A new condensed kaonic-proton matter (KPM) composed of * K - p - - PowerPoint PPT Presentation

A new condensed kaonic-proton matter (KPM) composed of Λ* K-p multiplets

and its astrophysical connections

Yoshinori AKAISHI and Toshimitsu YAMAZAKI NSMAT2016

Sendai, Nov. 21

≡

K- + p

MeV

• 27

K =

E MeV 4 = Γ

1 2 3 r fm

• 50
• 200
• 300
• 400
• 500

nucl K

U

MeV

Λ(1405)

Σ+π Λ+π

K- + pp

MeV

• 48

K =

E MeV 61 = Γ

1 2 3 r fm

• 50
• 200
• 300
• 400

nucl K

U

MeV

H

2 K Σ+π Λ+π

K- + 3He

MeV

• 108

K =

E MeV 2 = Γ

1 2 3 r fm

• 50
• 200
• 300
• 400

nucl K

U

MeV

H

3 K Σ+π Λ+π

Shrinkage!

• 500
• 500
• Y. Akaishi & T. Yamazaki, Phys. Rev. C 65 (2002) 044005
• T. Yamazaki & Y. Akaishi, Phys. Lett. B 535 (2002) 70

"Λ(1405) ansatz"

Dote et al.

The most relevant issue is : M (Λ*) = 1405 or 1420 ?

Chiral

N.V. Shevchenko, A. Gal & J. Mares, Phys. Rev. Lett. 98 (2007) 082301 E = -55~-70 MeV, Γ = 90~110 MeV

• Y. Ikeda & T. Sato, Phys. Rev. C 76 (2007) 035203

E = -80 MeV, Γ = 73 MeV

• A. Dote, T. Hyodo & W. Weise, Phys. Rev. C 79 (2009) 014003

E = -20+-3 MeV, Γ = 40~70 MeV

New prospects

• 1. Deeply bound
• 2. Dense and cold
• 3. Boson (subar) as

constituent

• f “matter”

2015 Our analyses

• M. Hassanvand et al., Phys. Rev. C 87 (2013) 055202

HADES data

• G. Agakishiev et al.,
• Phys. Rev. C 87 (2013)

025201 (GSI, Germany)

2016

Double poles from CLAS data

m

π Σ K p + + → +

± +

γ

• M. Mai & U-G. Meissner,
• Eur. Phys. J. A 51 (2015) 30

χ 2

p.p.= 1.77

• K. Moriya et al.,
• Phys. Rev. C 87

(2013) 035206 W = 2.0 ~2.8 GeV (J-LAB, USA)

Fundamental amplitudes, I =0 T21(Y) and T22(Y) HAY 2 parameters (M,Γ )

M-M fixed + 3 outer parameters Σπ ; 2 N K ; 1 + 19 M-M

Λ*

The CLAS data never participated in determining the pole positions. “Inner” parameter

What is the pole position of Λ(1405) extracted from the CLAS data?

just in the bound region

Pole structure of the Λ(1405) region

U.-G. Meissner & T. Hyodo

NLO chiral amplitudes

+ SHIDDHARTA (K-d atom) 8 sets

“Outer” parameters

M-M ~19 x 9 Extrapolated to bound region

etc.

Confidence level map from the Σ0π0 CLAS data

By M. Hassanvand

Our M(Λ*)=1405 ansatz is robust.

PDG Chiral #4

p p K-

1.90 fm rms distance

• 600
• 500
• 400
• 300
• 200
• 100

100 200

BE(K-p) = 27 MeV BE(pp) < 2 MeV

[MeV] NN int. K-p int.

• 78

K-−(pp) (K-p)−p

K-pp quasi-bound state

Λ*-p structure

Λ*=(K-p)I=0

unit

DISTO

• T. Yamazaki et al.,
• Phys. Rev. Lett.

104 (2010) 132502

• Y. Ichikawa et al.,
• Prog. Theor. Exp. Phys. 2015, 021D01

E27@J-PARC

• S. Maeda et al.,
• Proc. Jpn. Acad. B 89

(2013) 418

17% enhanced KbarN interaction

MeV

• 103

K =

E

MeV 118 = Γ

K-pp

MeV

• 48

K =

E MeV 61 = Γ

Theor.

Yamazaki-Akaishi

Deeply bound!

more than p + p K+ + X

2.85 GeV

(SATURNE, France)

Summary talk at Meson2015 (Krakow)

Shallow : BK

• pp(E15) 15 MeV

≈

Deep : BK

• pp(E27) 95 MeV

≈

• r

Misunderstanding of QF Y*, that is a sum of several L peaks.

1) BK

• pp(Chiral) 20 MeV

≈ 2) E27 : Shift of QF Y* 22 MeV ≈

Y*

Shallow !

• A. Gal, arXiv:1609.04570v1 [nucl-th]

2150 2200 2250 2300 2350 2400 2450 2500

Angular-mom. decomposition of the Λ*-p pair

Effect of DISTO Λ*-p interaction

L= 0 L= 1 L= 2

QF L= 2 QF L= 0

8 ≤ L

QF

MM [MeV/c2]

QF L=1

QF Λ*

No Λ*p int.

K-+p+p Λ*+p (PDG) K-pp (DISTO)

Exclusive spectrum of E15

DISTO K-pp

L=1 Λ*-p L=0 Λ*-p BE(K-pp)=16 MeV, Γ(K-pp)=72 MeV

arXiv:1607.02058v1 [hep-ph], and PTEP 2013

• T. Sekihara, E. Oset and A. Ramos

Option A

• M. Iwasaki, MIN-2016

Deeper than chiral one.

• 600
• 500
• 400
• 300
• 200
• 100

100 200 300 0.0 0.5 1.0 1.5 2.0 2.5 3.0

Λ*Λ* model for K-K-pp

D

[fm] [MeV]

EF TF UF

( ) { }

) ( ) ( ) ( ) ( ,

2 1 2 1 2 1

r r r r N r r

a b b a

r r r r r r φ φ φ φ Φ ± =

If K- is assumed to be a fermion:

Fermion covalent bonds cancel each other.

Boson covalent bonds are always added !

• 5.0
• 3.0
• 1.0

1.0 3.0 5.0

D

Λ*

K- K-

E U VKK T

1 2 3

Λ*

p p

( ) ( ) ( )

∞ − ≡ U D U D U

mig

K 2 pp

( )

{ }

( )

* *

V V U V

Λ p KK pp K pp Λ p * Λ * Λ

mig

ρ ρ ⊗ + + ⊗ = ⇒

2 E(Λ*)

K-+ p Λ* Λ n

[MeV/c2 ] 1432 1405 1116 940 938

Σ0

1193 316 MeV 289 MeV

p

At least ~300 MeV binding is necessitated for quasi-stable Λ*

4Λ* in mean field ~4 covalent bonds Λ*

N

Possible existence of “few-body strangelet”

“K-”+p

at most ~200 MeV

Λ* multiplets

“Strangelet”

“Λ*” in (Λ*)4

12 covalent bonds

Λ*

(Λ*)4 multiplet

“Λ*” in (Λ*)6

Gazda et al.’s limitation

Λ n

1116 MeV 940 MeV

Λ∗ 1405 MeV

1326 MeV 1209 MeV 1269 MeV 1068 MeV 1216 MeV 911 MeV

Λ* effective mass in Λ* strangelet

H* doublet H* triplet H* quartet Stable

AY KbarN int.

K-K-pp = Λ*Λ* = H*

Λ* quartet Λ* sextet Λ* octet

Quasi-stable

DISTO KbarN int. 1349 MeV 1330 MeV

H* singlet

Λ* doublet

1216 MeV

Kaonic-proton matter

Matter Anti-matter Hybrid

uud udd d u u uud u s ⋅ uud u s ⋅ d u u u s ⋅ ⋅ ⋅ ⋅ s d u ⋅ ⋅ ⋅ s d u

Residue

~10-8 Disappearing Relic

Quarks Anti-quarks QGP QGB

Anti-quark survives as KPM.

KbarN structure of Λ(1405) from lattice QCD calculation

• J. Hall, , A.W. Thomas et al., Phys. Rev. Lett. 114 (2015) 132002

sud subar-uud

What is Λ*-p interaction, SSNF?

Λ* K- p

Remark

Super-strong Λ*-Λ* force due to Kbar migration predicts the possible existence of Λ* multiplets / Kaonic Proton Matter, which could be stable against any known decay modes.

• Y. Akaishi and T. Yamazaki

arXiv:1610.01249v1 [nucl-th]

Thank you very much!

p K-pp Λ*

K+

p

Several GeV Short collision length Compact bound state

Gateway to "Swan Nuclear Physics"

• T. Yamazaki, Y. Akaishi & M. Hassanvand, Proc. Jpn. Acad. B 87 (2011) 362

~3 GeV

p K-K-pp Λ*

K+

Λ* p

K+

~7 GeV

The late Prof. Nishijima

DISTO

Production cross section of K-K-pp

2400 2500 2600 2700 2800 2900 3000 0.0 0.3 0.6 0.9 1.2 1.5

d

2σ /dE dθK

+K + [arb. units]

M(K-K-pp) [MeV/c

2]

E [MeV]

• 200-i75
• 150-i75
• 100-i75
• 50-i75

BOUND STATE CUSP QUASI-FREE 2M Λ

*

"Hard formation process" different from Coalescence model and statistical model

(S. Cho et al., Phys. Rev. Lett. 106 (2011) 212001)

2 5 3 max

) (

−

− ∝

n

M M

• M. Hassanvand, Y. Akaishi & T. Yamazaki, Phys. Rev. C 84 (2011) 015207