Data handled with the help of R. Arndt Full result Phase space

  28. Parameters used in the calculation are from pN  pN & gN  pN analyses. Double pion photoproduction Kamano, Julia-Diaz, Lee, Matsuyama, Sato, PRC80 065203 (2009) • Good description near threshold • Reasonable shape of invariant mass distributions • Above 1.5 GeV, the total cross sections of p00 and p+- overestimate the data.

  29. 1535 MeV 1549 MeV 1674 MeV 1657 MeV 1811 MeV 1787 MeV 1930 MeV 1896 MeV Eta production reactions Photon asymmetry Preliminary!! • Analyzed data up to W = 2 GeV. • p- p  h n data are selected following Durand et al. PRC78 025204.

  30. Angular distribution Photon asymmetry 1154 MeV 1232 MeV 1313 MeV 1154 MeV 1232 MeV 1313 MeV 1416 MeV 1519 MeV 1617 MeV 1416 MeV 1519 MeV 1617 MeV 1690 MeV 1798 MeV 1690 MeV 1899 MeV 1798 MeV 1899 MeV Single pion photoproduction Preliminary!! Previous model (fitted to gN  pN data up to 1.6 GeV) [PRC77 045205 (2008)] Current model (fully combined analysis, preliminary)

  31. pi N  KY reactions Angular distribution 1732 MeV 1757 MeV 1792 MeV 1732 MeV 1792 MeV 1757 MeV 1845 MeV 1879 MeV 1879 MeV 1845 MeV 1879 MeV 1879 MeV 1985 MeV 1966 MeV 1966 MeV 1985 MeV 1966 MeV 1966 MeV 2031 MeV 2059 MeV 2059 MeV 2031 MeV 2059 MeV 2059 MeV Kamano, Nakamura, Lee, Sato in preparation Preliminary!! Recoil polarization

  32. Single pion electroproduction (Q2 > 0) Julia-Diaz, Kamano, Lee, Matsuyama, Sato, Suzuki, PRC80 025207 (2009) Fit to the structure function data (~ 20000) from CLAS p (e,e’ p0) p W < 1.6 GeV Q2 < 1.5 (GeV/c)2 is determined at each Q2. g q (q2 = -Q2) N N* N-N* e.m. transition form factor

  33. Single pion electroproduction (Q2 > 0) Julia-Diaz, Kamano, Lee, Matsuyama, Sato, Suzuki, PRC80 025207 (2009) Five-fold differential cross sections at Q2 = 0.4 (GeV/c)2 p (e,e’ p0) p p (e,e’ p+) n

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