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Advances in Hadron Spectroscopy Using Unitary Coupled-Channel Models: Insights from EBAC

This article discusses the crucial role of hadron spectroscopy in understanding quark-gluon dynamics within Quantum Chromodynamics (QCD), particularly in the non-perturbative regime. Emphasizing the importance of partial wave analysis (PWA) and unitarity, we examine the discrepancies between unitary and isobar models in data analysis from three-meson production experiments. The paper outlines methodologies for constructing effective models, fitting them to data, and extracting hadron properties, including coupling strengths and resonance characteristics, through a detailed examination of Dalitz plots.

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Advances in Hadron Spectroscopy Using Unitary Coupled-Channel Models: Insights from EBAC

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  1. Meson spectroscopy with unitary coupled-channels model Satoshi Nakamura Excited Baryon Analysis Center (EBAC), JLab Collaborators: H. Kamano (RCNP), T.-S.H. Lee (ANL), T. Sato (Osaka U)

  2. Why hadron spectroscopy ? How JPC , spectrum, decay pattern key information Quark-gluon dynamics (QCD) in non-perturbative regime Partial wave analysis (PWA) Reliable analysis tool needed ! Data

  3. Analysis ofthree-meson productionse.g., E852 (BNL) p pppp pChung et al., PRD 65, 072001 (2001) isobar model * ppsubsystem forms a resonance * 3rd p is a spectator

  4. Question Unitarity ? Coupled-channels ?

  5. 3-body unitarity requires … Z-diagrams

  6. Question to be addressed How 3-body unitarity makes a difference in extracting hadron properties from data ? Method 1. Construct a unitary and an isobar models 2. Fit them to the same Dalitz plot 3. Extract and compareM*properties from them (pole position, coupling strength to decay channels)

  7. ppmodel Coupled-channels eq. for ppscattering (L ,I )  Fitted to data

  8. Coupling strength to decay channels Unitary model Isobar model

  9. Coupling strength to decay channels p2(1670) r pf2p0 W=1 GeV W=1.66 GeV a1(1230) f0 p0r p [degree] Unitary Isobar

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