t. sato osaka umenu2013.roma2.infn.it/talks/monday_baryons_1/1-sato-menu2013.… · a. matsuyama,...
TRANSCRIPT
![Page 1: T. Sato Osaka Umenu2013.roma2.infn.it/talks/monday_baryons_1/1-Sato-menu2013.… · A. Matsuyama, T. Sato, T.-S.H. Lee Phys. Rep. 439 (2007) 193 Start from effective, Hermite Hamiltonian](https://reader034.vdocuments.mx/reader034/viewer/2022050213/5f5f6d13c23502660c3e5f3b/html5/thumbnails/1.jpg)
Dynamical understanding of baryon resonances
T. Sato Osaka U
Report on our extended analysis of meson production reactions (ANL-Osaka)
H. Kamano, S. Nakamura, T. –S. H. Lee, T. Sato
Phys. Rev. C88 035209(2013)
Oct. MENU2013
g*
N
N*
N-N* e.m. transition
form factors
N
N* p N coupling
constant
Mass, width
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Feature of N*,Δ resonances
• excite states of nucleons are unstable particles and appear as resonances
• strong coupling of excited states with meson-baryon continuum
large width (~> 100MeV) and overlapping resonances
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Extraction of N*,Δ resonances properties
• excited states of nucleons are unstable particles and appear as resonance
• strong coupling of excited states with meson-baryon continuum
large width (~> 100MeV) and overlapping resonances
Extraction of resonance properties requires systematic analysis of meson
production reactions[ channels, wide energy region, observables ].
W<2GeV, open channels:
Our approach: Dynamical coupled channel approach
ANL-Osaka, Julich, Dubna-Mainz-Taipei,…
Complementary approaches: ..
Bonn-Gatchina, George Washington U.,
Jlab-Yerevan,MAID, Kent state, Giessen,
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Partial wave amplitude
Resonance parameters
QCD
Coupled channel
reaction model
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Contents
Coupled channel approach of meson production reactions
Analysis of meson production reactions
Extraction of N* parameters:
N* spectrum, residue of amplitude
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dynamical coupled-channels (DCC) model
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Dynamical Coupled Channel Approach
r: ‘short range’
MB: ‘long range’
A. Matsuyama, T. Sato, T.-S.H. Lee Phys. Rep. 439 (2007) 193
Start from effective, Hermite Hamiltonian of meson-baryon system
couples with ‘isobar’ channels
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Scattering amplitude of pion and photon induced meson production
amplitudes are obtained by solving coupled channel integral equation
(3-dim reduction) in momentum space (partial waves [I,J,P] )
p, r, s, w,..
N N, D
s-channel u-channel t-channel contact
Bosn exchange potentials
Z-diagrams
(AGS 3-body eq.)
Bare N* N*bare
D p
N p
p
D D N p
r,
s
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Combined analysis of pion and photon induced reaction
res Non-res
pion
photon
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Analysis of meson production reactions
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New ANL-Osaka Dynamical Coupled-Channels analysis
2006-2009
6 channels
(gN,pN,hN,pD,rN,sN)
W < 2 GeV
< 1.6 GeV
< 2 GeV
―
―
―
2010-2013
8 channels
(gN,pN,hN,pD,rN,sN,KL,KS)
< 2.3 GeV
< 2 .1GeV
< 2.1 GeV
< 2.1 GeV
< 2.1 GeV
< 2.1 GeV
channels
reactions
• Extended to include KY production reaction, higher W
• Fully combined analysis of gN , pN pN , hN , KL, KS reactions
SU(3) Meson (P,V octet), Baryon(octet,decuplet)
• omega N, pipi N are not included in fit
• Total 22,348 data points
(JLMS)B. Julia-Diaz,T.-S. H.Lee,A. Matsuyama, T. Sato,PRC76 065201(2007)
pp pN
gp pN
p-p hn
gp hp
pp KL, KS
gp KL, KS
(JLMS) (ANL-Osaka)
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Data sets
Single energy solution of SAID 20 partial waves
• first step: W<1.4 mainly non-resonant interaction + delta_33
• second step: W<2.3 mainly N* parameters
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Number of data points of hadronic processes
Number of data points of photoproduction processes
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Im
I=1/2 I=3/2 amplitude
• Improvement for S31,P31,D35
• Direct comparison with obs. was done.
Re
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• Extensive data of differential cross section can be fitted very well for W<1.9GeV.
• Not able to account forward peak W>1.933GeV
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• Extensive data of Sigma can be fitted well for W<1.9GeV.
of
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P
T
G
H
Polarization observables of
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0
0.2
0.4
0.6
0.8
1
1700 1800 1900 2000 2100
pi- p -> K0 L
w/o kS
Effects of coupled channel (KY)
full
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Extraction of resonance poles and residues
of scattering amplitudes
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Extraction of resonance parameters
mass and width residue
coupling constant
helicity amplitude
Resonance as a pole of S/T-matrix
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resonance poles of ANL-Osaka analysis
I=1/2 I=3/2
AO JLMS AO JLMS
1/2 - 2 2 1+1* 1
3/2 - 1+1* 1 2 1
5/2 - 1 1 1 0
1/2+ 2 2 1 0
3/2+ 2 0 2 1
5/2+ 1 1 1 2
7/2+ 0 0 1 1
Re(M)< 2GeV, Im(M) < 0.2GeV, at closest sheet
JLMS: Suzuki et al. PRL104(2010)042302
Branching point (Complex W-plane)
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Spectrum of nucleon resonances
J: Julich (model A: dynamical reaction model)
EPJA(2013)49,44 D. Ronchen et al.
BG: Bonn-Gachina(K-matrix approach)
EPJ A(2012)48,15 A.V.Anisovich et al.
Re(M) < 2GeV
Width < 0.4GeV, (AO only poles on the nearest sheet)
2nd S31(1702-193i)
AO: Argonne-Osaka
PDG: 2012 3*, 4*
I=3/2
2nd D13(1702-141i)
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• AO agree with PDG for W<2GeV(3*,4*) except no 3rd P33,D13, additional 2nd D33, 2nd S31
• Pole positions of AO,Julich,Bonn-Gachina agree well only
for the first N*
I=1/2
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Residue of piN amplitude at resonance pole
I=1/2
I=3/2
• Three analyses for piN residue agree well for Delta(1232), for some states
agree qualitatively. Similar situation for the photon helicity amplitudes.
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Summary
We have investigated within a dynamical coupled channel model of pi-N and
gamma-N reactions up to 2GeV
The meson baryon channels included in calculations are
Parameters for non-resonant interaction is mainly constrained by the fit to low
energy region W<1.4GeV and N* parameters are determined by the fit up to
W<2GeV
Pole positions and residues(coupling constants of N*) are extracted by analytic
continuation of the amplitudes.
Recent analyses agree well only for the first N* in each spin parity Isospin(J,P,I
( )
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Next step Continue combined fit including two pion and omega production data to
improve fits around W~ 2GeV. combine information from new hyperon
photo production data.
Extract transition electromagnetic forms factor for major resonances
Analysis on the nature of resonance poles
Construction of a model for neutrino induced reaction.
Y. Hayato(ICRR, U. of Tokyo), M. Hirai(Tokyo Science U.),H.
Kamano(RCNP,Osaka U.),S. Kumano(KEK),S.
Nakamura(YITP,Kyoto U.),K. Saito(Tokyo Science U.),T.
Sato(Osaka U.),M. Sakuda(Okayama U.) DIS
QE
RES
Atmospheric T2K
Collaboration at J-PARC Branch of KEK theory center
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Collaborators
J. Durand (Saclay)
B. Julia-Diaz (Barcelona)
H. Kamano (RCNP,Osaka)
T.-S. H. Lee (ANL)
A. Matsuyama(Shizuoka)
S. Nakamura (YITP,Kyoto)
B. Saghai (Saclay)
T. Sato (Osaka)
C. Smith (Virginia)
N. Suzuki (Osaka)
K. Tsushima (Fed. Univ. of Rio Grande do Norte)
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backup
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Coupled-channels effect
Full
c.c. effect of
ppN(pD,rN,sN) &
hN off
Pion photoproduction (JLMS)
(JLMS)
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Partial wave amplitude Resonance parameter
Analytic continuation
in practice
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First P33 Second P33
Re Im
ANL-Osaka JLMS Julich Bonn-Gachina GW/VPI
Mass(MeV) 1734 -176i 1553-352i 1498 – 115i 1457-200i
piN resid.(MeV) -4 -7i -19-7.5i -11-2.7i -36+24i
A_1/2(10^-3 Gev-{1/2} 23 +67i -34+41i
A_3/2 18 + 135i -39+11i
Second Delta33
Weak coupling with piN, sizable coupling with gamma N 1.2
2.0
GWU/VPI
Phys.Rev.C74(2006)045205, R. A. Arndt et al.
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Delta P33 (1232) and second P33
ANL-Osaka JLMS Julich Bonn-
Gachina
GWU/VPI
Mass(MeV) 1211-51i 1211-50i 1220-53i 1211-50i 1211-50i
piN resid.(MeV) 37-39i 36-38i 36-25i 36-37i 35-38i
A_1/2(10^-3 Gev-
{1/2}
-129+34i -117+10i --- -124+4i ---
A_3/2 -257+12i -249+12i --- -251+39i ---
Delta(1232)
All analyses agree reasonably well with each other
piN amplitude |F| on complex W plane GWU/VPI
Phys.Rev.C74(2006)045205, R. A. Arndt
et al.
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P
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Scattering Amplitude
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2-2 amplitudes
Two-pion production
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Understanding of pipiN dynamics
• large part of the meson production cross section
• large partial width of N*
• poor data for piN pipiN reaction compared with
photo-production data
Near future improvements on the description of meson
production reactions N* extraction
Resonances, photo coupling of higher energy resonances
Complete measurement of pseudo scalar meson production
reaction
A. Sandorfi, S. Hoblit, H. Hamano, T.-S.H. Lee JPG 38 (2011) 053001.
Proposal for JPARC
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Predictions for πp ππN total cross sections
VERY
PRELIMINARY
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Full result
Phase space
Kamano, Julia-Diaz, Lee, Matsuyama, Sato, PRC79 025206 (2009)
Invariant mass
distributions
Data handled with the help of R. Arndt
2. pi N pi pi N reaction
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pi N pi pi N reaction
Parameters used in the calculation are from pN pN analysis.
Kamano, Julia-Diaz, Lee, Matsuyama, Sato, PRC79 025206 (2009)
Comparable with
previous theoretical
calculations !
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Estimation of resonance amplitude