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Theoretical Interpretation of
J-PARC E27 Data
Khin Swe MYINT
Yoshinori AKAISHI and Toshimitsu YAMAZAKI
Suranaree University of Technology
Sawasdee Ka 10th., Oct., 2014
Study of kaonic nuclei by the d (π+ , K+ ) reaction at J-PARC
Ichikawa al,
XV International Conference on
Hadron Spectroscopy-Hadron 2013
Nara, Japan
Simplest kaonic nucleus K- pp bound state is searched at
J-PARC K 1.8 beam line (J-PARC E27 experiment)
d ( π+ , K+ ) X at the beam momentum 1.7 GeV/c
X strangeness (-1), singly charged, double baryon
quasi free Λ* p, Σ* p, Λ p, Σ0 p
K- pp bound stae
Λ* or Λ (1405)
K- pp K- ppn K- p
K- + p
MeV -27K
EMeV 04Γ
1 2 3 r fm 0
-50
-200
-300
-400
-500
nucl
KU
MeV
L(1405)
S+p
L+p
K- + pp
MeV -48K
E
MeV 61Γ
1 2 3 r fm 0
-50
-200
-300
-400
nucl
KU
MeV
H2KS+p
L+p
K- + 3He
MeV -108K
E
MeV 02Γ
1 2 3 r fm 0
-50
-200
-300
-400
nucl
KU
MeV
H3K
S+p
L+p
Shrinkage!
-500 -500
N.V. Shevchenko, A. Gal & J. Mares, Phys. Rev. Lett. 98 (2007) 082301
E = -55~-70 MeV, G = 90~110 MeV Y. Ikeda & T. Sato, Phys. Rev. C 76 (2007) 035203
E = -80 MeV, G = 73 MeV A. Dote, T. Hyodo & W. Weise, Phys. Rev. C 79 (2009) 014003
E = -20+-3 MeV, G = 40~70 MeV
Y. Akaishi & T. Yamazaki, Phys. Rev. C 65 (2002) 044005
T. Yamazaki & Y. Akaishi, Phys. Lett. B 535 (2002) 70
DAFNE Conf. (1999)
"L(1405) Ansatz"
Experimental Observation of K- pp
Stopped K- on 6Li, 7Li and 12C
targets and observed back to
back Λp pairs
Tp = 2.85 GeV
JPARC-E27
D ( π+ , K+ ) X X strangeness (-1), single charged
K- pp, Λ* p, Σ* p, Σ0 p
Inclusive spectrum Y. Ichikawa et al., Proc. Science (Nara Conf. 2013)
(1) and (2) are Λ* – p structure, strong
KN interaction. Major contribution (3) is K-(pp) structure with
p-p repulsive interaction
Λ* K-
(1) p
p
K-
(3)
p
p (2)
K-
p p
Λ*
+
K-
N N
1
2 3
4
3ˆ,4
1ˆ NK112
NK012
II PP
Variational wave function of K-pp
3
1,1
213
0,1
213
0,0
213
2
3
1
4
1
4
32/1 nNKpNKpNKT
L*p
ATMS
Amalgamation of Two-body correlations into Multiple Scattering process
2/1ˆ)(ˆ)()()()()(ˆ)(ˆ)( 13131103131023NN123123NN112121012120 TPrfPrfrfrfrfrfPrfPrf IIIIIIII
2fmMeV1NK
2fmMeV
0NK
)66.0/(exp105175)(
)66.0/(exp83595)(
rirv
rirv
T
T
2fmMeV2fmMeV2fmMeVNN )5.2/(exp5)942.0/(exp270)447.0/(exp2000)( rrrrv
0 Hf
Euler-Lagrange equation
Heitler-London-Heisenberg picture of K-pp
iPE
KE
iE
0.201.143
3.115
0.208.27
L1405)
p K _
p p K _
[MeV]
K-pp [MeV]
p L* L* p + 2
1 [ ] iv
iv
v
iPE
KE
iE
3.76.522
3.230.1432
0.19
6.305.214
0.167
6.305.47
excNK
dirNK
NN
Real Kbar migrating superstrong interaction
DKE = 52
DVNN = -19
DE = -20
DVexc = -53
33
Covalent bonding
Exchange integral
a p K b b p K a - - f f f f v v
Y. Akaishi, T. Yamazaki, M. Obu and M. Wada, Nucl. Phys. A 835 (2010) 67
Model: K- pp production as a Λ(1405) doorway state
T. Yamazaki & Y. Akaishi,
Proc. Japan Academy, B 83 (2007) 144
L*N system with meson exchange
A. Arai, M. Oka & S. Yasui, Prog. Theor. Phys. 119 (2008) 103
Interaction between Λ* and proton
is constructed from three-body ATMS calculation
Amalgamation of Two-body correlations into Multiple Scattering process
DISTO
b = 0.3 fm
V0 = -400 MeV
W0 = -162 MeV
L= 0 E = - 78.0 - i 59.3 MeV
On the missing mass spectrum from D(p+,K+) E27 experiment
n
p+
p
K+
Y, Y*
p
1.7 GeV/c
Y (Λ / Σ) Y* (Λ* / Σ*)
Differential cross section contains
kinematical factor and spectral function S( E )
where E is the missing mass variable
2150 2200 2250 2300 2350 2400 2450 2500MM [MeV/c2]
GL*= 50 MeV YA int.
GL*= 50 MeV DISTO int.
GL*= 0 No L*p int.
GL*= 50 MeV No int.
Missing mass spectrum of L*-p system for E27@J-PARC
DISTOYA%17
S. Maeda, Y. Akaishi & T. Yamazaki,
Proc. Jpn. Acad. B 89 (2013) 418
Proton (> 280 MeV/c)
coincidence
by T. Nagae et al.
cp /MeV5.100,πpΛ p
cp /MeV0.189,πpΣ p0
cp /MeV7.282,pΛpΣ p0
cp /MeV0.476,pΛKpp pDISTO
SN-LN conversion
"K-pp" L*-p QBS
Coincidence study
Proton (> 280 MeV/c)
coincidence
by T. Nagae et al.
0πpΣ cp /MeV5.100,πpΛ p
cp /MeV0.189,πpΣ p0
cp /MeV7.282,pΛpΣ p0
cp /MeV0.476,pΛKpp pDISTO
SN-LN conversion
"K-pp" L*-p QBS
FINUDA M. Agnello et al.,
Phys. Rev. Lett.
94 (2005) 212303
E27@J-PARC Y. Ichikawa et al.,
Proc. Science (Nara Conf. 2013)
DISTO T. Yamazaki et al.,
Phys. Rev. Lett.
104 (2010) 132502
K-pp = L*-p with real Kbar migration
(17% enhanced int.)
2200 2300 2400
Y. Ichikawa et al., Proc. Science (Nara Conf. 2013)
8
12
Inclusive spectrum cp /MeV5.100,πpΛ p
cp /MeV0.189,πpΣ p0
cp /MeV7.282,pΛpΣ p0
cp /MeV0.476,pΛKpp pDISTO
SN-LN conversion
"K-pp" L*-p QBS
Proton (> 280 MeV/c)
coincidence
by T. Nagae et al.
QF Λ-p production and Fermi motion
Deuteron momentum distribution where a = 0.1994 fm-1
Neutron distribution is largest at
Peak position = 2080.94 MeV, level width = 35 MeV consistent with exp.
Λ peak is not a dynamical resonance
Quasi-free Λ*p production
Peak position 2440 MeV, 40 MeV shift from E27 exp.
Blue curve: Fermi motion suppressed, ΓΛ* = 50 MeV
Pink curve: Fermi motion included, ΓΛ* = 0
Green curve: Fermi motion included, ΓΛ* = 50 MeV
Γwidth = 100 MeV
Γfermi = 90 MeV
Γtotal = 140 MeV
L*
K-
p
Concluding remarks
The L* L(1405) plays an essential role
in forming "anti-Kaonic Nuclear Clusters",
the simplest one of which is
K-pp (K-p)p L*p.
The L*p structure interacting with
"super-strong force" due to Kbar migration
provides a possible explanation of
recent J-PARC data on K-pp.
Thank you very much!