1 / 15

Three-body resonance in the KNN-π Ｙ N coupled system

Three-body resonance in the KNN-π Ｙ N coupled system. Table of contents 1. Motivation 2. Formalism (3-body equation) 3. Results (KNN resonance state) 4. Summary. Y. Ikeda and T.Sato (Osaka Univ.). 1. Our Motivation. Kaon absorption?? (Magas et al.). Λ(1405). K - pp system.

myrrh
Download Presentation

Three-body resonance in the KNN-π Ｙ N coupled system

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Three-body resonancein the KNN-πＹN coupled system Table of contents 1. Motivation 2. Formalism (3-body equation) 3. Results (KNN resonance state) 4. Summary Y. Ikeda and T.Sato (Osaka Univ.)

  2. 1. Our Motivation Kaon absorption?? (Magas et al.)

  3. Λ(1405) K-pp system -> the resonance in the KN-πΣ coupled channel system P P S=-1, B=2, Q=+1 L=0 (s-wave interaction) Jπ=0- (3-body s-wave state) • It will be very important • to take into account the dynamics of KN-πΣ system • in order to investigate whether KNN resonance may exist. Solve K- -> Coupled channel Faddeev equation Find • We consider s-wave state. • We expect most strong attractive interaction • in this configure. -> KNN 3-body resonance Our Investigation • We investigate the possible • [KNN](I=1/2,J=0) 3-body resonance state.

  4. 2. Formalism 2-body Meson-Baryon Potential Chiral effective Lagrangian φ : Meson field , B : Baryon field

  5. KN-πY(I=0, 1) πN(I=1/2,3/2) NN散乱 反対称化を考慮 The ＫＮＮ-πΣＮ resonance ＫＮＮ-πＹＮ 共鳴状態を理解するための全体の目標 本研究での枠組み->KN interaction に注目 : 1-particle exchange term π Ｎ Σ : 2-body scattering term

  6. Parameter fit Our parameter -> cut-off of dipole form factor fit : Martin’s analysis and Kaonic hydrogen data Relativistic Non relativistic I=0 (-1.70 + i0.68 fm) KN =946 MeV πΣ=988 MeV ------------------------ I=1 (0.72 + i0.59 fm) KN =920 MeV πΣ=960 MeV πΛ=640 MeV I=0 (-1.70 + i0.68 fm) KN =1095 MeV πΣ=1450 MeV ------------------------ I=1 (0.68 + i0.60 fm) KN =1100 MeV πΣ=850 MeV πΛ=1250 MeV

  7. πN scattering (S11 and S31) -> Fit to the scattering length and phase shift. (S11) (S31) Rel. Rel. Non-rel. Non-rel. Phys. Lett. B 469 (1999) 25. NN potential -> 2-term Yamaguchi type Phys. Rev. 178 (1969) 1597.

  8. AGS equation for 3-body amplitude Eigenvalue equation for Fredholm kernel Pole of 3-body amplitude Wp = -B –iΓ/2 Similar to πNN, ηNN, K-d analyses.(Matsuyama, Yazaki, ……) K, N,π KN-πＹ, NN, πN

  9. 2-body T-matrix in the 3-body system :spectator energy spectator energy 3. Numerical Results How this attractive KN interaction contributes to 3-body binding system is determined by solving dynamical 3-body eq. directly!! KN amplitude bellow threshold WKN (MeV)

  10. The pole trajectories of three-body system a:KN only b:+NN c:+πＹin τ d:π exchange

  11. The three-body resonance poles (other parameters) Rel. model -1.70-i0.68 fm Martin -1.60-i0.68 fm -1.70-i0.59 fm -1.80-i0.68 fm -1.70-i0.78 fm

  12. Summary • We solve 3-body equation directly. • We can find the resonance pole • in the KNN physical and πΣN unphysical energy plane. • (Wpole = -79.7-i36.4 MeV using relativistic kinematics) In the future • The pole position strongly depends on KN interaction. • -> Form factor (dipole -> monopole) • -> Structure dependence on Λ(1405) • Effects of kaon absorption (p-wave interaction)

More Related