Strangeness hadrons in few body nuclei
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Deeply bound kaonic states. Atomic states. Nuclear state. K -. MENU Sept. 3, 2004. Strangeness Hadrons in Few-Body Nuclei. Yoshinori AKAISHI, Akinobu DOTE and Toshimitsu YAMAZAKI. _. Few-Body KN Systems. S =-1. S =-2. n. p. p. p. p. n. n. p. p. p. p. n. p. p. p. p.

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Strangeness Hadrons in Few-Body Nuclei

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Deeply bound kaonic states

Atomic states

Nuclear state

K-

MENU

Sept. 3, 2004

Strangeness Hadrons in Few-Body Nuclei

Yoshinori AKAISHI,

Akinobu DOTE and Toshimitsu YAMAZAKI


_

Few-Body KN Systems

S=-1

S=-2

n

p

p

p

p

n

n

p

p

p

p

n

p

p

p

p

Strange

baryon

=

Di-baryon

=

H*?

Tri-baryon

L*

L*

L*

Tetra-baryon

_

K

Strange heavy nucleus

Strange matter

DAFNE1999

Y. Akaishi & T. Yamazaki


DEAR @ DAFNE


-436 MeV

-412 MeV

none

-62 MeV

-285 MeV

-285 MeV

-

KN interaction

-

n+K0

5.3

0

p+K-

Martin (1981)

-27

L(1405)

S-+p+

-94.9

-103.0

S++p-

-104.4

KpXIwasaki et al. (1997)

S0+p0

(MeV)

L+p0

-181.3


Optical potential

K- atom

_

K nucleus

No Pauli exclusion

for t-matrix:

for g-matrix:

for E= -110 MeV


Chiral symmetry

-

KN

1.5

K+

K-

1.0

200 MeV

7 times

0.5

G/100 MeV

Tomozawa-Weinberg

0.0

0

1

2

3

Chiral SU(3) Dynamics

T. Waas, N. Kaiser & W. Weise, Phys. Lett. B379 (1996) 34.

pN

Isoscalar


Shallow optical potential

Deep optical potential

J. Schaffner-Bielich, V. Koch & M. Effenberger, Nucl. Phys. A669 (2000) 153.

A. Ramos & E. Oset, Nucl. Phys. A671 (2000) 481.

A. Cieply, E Friedman, A. Gal & J. Mares, Nucl. Phys. A696 (2001) 173.

V0+iW0= -50 –i60 MeV

V0+iW0= -120 –i10 MeV

Y. Akaishi & T. Yamazaki, Phys. Rev. C65 (2002) 044005.

N. Kaiser, P.B. Siegel & W. Weise, Nucl. Phys. A594 (1995) 325.


_

Nuclear KNN bound states

obtained from 3-body variational calculation.

S = 0

T = 3/2 Unbound

S = 1

T = 1/2 Above the L(1405) + n threshold

S = 0

T = 1/2 E = -48 MeV G= 61 MeV


Structure of ppK-

0.8

fm-3

1.36 fm

0.6

K-

p

p

0.4

1.90 fm

rms distance

0.2

3.90 fm

rms distance

0.0

0

2

4

6

r fm

8

T. Yamazaki & Y. Akaishi, Phys. Lett. B535 (2002) 70.


K- + pp

K- + p

K- + 3He

MeV

MeV

MeV

r fm

r fm

r fm

1

2

3

1

2

3

1

2

3

0

0

0

L(1405)

-50

-50

-50

S+p

S+p

S+p

L+p

L+p

L+p

-200

-200

-200

-300

-300

-300

-400

-400

-400

-500

-500

-500


p

p

T. Yamazaki & Y. Akaishi, Phys. Lett. B535 (2002) 70.


Shrinkage !

40

rfm

MeV

30

1

2

3

0

20

(-69, 66) MeV

S+p

10

(-86, 32) MeV

-100

0

1.0

1.2

1.4

1.6

-60

-70

-200

-80

1.47 fm

Free

MeV

-90

-300

-100

-110

Rcore fm

-400

-120

1.0

1.2

1.4

1.6

Nuclear bound state

DEcore(Rcore)

Hasegawa-Nagata’s NN

~1Gev repulsion

E G

EK+DEcore

EK(Rcore)

Y. Akaishi & T. Yamazaki, Phys. Rev. C 65 (2002) 044005


EK

MeV

M. Iwasaki et al.,

Nucl. Inst. Meth.

A473 (2001) 286.

K- + 3He

0

4He (stopped K-, n)

T = 1

-50

Branching

~2%

50

d+S-+p+

d+S++p-

-100

-108 MeV

15 MeV

70

90

T = 0

-150

Tn

MeV

d+L-+p0


Evidence for K-ppn

M. Iwasaki

T. Suzuki

H. Bhang

G. Franklin

K. Gomikawa

R.S. Hayano

T. Hayashi

K. Ishikawa

S. Ishimoto

K. Itahashi

T. Katayama

Y. Kondo

Y. Matsuda

T. Nakamura

S. Okada

H. Outa

B. Quinn

M. Sato

M. Shindo

H. So

T. Sugimoto

P. Strasser

K. Suzuki

S. Suzuki

D. Tomono

A.M. Vinodkumar

E. Widmann

T. Yamazaki

T. Yoneyama

from 4He(stopped K-,n)

Oct.16, 2003 M. Iwasaki et al.

nucl-ex/0310018


ppnK-

Theor.

20

-108

Exp.

n

rN(0) = 8.9 r0

rNav=3.1r0

K-

p

p

udd

Tri-baryon ?

DBth-ex ~ 60 MeV

_

uud

uud

us

Chiral restoration ?

1.5 fm

mK/ f 2

11 or 9 quarks ?

Challenging problem !


r fm

1

2

3

0

-5 MeV

-100

-23 MeV

-200

-37 MeV

Relativistic effect

-300

proportional to e 2

-400

_

K-NNN potential

-500

17% enhanced KN bare int.

-600

_

MeV

_

(9% enhanced KN effective int.)

Without shrinkage

With shrinkage


KN enhanced by 17%

-133

-132

Relativistic effect

-170

T=0,1/2-

T=1, 3/2+

Observe

all.

-193 MeV

Exciting!

N(0s)2(0p)K-

N(0s)3K-

-103 MeV

-97 MeV

“pnnK-”

“pppK-”

“ppnK-”


4He(stopped K-, p) pnnK-

p momentum


Press release

on Aug. 24, 2004

Discovery of S0(3115)

T. Suzuki

H. Bhang

G. Franklin

K. Gomikawa

R.S. Hayano

T. Hayashi

K. Ishikawa

S. Ishimoto

K. Itahashi

M. Iwasaki

T. Katayama

Y. Kondo

Y. Matsuda

T. Nakamura

S. Okada

H. Outa

B. Quinn

M. Sato

M. Shindo

H. So

P. Strasser

T. Sugimoto

K. Suzuki

S. Suzuki

D. Tomono

A.M. Vinodkumar

E. Widmann

T. Yamazaki

T. Yoneyama

in 4He(stopped K-,p)K-pnn

Phys. Lett. B597 (2004) 263

13s


8Be 8BeK-

7 fm

Density (/fm^3)

0.0 0.10 0.20

Density (/fm^3)

0.0 0.41 0.83

Dense & Cold

AntisymmetrizedMolecularDynamics calculation

A. Dote, H. Horiuchi, Y. Akaishi & T. Yamazaki, Phys. Lett. B590 (2004) 51.


Normal density

300 MeV

Temperature

T

5r0

Density

r

T. Hatsuda &T. Kunihiro,

Phys. Rev. Lett. 55 (1985) 158.

M. Lutz, S. Klimt & W. Weise,

Nucl. Phys. A542 (1992) 52.

W. Weise, Nucl. Phys. A553 (1993) 59c.


Nuclear Phase Diagram

Temperature

Quark-gluon plasma

Tricritical point

150 MeV

Hadrons

Liquid-gas

Color superconductor

(2SC), (CFL)

Dense & cold

Chemical potential

Nuclei

Color forromag.

A. Iwazaki et al.


_

_

us

us

uud

uud

ppK-

ppK- K-

1.36 fm

K-

1.5 fm

p

p

K-

1.90 fm

1.3 fm

uuddss

Strange deuteron?

Excited H*di-baryon?

P. Kienle

T. Yamazaki


ppK- L + p

ppnK- L + d

K-

Cold & dense

fragments

Heavy-Ion Reaction ~10A GeV

High-density environment provided by HI fireball

Invariant-mass spectroscopy for their decays

“Decay-channel spectroscopy”

T. Yamazaki

Phys. Lett. B587 (2004) 167


FOPI at GSIfrom Kutsche (PhD) 1999

Superb L identification


A. Andronic and P. Braun-Munzinger, priv.comm., Oct.17, 2003

----> GSISIS100/300: best place


_

Nuclear K bound state

Mini strange matter

_

K plays a role of“contractor”.

A new means to investigate

hadron dynamics in dense&cold matter

Production-/Decay-

channel

spectroscopies

Chiral restoration?

Color superconductivity?

Kaon condensation?

Strange hadronic/quark matter?

KEK

DAFNE

SPring-8

GSI

J-PARC

Concluding Remarks

_

Few-body K nuclear systems would provide

experimental data of fundamental importance

for hadron physics with strangeness.


Meson-nucleon systems

of 2nd generation

Excitation energy

(MeV)

500

400

300

200

100

0

S=-2

S=-1

S=0 nuclei


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