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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 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 KbarN scattering amplitude T. Hyodo and W. Weise, Phys. Rev. C 77 (2008) 035204 Effective KbarN interaction based on chiral SU(3) dynamics Im
Weinberg- Tomozawa Virtually L = 630 MeV/c Unitarized Resonance / bound states Chiral unitary model
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
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)
Dimensional regularization Feynman's identity Analytic continuation Wick rotation Laurent expansion Regularization
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
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
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]
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
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
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]
Acknowledgements: O. Morimatsu, K. Yazaki Thank you very much!