Transcript PPT

N* analysis at
the Excited Baryon Analysis Center of JLab
Hiroyuki Kamano
(EBAC, Jefferson Lab)
CLAS12 2nd European Workshop, March 7-11, Paris, France
Excited Baryon Analysis Center (EBAC)
of Jefferson Lab
http://ebac-theory.jlab.org/
Founded in January 2006
Reaction Data
Objectives and goals:
Through the comprehensive analysis
of world data of pN, gN, N(e,e’) reactions,
Dynamical Coupled-Channels Analysis @ EBAC
 Determine N* spectrum (pole positions)
 meson
Extractproduction
N* form factors
N* coupled-channels
properties
“Dynamical
model of
reactions”
(e.g., N-N* e.m. transition form factors)
A. Matsuyama, T. Sato, T.-S.H. Lee Phys. Rep. 439 (2007) 193
Hadron Models
Lattice QCD
QCD
 Provide reaction mechanism information
necessary for interpreting N* spectrum,
structures and dynamical origins
Dynamical coupled-channels model
For details see Matsuyama, Sato, Lee, Phys. Rep. 439,193 (2007)
 Partial wave (LSJ) amplitude of a  b reaction:
coupled-channels effect
 Reaction channels:
 Transition potentials:
exchange potentials
of ground state
mesons and baryons
bare N* states
Strategy for N* study at EBAC
Stage 1
Construct a reaction model through the comprehensive analysis
of meson production reactions
Requires careful analytic continuation of
amplitudes to complex energy plane
 Suzuki, Sato, Lee PRC79 025205; PRC82 045206
Stage 2
Extract resonance information from the constructed reaction model
 N* spectrum (poles); N*  gN, MB transition form factors (residues)
 Confirm/reject N* with low-star status; Search for new N*
Stage 3
Make a connection to hadron structure calculations; Explore the
structure of the N* states.
 Quark models, Dyson-Schwinger approaches, Holographic QCD,…
EBAC-DCC analysis (2006-2009)
pN, hN, ppN (pD,rN,sN) coupledchannels calculations were performed.
Hadronic part
pNpN
: Used for constructing a hadronic model up to W = 2 GeV.
Julia-Diaz, Lee, Matsuyama, Sato, PRC76 065201 (2007)
pNhN
: Used for constructing a hadronic model up to W = 2 GeV
Durand, Julia-Diaz, Lee, Saghai, Sato, PRC78 025204 (2008)
 p N  p p N : First fully dynamical coupled-channels calculation up to W = 2 GeV.
Kamano, Julia-Diaz, Lee, Matsuyama, Sato, PRC79 025206 (2009)
Electromagnetic part
 g(*) N  p N
: Used for constructing a E.M. 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  p p N : First fully dynamical coupled-channels calculation up to W = 1.5 GeV.
Kamano, Julia-Diaz, Lee, Matsuyama, Sato, PRC80 065203 (2009)
Dynamical coupled-channels effect on
N* poles and form factors
Suzuki, Julia-Diaz, Kamano, Lee, Matsuyama, Sato, PRL104 065203 (2010)
Suzuki, Sato, Lee, PRC82 045206 (2010)
Pole positions and dynamical origin of P11 resonances
pole A: pD unphys. sheet
pole B: pD phys. sheet
Dynamical coupled-channels effect on
N* poles and form factors
Suzuki, Julia-Diaz, Kamano, Lee, Matsuyama, Sato, PRL104 065203 (2010)
Suzuki, Sato, Lee, PRC82 045206 (2010)
Nucleon - 1st D13 e.m. transition form factors
Crucial role of non-trivial multi-channel reaction
mechanisms for interpreting the structures and
dynamical origins of nucleon resonances !
Real part
Imaginary part
EBAC-DCC analysis: 2010 ~
Fully combined analysis of gN , pN  pN , hN , KY reactions !!
2006 ~ 2009
2010 ~
5 channels
7 channels
(pN,hN,pD,rN,sN)
(pN,hN,pD,rN,sN,KL,KS)
 pN  pN
< 2 GeV
< 2.1 GeV
 gN  pN
< 1.6 GeV
< 2 GeV
 pN  hN
< 2 GeV
< 2 GeV
 gN  hN
―
< 2GeV
 pN  KY
―
< 2.1 GeV
 gN  KL
―
< 2.1 GeV
 # of coupled
channels
Pion-nucleon elastic scattering
Angular distribution
Target polarization
1234 MeV
1449 MeV
1678 MeV
1900 MeV
Current model
(fully combined analysis, preliminary)
Previous model (fitted to pN  pN data only)
[PRC76 065201 (2007)]
Single pion photoproduction
Preliminary!!
Angular distribution
1154 MeV
1232 MeV
1137 MeV
1232 MeV
1416MeV
MeV
1462
1519MeV
MeV
1527
1729
1690MeV
MeV
1834
1798MeV
MeV
Photon asymmetry
1313 MeV
MeV
1334
1154 MeV
1137 MeV
1232 MeV
1232 MeV
1313 MeV
1334 MeV
1416MeV
MeV
1462
1527 MeV
1519
1617
1617 MeV
MeV
1834
1798MeV
MeV
1958
1899MeV
MeV
1617 MeV
MeV
1617
1958
1899 MeV
MeV
1690 MeV
1729 MeV
Current model
(fully combined analysis, preliminary)
Previous model (fitted to gN  pN data up to 1.6 GeV)
[PRC77 045205 (2008)]
Eta production reactions
Photon asymmetry
1535 MeV
1549 MeV
1674 MeV
1657 MeV
Preliminary!!
1811 MeV
1787 MeV
1930 MeV
 Analyzed data up to W = 2 GeV.
 p- p  h n data are selected
following Durand et al. PRC78 025204.
1896 MeV
pi N  KY reactions
Preliminary!!
Angular distribution
1732 MeV
1757 MeV
Recoil polarization
1792 MeV
1732 MeV
1792 MeV
1757 MeV
1845 MeV
1985 MeV
2031 MeV
1879 MeV
1966 MeV
2059 MeV
1879 MeV
1845 MeV
1879 MeV
1879 MeV
1985 MeV
1966 MeV
1966 MeV
2031 MeV
2059 MeV
2059 MeV
1966 MeV
2059 MeV
gamma p  K+ Lambda
Preliminary!!
1781 MeV
1883 MeV
2041 MeV
Potential impact of the complete experiments
Sandorfi, Hoblit, Kamano, Lee arXiv:1010.0455
Observables of pseudoscalar photoproduction reactions
Energy-independent multipole analysis
of the existing gp  K+ L data:
 Take real and imaginary parts of
amplitudes as parameters
at each energy point
= Data available for gp  K+L
 Monte Carlo sampling of L = 0 - 3
amplitudes (up to 107 per energy)
+
gradient minimization
Potential impact of the complete experiments
Sandorfi, Hoblit, Kamano, Lee arXiv:1010.0455
Bands of the best 300 multipole solutions
E0+
Real part
To narrow the bands,
Generate mock data with
 0.05
 0.03
 0.10
 0.08
kinematics
 0.18
and errors expected in the CLAS
Difference
between Best
 should increase statistics of the
8 observables
?? the analysis
experiments
and repeat
2
and Largest c
M1+
OR
 Overall phase is fixed by setting E0+ real.
 should measure all the remaining polarization observables ??
Imaginary part
 Wide solution bands with tightly clustered c2
 Solutions are indistinguishable
within the existing data.
Potential impact of the complete experiments
Sandorfi, Hoblit, Kamano, Lee arXiv:1010.0455
W = 1900 MeV (Energy-independent fit to mock data)
c2 / data = 0.6
(best c2 solution)
c2 / data = 1.4
(largest c2
solution in the
best 300
solutions)
[Note: Central values of data are generated with the (Gaussian-smeared) Bonn-Gatchina amplitudes.]
Potential impact of the complete experiments
Sandorfi, Hoblit, Kamano, Lee arXiv:1010.0455
Fit to the existing data of 8 observables
Fit to mock data of all 16 observables
“Complete experiments” at CLAS
A crucial source for determining amplitudes and
establishing N* spectrum !!
Summary and outlook
 Fully combined analysis of pN, gN  pN, hN, KY reactions is underway.
 Re-examine resonance poles
Previous model: Q2 < 1.5 GeV2
 Analyze CLAS ep  epN data with Q2 < ~4 GeV2; extract N-N* e.m. transition f.f.s
 Include pN, gN  ppN, wN, … reactions to the combined analysis.
New direction
Nakamura, arXiv:1102.5753
Kamano, Nakamura, Lee, Sato, in preparation
 Application of the DCC approach to meson physics:
(3-body unitarity effect are fully taken into account)
p
B, D, J/Y...
g
X
Exotic hybrids?
f0, r, ..
Heavy meson decays
p
p
GlueX
Dalitz plot of
p2(2100)  ppp decay
from our model