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!