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Deeply-Bound K-Nuclear States

A new paradigm in Nuclear Physics. Atomic states. Nuclear state. K -. DA F NE04 June 8, 2004. Deeply-Bound K-Nuclear States. Yoshinori AKAISHI Akinobu DOTE Toshimitsu YAMAZAKI. Evidence for K - ppn. M. Iwasaki T. Suzuki H. Bhang G. Franklin K. Gomikawa R.S. Hayano T. Hayashi

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Deeply-Bound K-Nuclear States

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  1. A new paradigm in Nuclear Physics Atomic states Nuclear state K- DAFNE04 June 8, 2004 Deeply-Bound K-Nuclear States Yoshinori AKAISHI Akinobu DOTE Toshimitsu YAMAZAKI

  2. 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

  3. _ Few-Body KN Systems S=-1 S=-2 n p p p p p n p n 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

  4. DEAR @ DAFNE

  5. -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

  6. A Chiral Constituent-Quark Model L.Ya. Glozman, W. Plessas, K. Varga & R.F. Wagenbrunn, Phys. Rev. D 58 (1998) 094030. GeV GeV 1.8 1.8 Theor 1.6 1.6 Theor Exp Exp 1.4 1.4 L(1405) S(1385) 1.2 1.2 N D L S 1.0 1.0 Lattice QCD quenched to 3Q H. Suganuma et al.

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

  8. 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.

  9. _ Nuclear KNN bound states S = 0 T = 3/2 Unbound S = 1 T = 1/2 Above the L*+n threshold S = 0 T = 1/2 E = -48 MeV G= 61 MeV

  10. 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.

  11. 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

  12. J.K. Ahn, Nucl. Phys. A721 (2003) 715c

  13. p 1.31 fm On the L(1405) J.K. Ahn, Nucl. Phys. A721 (2003) 715c J.C. Nacher, E. Oset, H. Toki &A. Ramos, Phys. Lett. B455 (1999) 55. M.F.M. Lutz & E.E. Kolomeitsev, Nucl. Phys. A700 (2002) 193.

  14. p p

  15. Nuclearbound state 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 DEcore(Rcore) Hasegawa-Nagata’s NN ~1Gev repulsion E G EK+DEcore EK(Rcore)

  16. 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

  17. K-ppn (unit in MeV) f L(1405) fit K-ppn EK BKppn Gp 20 116 1.00 -108 -i10 Sch Sch 44 20 1.00 K-G K-G 127 -119 -i10 44 K-G K-G -164 -i 6 1.17 172 11 46 GKNN= 12 MeV Sch : Schroedinger K-G : Klein-Gordon M. Iwasaki et al. BKppn=173 4 MeV G < 25 MeV M ~ 3137 MeV/c2

  18. ppnK- DBｔｈ-ex ~ 50 MeV n Chiral restoration ? mK/ f 2 rN(0) = 6.8 r0 K- udd p p Tri-baryon ? _ uud uud us 11 or 9 quarks ? 1.6 fm

  19. 8Be 8BeK- 7 fm Density (/fm^3) 0.0 0.10 0.20 Density (/fm^3) 0.0 0.41 0.83 Dense & Cold AMD calculation by Dote et al.

  20. Normal density 300 MeV Temperature T 5r0 Density r T. Hatsuda &T. Kunihiro, Phys. Rev. Lett. 55 (1985) 158. W. Weise, Nucl. Phys. A443 (1993) 59c.

  21. 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.

  22. Nucleon density distribution pppK- pppnK- ppnK- 3 fm 9BK- 6BeK- 4 fm

  23. Spectral Function 0.0012 pppnK- 0.0008 ppK- 0.0004 pppK- 0 360 400 440

  24. _ _ us us uud uud ppK- ppK- K- 1.36 fm 1.5 fm p p K- 1.90 fm 1.3 fm uuddss Strange deuteron? Jaffe’s H*di-baryon?

  25. 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”

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

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

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

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