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

Jan 02, 2016

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

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)

Page 2: Meson spectroscopy with unitary coupled-channels model Satoshi Nakamura Excited Baryon Analysis Center (EBAC), JLab Collaborators : H. Kamano (RCNP), T.-S.H.

Why hadron spectroscopy ?

JPC , spectrum, decay pattern

key information

Quark-gluon dynamics (QCD) in non-perturbative regime

How

Partial wave analysis (PWA)

Data

Reliable analysis tool needed !

Page 3: Meson spectroscopy with unitary coupled-channels model Satoshi Nakamura Excited Baryon Analysis Center (EBAC), JLab Collaborators : H. Kamano (RCNP), T.-S.H.

Analysis of three-meson productions

e.g., E852 (BNL) p p ppp p Chung et al., PRD 65, 072001 (2001)

isobar model * pp subsystem forms a resonance * 3rd p is a spectator

Page 4: Meson spectroscopy with unitary coupled-channels model Satoshi Nakamura Excited Baryon Analysis Center (EBAC), JLab Collaborators : H. Kamano (RCNP), T.-S.H.

Question

Unitarity ?

Coupled-channels ?

Page 5: Meson spectroscopy with unitary coupled-channels model Satoshi Nakamura Excited Baryon Analysis Center (EBAC), JLab Collaborators : H. Kamano (RCNP), T.-S.H.

3-body unitarity requires … Z-diagrams

Page 6: Meson spectroscopy with unitary coupled-channels model Satoshi Nakamura Excited Baryon Analysis Center (EBAC), JLab Collaborators : H. Kamano (RCNP), T.-S.H.

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 compare M* properties from them

(pole position, coupling strength to decay channels)

Page 7: Meson spectroscopy with unitary coupled-channels model Satoshi Nakamura Excited Baryon Analysis Center (EBAC), JLab Collaborators : H. Kamano (RCNP), T.-S.H.
Page 8: Meson spectroscopy with unitary coupled-channels model Satoshi Nakamura Excited Baryon Analysis Center (EBAC), JLab Collaborators : H. Kamano (RCNP), T.-S.H.

pp model

Coupled-channels eq. for pp scattering (L , I )

Fitted to data

Page 9: Meson spectroscopy with unitary coupled-channels model Satoshi Nakamura Excited Baryon Analysis Center (EBAC), JLab Collaborators : H. Kamano (RCNP), T.-S.H.
Page 10: Meson spectroscopy with unitary coupled-channels model Satoshi Nakamura Excited Baryon Analysis Center (EBAC), JLab Collaborators : H. Kamano (RCNP), T.-S.H.
Page 11: Meson spectroscopy with unitary coupled-channels model Satoshi Nakamura Excited Baryon Analysis Center (EBAC), JLab Collaborators : H. Kamano (RCNP), T.-S.H.
Page 12: Meson spectroscopy with unitary coupled-channels model Satoshi Nakamura Excited Baryon Analysis Center (EBAC), JLab Collaborators : H. Kamano (RCNP), T.-S.H.
Page 13: Meson spectroscopy with unitary coupled-channels model Satoshi Nakamura Excited Baryon Analysis Center (EBAC), JLab Collaborators : H. Kamano (RCNP), T.-S.H.
Page 14: Meson spectroscopy with unitary coupled-channels model Satoshi Nakamura Excited Baryon Analysis Center (EBAC), JLab Collaborators : H. Kamano (RCNP), T.-S.H.
Page 15: Meson spectroscopy with unitary coupled-channels model Satoshi Nakamura Excited Baryon Analysis Center (EBAC), JLab Collaborators : H. Kamano (RCNP), T.-S.H.
Page 16: Meson spectroscopy with unitary coupled-channels model Satoshi Nakamura Excited Baryon Analysis Center (EBAC), JLab Collaborators : H. Kamano (RCNP), T.-S.H.
Page 17: Meson spectroscopy with unitary coupled-channels model Satoshi Nakamura Excited Baryon Analysis Center (EBAC), JLab Collaborators : H. Kamano (RCNP), T.-S.H.
Page 18: Meson spectroscopy with unitary coupled-channels model Satoshi Nakamura Excited Baryon Analysis Center (EBAC), JLab Collaborators : H. Kamano (RCNP), T.-S.H.
Page 19: Meson spectroscopy with unitary coupled-channels model Satoshi Nakamura Excited Baryon Analysis Center (EBAC), JLab Collaborators : H. Kamano (RCNP), T.-S.H.
Page 20: Meson spectroscopy with unitary coupled-channels model Satoshi Nakamura Excited Baryon Analysis Center (EBAC), JLab Collaborators : H. Kamano (RCNP), T.-S.H.
Page 21: Meson spectroscopy with unitary coupled-channels model Satoshi Nakamura Excited Baryon Analysis Center (EBAC), JLab Collaborators : H. Kamano (RCNP), T.-S.H.
Page 22: Meson spectroscopy with unitary coupled-channels model Satoshi Nakamura Excited Baryon Analysis Center (EBAC), JLab Collaborators : H. Kamano (RCNP), T.-S.H.

Coupling strength to decay channels

Unitary model

Isobar model

Page 23: Meson spectroscopy with unitary coupled-channels model Satoshi Nakamura Excited Baryon Analysis Center (EBAC), JLab Collaborators : H. Kamano (RCNP), T.-S.H.

a1(1230) f0 p0 r p

Coupling strength to decay channels

W=1 GeV p2(1670) r p f2 p0

Unitary

Isobar

[degree]

W=1.66 GeV

Page 24: Meson spectroscopy with unitary coupled-channels model Satoshi Nakamura Excited Baryon Analysis Center (EBAC), JLab Collaborators : H. Kamano (RCNP), T.-S.H.