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J. Yamagata (Nara Women’s Univ.) H. Nagahiro (RCNP, Osaka Univ.)

Kaon Absorption from Kaonic Atoms and Formation Spectra of Kaonic Nuclei. J. Yamagata (Nara Women’s Univ.) H. Nagahiro (RCNP, Osaka Univ.) D. Jido (YITP, Kyoto Univ.) S. Hirenzaki (Nara Women’s Univ.). Introduction. Kaonic Nuclei 3 He target

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J. Yamagata (Nara Women’s Univ.) H. Nagahiro (RCNP, Osaka Univ.)

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  1. Kaon Absorption from Kaonic Atoms and Formation Spectra of Kaonic Nuclei J. Yamagata (Nara Women’s Univ.) H. Nagahiro (RCNP, Osaka Univ.) D. Jido (YITP, Kyoto Univ.) S. Hirenzaki (Nara Women’s Univ.)

  2. Introduction • Kaonic Nuclei • 3He target -- Signals for kaonic nuclei even with large width? ( only a few subcomponents ) • Theoretical Study ( Kpp bound states ) Structure : Akaishi, Yamazaki, Dote ; N. V. Shevchenko, A. Gal, J. Mares； Ikeda, Sato; Dote, Weise Reaction : Yamagata, Nagahiro, Jido, Hirenzaki ; Koike, Harada (cf: K-pp system : FINUDA. Interpretation by known process ; Oset, Toki) • Our study • Kaonic Nuclei : He, t targets • Kaonic Nuclei : 16O targets • Deeply bound Kaonic Atoms • Comments on Kaon Absorption J-PARC Yamagata, Nagahiro, Okumura, Hirenzaki, PTP114(05)301 ; Errata 114(05)905 Yamagata, Nagahiro, Hirenzaki, PRC74(06)014604 Yamagata, Hirenzaki, EPJA31(07)255 Yamagata, Nagahiro, Kimura, Hirenzaki in preparation

  3. Our Theoretical Tools • Formation spectra in Green function method • Bound state by solving Klein-Gordon equation • Optical potential • Chiral Unitary Model (1) T(r,E)r(r) Higher order medium modifications (2) T(r=0,E)r(r) Linear density • Phenomenological Model (1) (2) [T. Yamazaki, Y. Akaishi, PLB535(02)70] O. Morimatsu, K. Yazaki, NPA435(85)727, NPA483(88)493 E. Oset and L. L. Salcedo, J. Comput. Phys. 57 (85) 361 [A. Ramos, E. Oset, NPA671(00)481] [Hirenzaki, Okumura, Toki, Oset, Ramos, PRC61(00)055205] [ E. Oset, A. Ramos, Nucl. Phys. A635 (98)99] [ E. Oset, A. Ramos, C. Bennhold, Phys. Lett. B527(02)99] [Batty, Friedman, Gal, Phys. Rep. 287(97)385]

  4. 1. Kaonic Nuclei - Light nuclear targets • Optical Potential Chiral Unitary -- T(r=0,E)r(r)Linear density E. Oset, A. Ramos, Nucl. Phys. A635 (98)99 E. Oset, A. Ramos, C. Bennhold, Phys. Lett. B527(02)99 K-pp K-pn K-nn Re Vopt [MeV] E = 0 [MeV] -50 [MeV] -100[MeV] Im Vopt [MeV] r [fm] r [fm] r [fm]

  5. 1. Kaonic Nuclei - Light nuclear targets • Formation Spectra-- Chiral Unitary -- T(r=0,E)r(r)Linear density K－pp K－pn 3He (K-,n) K－nn 3He (K-,p) t (K-,p) 1s : 42.0 MeV (41.1 MeV) 2p ; 19.1 MeV(46.3 MeV) 3d : 11.6 MeV(40.0 MeV) 1s : 22.6 MeV (40.4 MeV) 2p ; 11.2 MeV(38.4 MeV) Tn [MeV] Tp [MeV] Tp [MeV] B.E. (Width)

  6. 1. Kaonic Nuclei - Light nuclear targets • Linear density vs. Higher order medium modifications K-pn(T(r,E)r(r)) K-pn(T(r=0,E)r(r)) Re Vopt [MeV] E = 0 [MeV] -50 [MeV] -100[MeV] Im Vopt [MeV] r [fm] r [fm]

  7. 1. Kaonic Nuclei K－pn • Linear density vs. Higher order medium modifications Kpn(T(r,E)r(r)) Kpn(T(r=0,E)r(r)) Tp [MeV] Tp [MeV] Real Kpn : Expected to be in between

  8. 1. Kaonic Nuclei K－pp T. Yamazaki, Y. Akaishi, PLB535(02)70 Koike, Harada; nucl-th/0703037 Chiral Unitary (T(r=0,E)r(r)) AY type Different origin ! Tn [MeV] Tn [MeV]

  9. Kaonic Nuclei ( KNN systems ) • – Comments on our calculation • We don’t calculate structure as few body systems. • We need to evaluate 2 body absorption correctly. • Chiral Unitary Model T(r=0,E) --- only 1 body absorption T(r,E) --- more than 3 body absorption • We assume density distribution of pp and nn system. Real KNN states (only 1 and 2 body absorption)

  10. 2. Kaonic Nuclei (16O) • Optical Potential Chiral Unitary Model Phenomenological Model [A. Ramos, E. Oset, NPA671(00)481] [Hirenzaki, Okumura, Toki, Oset, Ramos, PRC61(00)055205] [Batty, Friedman, Gal, Phys. Rep. 287(97)385] E = 0 [MeV] -50 [MeV] -100[MeV]

  11. Energy dependent 2. Kaonic Nuclei (16O) Chiral Unitary 16O(In-flight K,n) PK = 930 MeV/c Please ask Kishimoto group for experimental data. Phenomenology 80%:20% Comparison with Kishimoto group’s data [ T.Kishimoto et al., Prog. Theor. Phys. Suppl. 149 (2003)264 ] [ Fig. taken from the seminar slide @NWU by Dr. Hayakawa ]

  12. Atomic State Atomic State 3. Deeply bound Kaonic Atoms -- 12C(K-,p) Chiral Unitary Model

  13. 3. Deeply bound Kaonic Atoms 12C Chiral Unitary Phenomenology • Proton hole state – 1s 1s 2p 2p 2s 2s Dip !! Dip !! 120Sn 1s 1s 2p 2p 2s 2s These are very interesting structures !!

  14. 12C K Chiral Unitary Phenomenology 4. Comments on Kaon Absorption What the data mean? • Kaon absorption from Kaonic Atoms • Observed ratio 1 body : 2 body = 80 : 20 for 12C • The density probed by the Kaonic Atoms : Overlapping density N K p T. Yamazaki, S. Hirenzaki PLB557 (03)20

  15. -100 -50 E=0 MeV • 80 : 20 • Absorption • (a) from 2p state • (b) from 3d state • Im Vopt : 1body abs. (r term) 2 body abs. (r2 term) • Formation Spectra

  16. Summary • We have studied • Kaonic Nuclei (for light nuclear targets) Kpp and Kpn (T(r=0,E)r(r)) -- Bound state exist in complex E plane -- Peak positions are not corresponding to the binding energy Knn (T(r=0,E)r(r))  no bound states Kpn (T(r,E)r(r)) -- Smooth spectra, no peak. • Kaonic Nuclei ( for 16O) We have found smooth slope in spectra. (good agreement with the latest experimental analysis) • Deeply bound Kaonic Atoms We have found very interesting structure. (no experimental evidence so far) • Comments on Kaon Absorption The strong K-atomic state dependence of the nuclear density probed by atomic kaon. (meanings of the observed ratio of 1 to 2 body abs.)  evaluation of 2 body absorption is very important!!

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