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Exciting Hadrons

Exciting Hadrons. Vladimir Pascalutsa European Centre for Theoretical Studies in Nuclear Physics and Related Areas Trento, Italy. Supported by. Presented @ NUPECC Meeting ( ECT*, Trento, Italy, Mar 16, 2007). The quest for understanding the strong interaction ( Q C D ) continues.

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Exciting Hadrons

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  1. Exciting Hadrons Vladimir Pascalutsa European Centre for Theoretical Studies in Nuclear Physics and Related Areas Trento, Italy Supported by Presented @ NUPECC Meeting ( ECT*, Trento, Italy, Mar 16, 2007)

  2. The quest for understanding the strong interaction (QCD) continues The running coupling of QCD: For asymptotic freedom Perturbative QCD (using factorization theorems) For non-perturbative phenomena: color confinement, spontaneous chiral symmetry breaking, generation of the nucleon mass (mass gap), hadron spectrum (mesons, baryons, pentaquarks, glueballs), nucleon structure (FFs, GPDs, spin content) nuclear forces Lattice QCD (severely limited by comp. power) Chiral Effective-Field Theory of QCD (very limited in energy, matching to QCD is a”?”) Models: quark, bag, NJL, chiral-soliton, instanton, AdS/QCD,…

  3. Selected topics • Nucleon mass and the 1st nucleon excitation: lattice QCD vs chiral EFT • Nucleon structure: electromagnetic form factors, generalized parton distributions (GPDs) • Hadron spectrum: statistical properties (“quantum chaos”, “missing resonances”)

  4. N and Δ masses : pion-mass dependence ChEFT Lattice : MILC physical world V.P. & Vanderhaeghen, PLB 636 (2006)

  5. Electromagneticexcitation of the nucleon * 3 e.m. transitions : N M1, E2, C2 Δ non-zero values for REM =E2/M1and RSM =C2/M1: measure of non-spherical distribution of charges

  6. Prediction of the mq dependence of REM=E2/M1 and RSM=C2/M1 Q2 = 0.1 GeV2 Nicosia – MIT group [Alexandrou et al., PRL 94 (2005)] quenched lattice QCD results : mπ= 0.37, 0.45, 0.51 GeV linear extrapolation in mq ~ mπ2 ChEFT prediction [V.P. & Vanderhaeghen, PRL 95 (2005); PRD 73 (2006)] data points : MAMI, MIT-Bates

  7. Rosenbluth vs polarization transfer measurements of GE/GM of proton SLAC Rosenbluth data Jlab/Hall A Polarization data Jones et al. (2000) Gayou et al. (2002) Twomethods, twodifferentresults !

  8. Two-photon exchange calculation : elastic contribution world Rosenbluth data N Polarization Transfer

  9. Nucleon Form Factors: charge/current distribution curves : parameterizations • C. Perdrisatet al.JLab (E01-109) • SHMS in JLab / Hall C at 11 GeV

  10. Generalized Parton Distributions (GPDs) 3-dim quark structure of nucleon Elastic Scattering transverse quark distribution in Coordinate space DIS longitudinal quark distribution in momentum space GPDs Fully-correlated quark distribution in both coordinate and momentum space

  11. Hadron spectrum below 2.5 GeV (PDG 2002) Quark models yield many more states, problem of “Missing Resonances” Search for this states motivated CEBAF (now Jefferson Lab) What about the statistical properties?

  12. Nearest-neighbor spacing distribution of quantum billiard (circular vs hart-shaped) Wave-function (quantum chaos)

  13. Quantum chaos in hadrons V.P., EPJA 16 (2003) C. Fernandez-Ramirez, A. Relano, PRL 98 (2007). Statistical analysis of baryon spectra in various quark models shows no correlation (failure of QMs), “missing resonances” will be missed!

  14. Outlook Hadrons are exciting and will be exciting for years to come, at LHC (CERN) DESY (Hamburg) GSI (Darmstadt) RHIC (Brookheaven) Jefferson Lab (Virginia) MAMI (Mainz) ELSA (Bonn) HIGS (Duke) …

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