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Strangeness Hadrons in Few-Body Nuclei

Deeply bound kaonic states. Atomic states. Nuclear state. K -. MENU Sept. 3, 2004. Strangeness Hadrons in Few-Body Nuclei. Yoshinori AKAISHI, Akinobu DOTE and Toshimitsu YAMAZAKI. _. Few-Body KN Systems. S =-1. S =-2. n. p. p. p. p. n. n. p. p. p. p. n. p. p. p. p.

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Strangeness Hadrons in Few-Body Nuclei

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  1. Deeply bound kaonic states Atomic states Nuclear state K- MENU Sept. 3, 2004 Strangeness Hadrons in Few-Body Nuclei Yoshinori AKAISHI, Akinobu DOTE and Toshimitsu YAMAZAKI

  2. _ Few-Body KN Systems S=-1 S=-2 n p p p p n n p p p p n p p p p Strange baryon = Di-baryon = H*? Tri-baryon L* L* L* Tetra-baryon _ K Strange heavy nucleus Strange matter DAFNE1999 Y. Akaishi & T. Yamazaki

  3. DEAR @ DAFNE

  4. -436 MeV -412 MeV none -62 MeV -285 MeV -285 MeV - KN interaction - n+K0 5.3 0 p+K- Martin (1981) -27 L(1405) S-+p+ -94.9 -103.0 S++p- -104.4 KpXIwasaki et al. (1997) S0+p0 (MeV) L+p0 -181.3

  5. Optical potential K- atom _ K nucleus No Pauli exclusion for t-matrix: for g-matrix: for E= -110 MeV

  6. Chiral symmetry - KN 1.5 K+ K- 1.0 200 MeV 7 times 0.5 G/100 MeV Tomozawa-Weinberg 0.0 0 1 2 3 Chiral SU(3) Dynamics T. Waas, N. Kaiser & W. Weise, Phys. Lett. B379 (1996) 34. pN Isoscalar

  7. Shallow optical potential Deep optical potential J. Schaffner-Bielich, V. Koch & M. Effenberger, Nucl. Phys. A669 (2000) 153. A. Ramos & E. Oset, Nucl. Phys. A671 (2000) 481. A. Cieply, E Friedman, A. Gal & J. Mares, Nucl. Phys. A696 (2001) 173. V0+iW0= -50 –i60 MeV V0+iW0= -120 –i10 MeV Y. Akaishi & T. Yamazaki, Phys. Rev. C65 (2002) 044005. N. Kaiser, P.B. Siegel & W. Weise, Nucl. Phys. A594 (1995) 325.

  8. _ Nuclear KNN bound states obtained from 3-body variational calculation. S = 0 T = 3/2 Unbound S = 1 T = 1/2 Above the L(1405) + n threshold S = 0 T = 1/2 E = -48 MeV G= 61 MeV

  9. Structure of ppK- 0.8 fm-3 1.36 fm 0.6 K- p p 0.4 1.90 fm rms distance 0.2 3.90 fm rms distance 0.0 0 2 4 6 r fm 8 T. Yamazaki & Y. Akaishi, Phys. Lett. B535 (2002) 70.

  10. K- + pp K- + p K- + 3He MeV MeV MeV r fm r fm r fm 1 2 3 1 2 3 1 2 3 0 0 0 L(1405) -50 -50 -50 S+p S+p S+p L+p L+p L+p -200 -200 -200 -300 -300 -300 -400 -400 -400 -500 -500 -500

  11. p p T. Yamazaki & Y. Akaishi, Phys. Lett. B535 (2002) 70.

  12. Shrinkage ! 40 rfm MeV 30 1 2 3 0 20 (-69, 66) MeV S+p 10 (-86, 32) MeV -100 0 1.0 1.2 1.4 1.6 -60 -70 -200 -80 1.47 fm Free MeV -90 -300 -100 -110 Rcore fm -400 -120 1.0 1.2 1.4 1.6 Nuclear bound state DEcore(Rcore) Hasegawa-Nagata’s NN ~1Gev repulsion E G EK+DEcore EK(Rcore) Y. Akaishi & T. Yamazaki, Phys. Rev. C 65 (2002) 044005

  13. EK MeV M. Iwasaki et al., Nucl. Inst. Meth. A473 (2001) 286. K- + 3He 0 ４He (stopped K-, n) T = 1 -50 Branching ~2% 50 d+S-+p+ d+S++p- -100 -108 MeV 15 MeV 70 90 T = 0 -150 Tn MeV d+L-+p0

  14. Evidence for K-ppn M. Iwasaki T. Suzuki H. Bhang G. Franklin K. Gomikawa R.S. Hayano T. Hayashi K. Ishikawa S. Ishimoto K. Itahashi T. Katayama Y. Kondo Y. Matsuda T. Nakamura S. Okada H. Outa B. Quinn M. Sato M. Shindo H. So T. Sugimoto P. Strasser K. Suzuki S. Suzuki D. Tomono A.M. Vinodkumar E. Widmann T. Yamazaki T. Yoneyama from 4He(stopped K-,n) Oct.16, 2003 M. Iwasaki et al. nucl-ex/0310018

  15. ppnK- Theor. 20 -108 Exp. n rN(0) = 8.9 r0 rNav=3.1r0 K- p p udd Tri-baryon ? DBｔｈ-ex ~ 60 MeV _ uud uud us Chiral restoration ? 1.5 fm mK/ f 2 11 or 9 quarks ? Challenging problem !

  16. r fm 1 2 3 0 -5 MeV -100 -23 MeV -200 -37 MeV Relativistic effect -300 proportional to e 2 -400 _ K-NNN potential -500 17% enhanced KN bare int. -600 _ MeV _ (9% enhanced KN effective int.) Without shrinkage With shrinkage

  17. KN enhanced by 17% -133 -132 Relativistic effect -170 T=0,1/2- T=1, 3/2+ Observe all. -193 MeV Exciting! N(0s)2(0p)K- N(0s)3K- -103 MeV -97 MeV “pnnK-” “pppK-” “ppnK-”

  18. 4He(stopped K-, p) pnnK- p momentum

  19. Press release on Aug. 24, 2004 Discovery of S0(3115) T. Suzuki H. Bhang G. Franklin K. Gomikawa R.S. Hayano T. Hayashi K. Ishikawa S. Ishimoto K. Itahashi M. Iwasaki T. Katayama Y. Kondo Y. Matsuda T. Nakamura S. Okada H. Outa B. Quinn M. Sato M. Shindo H. So P. Strasser T. Sugimoto K. Suzuki S. Suzuki D. Tomono A.M. Vinodkumar E. Widmann T. Yamazaki T. Yoneyama in 4He(stopped K-,p)K-pnn Phys. Lett. B597 (2004) 263 13s

  20. 8Be 8BeK- 7 fm Density (/fm^3) 0.0 0.10 0.20 Density (/fm^3) 0.0 0.41 0.83 Dense & Cold AntisymmetrizedMolecularDynamics calculation A. Dote, H. Horiuchi, Y. Akaishi & T. Yamazaki, Phys. Lett. B590 (2004) 51.

  21. Normal density 300 MeV Temperature T 5r0 Density r T. Hatsuda &T. Kunihiro, Phys. Rev. Lett. 55 (1985) 158. M. Lutz, S. Klimt & W. Weise, Nucl. Phys. A542 (1992) 52. W. Weise, Nucl. Phys. A553 (1993) 59c.

  22. Nuclear Phase Diagram Temperature Quark-gluon plasma Tricritical point 150 MeV Hadrons Liquid-gas Color superconductor (2SC), (CFL) Dense & cold Chemical potential Nuclei Color forromag. A. Iwazaki et al.

  23. _ _ us us uud uud ppK- ppK- K- 1.36 fm K- 1.5 fm p p K- 1.90 fm 1.3 fm uuddss Strange deuteron? Excited H*di-baryon? P. Kienle T. Yamazaki

  24. ppK- L + p ppnK- L + d K- Cold & dense fragments Heavy-Ion Reaction ~10A GeV High-density environment provided by HI fireball Invariant-mass spectroscopy for their decays “Decay-channel spectroscopy” T. Yamazaki Phys. Lett. B587 (2004) 167

  25. FOPI at GSIfrom Kutsche (PhD) 1999 Superb L identification

  26. A. Andronic and P. Braun-Munzinger, priv.comm., Oct.17, 2003 ----> GSISIS100/300: best place

  27. _ Nuclear K bound state Mini strange matter _ K plays a role of“contractor”. A new means to investigate hadron dynamics in dense&cold matter Production-/Decay- channel spectroscopies Chiral restoration? Color superconductivity? Kaon condensation? Strange hadronic/quark matter? KEK DAFNE SPring-8 GSI J-PARC Concluding Remarks _ Few-body K nuclear systems would provide experimental data of fundamental importance for hadron physics with strangeness.

  28. Meson-nucleon systems of 2nd generation Excitation energy (MeV) 500 400 300 200 100 0 S=-2 S=-1 S=0 nuclei

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