Photoproduction of K * for the study of the structure of L (1405)
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Photoproduction of Photoproduction of KK* * for the study of the structure ofor the study of the structure o
f f (1405)(1405)
Photoproduction of Photoproduction of KK* * for the study of the structure ofor the study of the structure o
f f (1405)(1405)
Tetsuo Hyodoa
a RCNP, Osaka b IFIC, Valencia c Barcelona Univ.
2003, November 4th
A. Hosakaa, E. Osetb, A. Ramosc and M. J. Vicente Vacasb
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1. Introduction1. Motivation : Two poles?
2. Chiral unitary model1. Framework of the chiral unitary model2. Example : Kp scatterings3. Pole structure of (1405)4. Example : p -> K0
3. K*(1405) production1. Effective interactions2. Numerical results
ContentsContents
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Motivations : Two poles?Motivations : Two poles?
• Cloudy bag model (1990) J. Fink et al. PRC41, 2720
• Chiral unitary model (2001~) J. A. Oller et al. PLB500, 263 E. Oset et al. PLB527, 99 D. Jido et al. PRC66, 025203 T. Hyodo et al. PRC68, 018201
There are two poles of the scattering amplitudearound nominal (1405) energy region.
(1405) : JP=1/2, I=0
ChU model, T. Hyodo
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Chiral unitary modelChiral unitary model
Unitarity of S-matrixChiral symmetry
Flavor SU(3) meson-baryon scatterings (s-wave)
Resonances
Low energy behavior
Non-perturbativeresummation
(1405), (1670), N(1535),(1620), (1620)
Dynamicalgeneration
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Chiral perturbation theory
Unitarization
Framework of the chiral unitary modelFramework of the chiral unitary model
Resonances
Generated resonances areexpressed as poles of the scattering amplitude.
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Total cross sections of Kp scatteringsTotal cross sections of Kp scatterings
T. Hyodo, et al., Phys. Rev. C 68, 018201 (2003)
200
150
100
50
0300200100
K-p
70
60
50
40
30
20
10
0300200100
0
200
150
100
50
0300200100
+−
60
50
40
30
20
10
0300200100
Plab [ / ]MeV c
K0n
60
50
40
30
20
10
0300200100
Plab [ / ]MeV c
0080
60
40
20
0300200100
Plab [ / ]MeV c
−+
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(1405) in the chiral unitary model(1405) in the chiral unitary model
D. Jido, et al., Nucl. Phys. A 723, 205 (2003)
mass distribution
1390 + 66i (
1426 + 16i (KN)
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Example : the p -> K0 reactionExample : the p -> K0 reaction
Chiralterm
N(1710)
Chiral unitary model
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Results for p -> K0Results for p -> K0
T. Hyodo, et al., nucl-th/0307005, Phys. Rev. C, in press
Total cross sections [mb]Mass distribution
� There are two mechanisms in the initial stage interaction, which filter each one of the resonances.
Good agreement(1385) effect
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Photoproduction of K* (1405)Photoproduction of K* (1405)
Only Kp channel appears at the initial stage
Higher pole ??
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Effective interactions for meson partEffective interactions for meson part
1. VP coupling
2. VPP coupling
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Effective interaction for (1385)Effective interaction for (1385)
3. (1385)MB coupling
4. KP -> (1385) -> MB amplitude
SU(6) symmetry
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2.5x10-3
2.0
1.5
1.0
0.5
0.01550150014501400135013001250
MI [ ]MeV
00 (~ =0)I average of charged 0 ( =1)I
Experiments : mass distributionExperiments : mass distribution
Plab = 2.5 GeV/csqrt s ~ 2.35 GeV
Preliminary
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Summary and conclusionsSummary and conclusions
We study the structure of (1405) using the chiral unitary model.
� There are two poles of the scattering amplitude around nominal (1405).
Pole 1 (1426+16i) : strongly couples to KN statePole 2 (1390+66i) : strongly couples to state
http://www.rcnp.osaka-u.ac.jp/~hyodo/index_e.html
� By observing the mass distribution in the p -> K*(1405) reaction, it could be possible to isolate higher energy pole.
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Appendix : other processesAppendix : other processes
p -> K
p -> J.C. Nacher, et al., PLB461, 299(1999)
J.C. Nacher, et al., PLB445, 55(1999)
Spring-8
J-PARC?