少数体ケイオン核の課題
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少数体ケイオン核の課題. August 7, 2008. Y. Akaishi T. Yamazaki, M. Obu, M. Wada. Super strong nuclear force. Revival of Heitler-London-Heisenberg picture. http://www.jstage.jst.go.jp/browse/pjab. K - pp as decaying state. Chiral. Akaishi-Yamazaki. 1420.

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少数体ケイオン核の課題

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4647653

少数体ケイオン核の課題

August 7, 2008

Y. Akaishi

T. Yamazaki, M. Obu, M. Wada


4647653

Super strong nuclear force

Revival of

Heitler-London-Heisenberg picture

http://www.jstage.jst.go.jp/browse/pjab

K-pp as decaying state


4647653

Chiral

Akaishi-Yamazaki

1420

KbarN scattering amplitude

T. Hyodo and W. Weise, Phys. Rev. C 77 (2008) 035204

Effective KbarN interaction based on chiral SU(3) dynamics

Im


4647653

Weinberg-

Tomozawa

Virtually

L = 630 MeV/c

Unitarized

Resonance / bound states

Chiral unitary model


4647653

M. Obu

Potential

N = 1, 2, 4, 8

VWT

Slow damping

Rapid oscillation

Resonance

High excitation

Narrow width

L = 630 MeV/c

Step form factor and resonance width

iL

kR+ikI


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rms r KE PE

[fm] [MeV] [MeV]

SC863-1426-32 1.75 134 -140-i16

SC863-1420-40 1.44 161 -173-i20

G0.66 -1405-40 1.34 115 -143-i20

r [fm]

[MeV]

Imaginary

Real

Effective local K-p potential

Wave function of L(1405)


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Dimensional regularization

Feynman's identity

Analytic continuation

Wick rotation

Laurent expansion

Regularization


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Two-step cutoff potential model

Step function

m =140MeV/c, M =1189 MeV/c

Loop integral

Non-relativistic reduction of G4Dim

-0.6 for M=1189 MeV/c

-1.0 for M= 800 MeV/c

with m = 630 MeV/c & a(m)=-1.96


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Trajectory of pS poles as a function of s22

Im E

E=0

x

x

x

x

Anti-resonance / virtual state

x

x

p + S

-200MeV

-0.8

-100MeV

0

Re E

x

x

-1.6

-1.0

-0.4

-1.3

-1.2

-1.0

Bound state

L(1405)

s22

Feshbach

resonance

Imk

s22= -0.6

-2.0

"Shape"

resonance

m

Rek

_

K + N

m =270 MeV/c2

Poles which characterize

the potential shape

[ - ]sheet

pS unphysical

[ + ]sheet

pS physical


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p+

p+

S+(1660)

p

L*

p

S

S+(1660)

S

TSp,Sp

p+

S+(1660)

L*

p

S

TSp,NK

K- + p

p + S

R.J. Hemingway,

Nucl. Phys. B253 (1985) 742

Interference

MSp[MeV/c2]


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From K-4He atom

B. Riley et al.

Pseudo-invariant mass

T. Yamazaki & Y. Akaishi,

Phys. Lett. B 453 (1999) 1

R.J. Hemingway

S-p invariant-mass distributions


4647653

Quasi-free

1420 MeV/c2

1405 MeV/c2

with G = 40 MeV

D-momentum[MeV/c]

S-p invariant mass / D-momentum distributions

P. Kienle, Y. Akaishi & T. Yamazaki, Phys. Lett. B 632 (2006) 187


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S-wave abs.

Y770-1420-40

Y770-1405-40

S-p partial invariant-mass spectra

from stopped K- on 4He, 3He and D

1420 MeV/c2

1405 MeV/c2

with G = 40 MeV

MSp[MeV/c2]


4647653

Acknowledgements:

O. Morimatsu, K. Yazaki

Thank you very much!


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