Extractionofresonanceparametersfrommesonnstar共振参数提取的介子.pptx

motivation dynamical model of meson production reaction extraction of resonance parameters,(analytic continuation of scattering amplitudes)P33 and P11 from current EBAC model summary Excited baryon resonance in N,*N reactions Structure of resonance:mass,form factor,branching ratioMass,Width,ElectromagneticN-N*form factorsQQC CDDLattice QCDHadron ModelsDynamical Coupled-Channels Analysis EBACReaction DataResonanceResonances:poles of the scattering amplitudescharacterize resonances Pole position mass,width Residue Form factorsForm FactorN*NVPI/GWBW,Pole(AC)BWCMB,Pitt-ANLBW,Pole(AC)Bonn-GatchinaBW,Pole(AC)BW,Pole(AC)GiessenBW,Pole(SP)BWJlab/YerevanBWMAIDBWDMTBW,Pole(SP)JuelichPole(AC)EBACPole(AC)BW,Pole(AC)Extraction of Resonance ParametersBW Breit-Wigner,SP speed-plot,AC Analytic continuation Dynamical modelDynamical Model of meson production reactionCoupled channels model with N three-body unitarityG0(W):MB Green function N*Green function:mass N*vertex :form factor Resonance Pole on unphysical sheetIm WRe WScatteringPhysical SheetBound stateResonanceUn-physical sheetNeed to examine T(W)for complex W,un-physical sheetMulti-sheets for coupled channel Ex:2ch pp uu up pu (Kato 65,.)ResonanceAnalytic continuation of T(W)T(W):obtained by solving Lippman-Schwinger EquationlChoose appropriate path for phys/un-phys sheets(Pearce-Gibson 89)lV(p,p)must be analytic in the region of path deformation=W-planeRe WIm WRe pExample:T for un-physical sheet above thresholdp-planeIm pGreen functions with unstable particleW-planeExample:for un-phys and p-plane(Pearce Afnan 84)Toy model N*couple with only S-wave,non-rela :analytic solutionP33Im WRe WResults from EBAC model(preliminary)Contour plot of|T(W)|MwidthRphiArndt0612119952-47Hoehler93120910050-48Cutkosly80121010053-47Doring0912189047-37P11Pole trajectory123Multi-poles associated with single resonancein coupled channelpreliminarypolesours1357-i 761364-i 105R.A.Arndt et al.1359-i 821388-i 83M.Doring et al.1387-i 147/21387-i 71SummaryPole of T matrix gives resonance information Mass and width from pole position,form factors from residueA method to extract resonance parameters using analytic continuation of the scattering amplitude is developed.Applied for N scattering amplitude of EBAC current model P33,P11 resonance poles are extractedExtracting resonance form factor is in progress.Resonance MassResonance Form Factor(complex number)PDG 08:BW and Pole Example P11BWPoleArnt06 (AC)1485 284i/21354 162i/2Cutkosky80(AC)1440 340i/21375 180i/2Vrana00 (AC)1479 490i/21383 160i/2Hoehler79 (SP)1410 135i/21385 164i/2Manley921462 391i/2Penner021518 668i/2Re(M_pole)m_pi+m_Delta,m_eta+m_N