EBAC-DCC analysis of world data on p N, g N, and N(e,e’) reactions
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Transcript of EBAC-DCC analysis of world data on p N, g N, and N(e,e’) reactions
EBAC-DCC analysis of world data on EBAC-DCC analysis of world data on
N, N, N, and N(e,e’) reactionsN, and N(e,e’) reactions
Hiroyuki KamanoHiroyuki Kamano
Osaka City University Osaka City University
(Excited Baryon Analysis Center, Jefferson Lab)(Excited Baryon Analysis Center, Jefferson Lab)
NSTAR2011
( Presented by T.-S. H. Lee)
Outline
1. Strategy for N* study at EBAC
2. EBAC-DCC analysis of N and N reactions (2006 - 2009)
3. EBAC-DCC analysis of N and N reactions (2010 - )
4. Summary
Highlights of the fits to data
Extracted N* spectrum (poles)
N-N* transition form factors (residues)
Strategy for N* study at EBACStrategy for N* study at EBAC
Objectives :
Perform a comprehensive analysis of world data of N, N, N(e,e’) reactions,
Determine N* spectrum (pole positions)
Extract N-N* form factors (residues)
Identify reaction mechanisms for interpreting the properties and dynamical origins of N*
Excited Baryon Analysis Center (EBAC) of Jefferson Lab
N* properties
QQCCDD
Lattice QCDHadron Models
Dynamical Coupled-Channels Analysis @ EBAC
Reaction Data
http://ebac-theory.jlab.org/Founded in January 2006
A. Matsuyama, T. Sato, T.-S.H. Lee Phys. Rep. 439 (2007) 193
Dynamical coupled-channels model of meson production reactionsDynamical coupled-channels model of meson production reactions
Singular!
a
a
Dynamical coupled-channels model of EBAC
Meson production dataMeson production dataN* spectrum, structure, … N* spectrum, structure, …
Reaction mechanismsReaction mechanisms
Partial wave (LSJ) amplitude of a b reaction:
Reaction channels:
Transition potentials:
coupled-channels effect
Dynamical coupled-channels model of EBAC
Meson-exchange potentials(Derived from Lagrangians)Meson-exchange potentials(Derived from Lagrangians) bare N* statesbare N* states
For details see Matsuyama, Sato, Lee, Phys. Rep. 439,193 (2007)
Partial wave (LSJ) amplitude of a b reaction:
Reaction channels:
Transition potentials:
coupled-channels effect
Dynamical coupled-channels model of EBAC
exchange potentialsof ground state
mesons and baryons
exchange potentialsof ground state
mesons and baryonsbare N* statesbare N* states
For details see Matsuyama, Sato, Lee, Phys. Rep. 439,193 (2007)
corecore
meson cloudmeson cloud
mesonmeson
baryonbaryon
Physical N*s will be a “mixture” of the two pictures:
Strategy for N* study at EBAC
Stage 3Stage 3
Interpret the extracted resonance information in terms of hadron structure calculations .
Quark models, Dyson-Schwinger approaches, LQCD,…
Stage 1Stage 1
Perform comprehensive analysis of meson production reactions
Stage 2Stage 2
N* spectrum (poles); N* N, MB transition form factors (residues)
Extract resonance information from the determined partial-wave amplitudes
Develop analytic continuation of amplitudes to complex energy plane Suzuki, Sato, Lee PRC79 025205; PRC82 045206
EBAC-DCC analysis of N and N reactions:
2006-2009
EBAC-DCC analysis of N and N reactions:
2006-2009
EBAC-DCC analysis (2006-2009)
N N : Used for constructing a hadronic model up to W = 2 GeV.Julia-Diaz, Lee, Matsuyama, Sato, PRC76 065201 (2007)
N N : Used for constructing a hadronic model up to W = 2 GeVDurand, Julia-Diaz, Lee, Saghai, Sato, PRC78 025204 (2008)
N N : First full dynamical coupled-channels calculation up to W = 2 GeV.Kamano, Julia-Diaz, Lee, Matsuyama, Sato, PRC79 025206 (2009)
N 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)
N N : First full dynamical coupled-channels calculation up to W = 1.5 GeV. Kamano, Julia-Diaz, Lee, Matsuyama, Sato, PRC80 065203 (2009)
Hadronic partHadronic part
Electromagnetic partElectromagnetic part
N, N, N (,N,N) coupled-channels calculations were performed.
N, N, N (,N,N) coupled-channels calculations were performed.
pi N amplitudes (2006-2009)Julia-Diaz, Lee, Matsuyama, Sato, PRC76 065201 (2007)
Isospin 1/2 Imaginary TIsospin 1/2 Imaginary T
Single pion photoproduction (Q2 = 0)Julia-Diaz, Lee, Matsuyama, Sato, Smith, PRC77 045205 (2008)
Fit up to
W = 1.6 GeV.
Only
is varied.
Single pion electroproduction (Q2 > 0)
Fit to the structure function data (~ 20000) from CLASFit to the structure function data (~ 20000) from CLAS
Julia-Diaz, Kamano, Lee, Matsuyama, Sato, Suzuki, PRC80 025207 (2009)
p (e,e’ 0) pp (e,e’ 0) p
W < 1.6 GeV
Q2 < 1.5 (GeV/c)2
is determined
at each Q2.
Single pion electroproduction (Q2 > 0)Julia-Diaz, Kamano, Lee, Matsuyama, Sato, Suzuki, PRC80 025207 (2009)
p (e,e’ 0) pp (e,e’ 0) p
p (e,e’ +) np (e,e’ +) n
Five-fold differential cross sections at Q2 = 0.4 (GeV/c)2Five-fold differential cross sections at Q2 = 0.4 (GeV/c)2
pi N pi pi N reaction
Parameters used in the calculation are from N N analysis.
Kamano, Julia-Diaz, Lee, Matsuyama, Sato, PRC79 025206 (2009)
Full result
C.C. effect off
Double pion photoproductionKamano, Julia-Diaz, Lee, Matsuyama, Sato, PRC80 065203 (2009)
Parameters used in the calculation are from N N & N N analyses.
Good description near threshold
Reasonable shape of invariant mass distributions
Above 1.5 GeV, the total cross sections of p00 and p+-
overestimate the data.
Extraction of N* information
Definitions of
N* masses (spectrum) Pole positions of the amplitudes
N* MB, N decay vertices Residues1/2 of the pole
N* pole position ( Im(E0) < 0 )
N* pole position ( Im(E0) < 0 )
N* b decay vertex
N* b decay vertexConsistent with the resonance theory based on Gamow vectors
G. Gamow (1928), R. E. Peierls (1959), …A brief introduction of Gamow vectors: de la Madrid et al, quant-ph/0201091
(complex) energy eigenvalues = pole values
transition matrix elements = (residue)1/2 of the poles
N* poles from EBAC-DCC analysisSuzuki, Julia-Diaz, Kamano, Lee, Matsuyama, Sato, PRL104 042302 (2010)
L2I 2J Two resonance poles in the Roper resonance region !!
Two resonance poles in the Roper resonance region !!
Dynamical coupled-channels effect on N* poles and form factors
Pole positions and dynamical origin of P11 resonancesPole positions and dynamical origin of P11 resonances
Suzuki, Julia-Diaz, Kamano, Lee, Matsuyama, Sato, PRL104 065203 (2010)Suzuki, Sato, Lee, PRC82 045206 (2010)
pole A: unphys. sheetpole B: 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 factorsNucleon - 1st D13 e.m. transition form factors
Real part Imaginary part
Crucial role of non-trivial multi-channel reaction
mechanisms for interpreting the structure and
dynamical origin of nucleon resonances !
EBAC-DCC analysis of N and N reactions: 2010
-
EBAC-DCC analysis of N and N reactions: 2010
-
EBAC-DCC analysis: 2010 ~
N N
N N
N N
N N
N KY
N K
2006 ~ 2009
5 channels (N,N,,N,N)
< 2 GeV
< 1.6 GeV
< 2 GeV
―
―
―
2010 ~
7 channels (N,N,,N,N,K,K)
< 2.1 GeV
< 2 GeV
< 2 GeV
< 2GeV
< 2.1 GeV
< 2.1 GeV
# of coupled channels
Fully combined analysis of N , N N , N , KY reactions !!
Pion-nucleon elastic scattering
Current model
(full combined analysis, PRELIMINARYPRELIMINARY)
Previous model (fitted to N N data only)[PRC76 065201 (2007)]
Target polarizationTarget polarization
1234 MeV1234 MeV
1449 MeV1449 MeV
1678 MeV1678 MeV
1900 MeV1900 MeV
Angular distribution Angular distribution
Single pion photoproduction
Current model (full combined analysis
Previous model (fitted to N N data up to 1.6 GeVup to 1.6 GeV) [PRC77 045205 (2008)]
Angular distribution Angular distribution Photon asymmetry Photon asymmetry
1137 MeV 1232 MeV
1334 MeV
1462 MeV 1527 MeV 1617 MeV
1729 MeV 1834 MeV 1958 MeV
1137 MeV 1232 MeV 1334 MeV
1462 MeV 1527 MeV 1617 MeV
1729 MeV 1834 MeV 1958 MeV
1154 MeV 1232 MeV 1313 MeV
1416 MeV 1519 MeV 1617 MeV
1690 MeV 1798 MeV 1899 MeV
1154 MeV 1232 MeV 1313 MeV
1416 MeV 1519 MeV 1617 MeV
1690 MeV
1798 MeV 1899 MeV
1535 MeV
1674 MeV
1811 MeV
1930 MeV
1549 MeV
1657 MeV
1787 MeV
1896 MeV
Eta production reactions
Analyzed data up to W = 2 GeV. p n data are selected following Durand et al. PRC78 025204.
Photon asymmetry
pi N KY reactions
Angular distribution Angular distribution Recoil polarizationRecoil polarization
1732 MeV
1845 MeV
1985 MeV
2031 MeV
1757 MeV
1879 MeV
1966 MeV
2059 MeV
1792 MeV
1879 MeV
1966 MeV
2059 MeV
1732 MeV
1845 MeV
1985 MeV
2031 MeV
1757 MeV
1879 MeV
1966 MeV
2059 MeV
1792 MeV
1879 MeV
1966 MeV
2059 MeV
gamma p K+ LambdaFormulae for calculating polarization observables
Sandorfi, Hoblit, Kamano, Lee JPG 38, 053001 (2011)
(Topical Review)
1781 MeV 1883 MeV 2041 MeV
“(Over-) complete experiment” is ongoing at CLAS@JLab !
Expected to be a crucial source for establishing N* spectrum !!
Measure ALL 16 observables !!(d + 15 polarization asymmetries)Measure ALL 16 observables !!(d + 15 polarization asymmetries)
Summary Summary
Summary and outlook
Extraction of N* from EBAC-DCC analysis 2006-2009:
The Roper resonance is associated with two resonance poles.
The two Roper poles and N*(1710) pole are generated from a single
bare state.
N-N* e.m. transition form factors are complex.
Multi-channel reaction mechanisms plays a crucialrole for interpreting the N* spectrum and form factors !!
Summary and outlook
Extraction of N* from EBAC-DCC analysis 2006-2009:
Fully combined analysis of N, N N, N, KY reactions is underway.
Re-examine resonance poles
Analyze CLAS ep eN data with Q2 < ~ 4 GeV2;
Extract N-N* electromagnetic transition form factors at high Q2
Include N, N N, … reactions to the combined analysis.
Previous model: Q2 < 1.5 GeV2
The Roper resonance is associated with two resonance poles.
The two Roper poles and N*(1710) pole are generated from a single
bare state.
N-N* e.m. transition form factors are complex.
Summary and outlook
Projected progressProjected progress
Spring of 2012
Complete the combined analysis to reach DOE milestone HP3:
““Complete the Complete the combinedcombined analysis of available single pion, eta, kaon analysis of available single pion, eta, kaon
photo-production data for nucleon resonances and incorporate photo-production data for nucleon resonances and incorporate
analysis of two-pion final states into the analysis of two-pion final states into the coupled-channelscoupled-channels analysis analysis
of resonances”of resonances”
EBAC Collaborations
J. Durand
B. Julia-Diaz
H. Kamano (Jlab)
T.-S. H. Lee (1/4 EFT)
A. Matsuyama
S. Nakamura (JLab)
B. Saghai
T. Sato
C. Smith
N. Suzuki
Summary and outlook
Works need to be accomplishedWorks need to be accomplished
Summer of 2013
Complete the extraction of N-N* form factors to reach DOE
milestone HP7:
End of 2013
Make the EBAC-DCC code available for future analysis of
“complete experiments” and N* experiments with 12 GeV upgrade
““Measure the Measure the electromagnetic excitationselectromagnetic excitations of low-lying baryon of low-lying baryon
states (< 2GeV) and their states (< 2GeV) and their transition form factorstransition form factors over the range over the range
QQ22 = 0.1 – 7 GeV = 0.1 – 7 GeV22 and measure the electro- and photo-production and measure the electro- and photo-production
of final states with of final states with oneone and and twotwo pseudoscalar mesons” pseudoscalar mesons”
back upback up
Summary and outlook
New directionNew direction
Application of the DCC approach to meson physics:
(3-body unitarity effect are fully taken into account)
f0, , ..
B, D, J/...
Heavy meson decays
p p
X
Exotic hybrids?
GlueX
Nakamura, arXiv:1102.5753 Kamano, Nakamura, Lee, Sato, in preparation
Summary and outlook
New directionNew direction
Application of the DCC approach to meson physics:
(3-body unitarity effect are fully taken into account)
Nakamura, arXiv:1102.5753 Kamano, Nakamura, Lee, Sato, in preparation
Dalitz plot of a1(1260) decay from our modelDalitz plot of a1(1260) decay from our model
Isobar model
Unitary model(with full 3-body unitarity)
Coupled-channels effect in various reactions
Full
c.c. effect of N(,N,N) & N off
Full
Full
c.c effect off
c.c. effect of N(,N,N) & N off
Pion photoproductionsPion photoproductions
Pion electroproductionsPion electroproductions
Double pion productionsDouble pion productions
Dynamical coupled-channels model of EBACFor details see Matsuyama, Sato, Lee, Phys. Rep. 439,193 (2007)
pi N pi pi N reaction
Parameters used in the calculation are from N N analysis.
Kamano, Julia-Diaz, Lee, Matsuyama, Sato, PRC79 025206 (2009)
Full result
Phase spaceFull result
W (GeV)
(m
b)
Improvements of the DCC model
The resulting amplitudes are now completely unitary in
channel space !!
Processes with 3-body N unitarity cutProcesses with 3-body N unitarity cut
Re E (MeV)
Im E
(M
eV) threshold
C:1820–248i
B:1364–105i
N threshold
N thresholdA:1357–76i
Bare state
Dynamical origin of P11 resonancesSuzuki, Julia-Diaz, Kamano, Lee, Matsuyama, Sato, PRL104 042302 (2010)
(N, N, ) = (u, u, u)
(N, N, ) = (p, u, - )(N, N, ) = (p, u, p)
(N, N, ) = (p, u, u)
Pole trajectoryof N* propagatorPole trajectoryof N* propagator
(N,N) = (u,p)for three P11 poles
self-energy:
Residues of resonance poles in pi N amplitude
EBAC(06-09) Arndt06 Doring09 Hoeler Cutkosky
PDG notation R (MeV), (deg.)
N*(1535) S11 44, -42 16, -16 31, -3 120, 15
N*(1650) S11 18, -93 14, -69 54, -44 39, -27 60, -75
N*(1440) P11 37, -110 38, -98 48, -64 40, -- 52, -100
N*(1440) P11 64, -99 86, -46
N*(1710) P11 20, -168 9, -167
N*(1720) P13 25, -94 14, -82 15, -- 8, -160
N*(1520) D13 38, 7 38, -5 32, -18 32, -8 35, -12
N*(1675) D15 31, -24 27, -21 (not analyzed) 23, -22 31, -30
N*(1680) F15 40, -11 42, -4 (not analyzed) 44, -17 34, -25
(1232) P33 52, -46 52, -47 47, -37 50, -48 53, -47
*(1620) S31 21, -134 15, -92 12, -108 19, -95 15, -110
*(1910) P31 45, 172 12, -153 38, -- 13, -20
*(1700) D33 12, -59 18, -40 16, -38 10, -- 13, -20
*(1905) F35 5, -79 15, -30 (not analyzed) 25, -- 25, -50
*(1950) F37 41, -33 53, -31 (not analyzed) 47, -32 50, -33
EBAC-DCC Ahrens04/02 Arndt04/02 Dugger07 Blanpied01
P33(1211) A3/2 -269 + 12i -258 +/- 3 -243 +/- 1 -266.9+/-1.6+/-7.8
A1/2 -132 + 38i -137 +/- 5 -129 +/- 1 -135+/-1.3+/-3.7
D13(1521) A3/2 125 + 25i 147 +/- 10 165 +/- 5 143 +/- 2
A1/2 -42 + 8i -38 +/- 3 -20 +/- 7 -28 +/- 2
P11(1357) A1/2 -12 + 21i -63 +/- 5 -51 +/- 2
(1364) A1/2 -14 + 22i
S11(1540) A1/2 -8 + 43i 60 +/- 15 91 +/- 2
(1642) A1/2 29 – 17i 69 +/- 5 22 +/- 7
D15(1654) A3/2 44 – 9i 10 +/- 7 21 +/- 1
A1/2 58 – 0.5i 15 +/-10 18 +/- 2
F15(1674) A3/2 -95 - 3i 145 +/- 5 134 +/- 2
A1/2 -67 + 11i -10 +/- 4 -17 +/- 1
S31(1563) A1/2 137 – 70i 35 +/- 20 50 +/- 2
D33(1604) A3/2 -45+9i 97 +/- 20 105 +/- 3
A1/2 -1 -17i 90 +/- 25 125 +/- 3
Helicity amplitudes of N-N* e.m. transition (Q2 = 0)
Q2 dependence of the form factors: 1/3
real part
imaginary part
GM
/ (3
GD)
Suzuki, Sato, Lee, arXiv:0910.1742
Julia-Diaz, Kamano, Lee, Matsuyama, Sato, Suzuki, PRC80 025207 (2009)
other analyses
N- transition GM form factorN- transition GM form factor
Q2 dependence of the form factors: 2/3
real part
imaginary part
A3/2A3/2
A1/2A1/2
CLAS
Suzuki, Sato, Lee, arXiv:0910.1742
Julia-Diaz, Kamano, Lee, Matsuyama, Sato, Suzuki, PRC80 025207 (2009)
N-D13 e.m. transition amplitudeN-D13 e.m. transition amplitude
Q2 dependence of the form factors: 3/3
Suzuki, Sato, Lee, arXiv:0910.1742
Julia-Diaz, Kamano, Lee, Matsuyama, Sato, Suzuki, PRC80 025207 (2009)
N-P11 e.m. transition amplitudeN-P11 e.m. transition amplitude
CLAS CollaborationPRC78, 045209 (2008)
realimaginary
realimaginary
A1/2A1/2
pi N amplitudes (2006-2009)Julia-Diaz, Lee, Matsuyama, Sato, PRC76 065201 (2007)
Isospin 1/2 Real TIsospin 1/2 Real T
Double pion photoproductionKamano, Julia-Diaz, Lee, Matsuyama, Sato, PRC80 065203 (2009)
Parameters used in the calculation are from N N & N N analyses.
Good description near threshold
Reasonable shape of invariant mass distributions
Above 1.5 GeV, the total cross sections of p00 and p+-
overestimate the data.
pi N amplitudes (2006-2009)Julia-Diaz, Lee, Matsuyama, Sato, PRC76 065201 (2007)
Isospin 1/2 Imaginary TIsospin 1/2 Imaginary T
pi N amplitudes (2006-2009)Julia-Diaz, Lee, Matsuyama, Sato, PRC76 065201 (2007)
Isospin 3/2 Real TIsospin 3/2 Real T
pi N amplitudes (2006-2009)Julia-Diaz, Lee, Matsuyama, Sato, PRC76 065201 (2007)
Isospin 3/2 Imaginary TIsospin 3/2 Imaginary T
pi N amplitudes (current model) !!! PRELIMINARY, NOT the final result !!!
Real T
Imaginary T
pi N amplitudes (current model) !!! PRELIMINARY, NOT the final result !!!
Phase shift and inelasticity
W (MeV)
pi N pi pi N reaction
Parameters used in the calculation are from N N analysis.
Kamano, Julia-Diaz, Lee, Matsuyama, Sato, PRC79 025206 (2009)
Full result
C.C. effect off
pi N eta N reactionDurand, Julia-Diaz, Lee, Saghai, Sato, PRC78 025204 (2008)
N* N varied
Model constructed from N N analysis only
Modifications of the DCC model
e.g.) Hadronic parameters of D13 state ( I = 1/2, J = 3/2, Parity = minus)
18 12
×
M
B
L
L = MB orbital angular mom.S = total spin of MBJ = L x S
N*
Number of resonant parameters are reduced significantly !!