Unique Feature and Perspectives of Nuclear K Bound Systems K-K- Atomic states Nuclear state Chiral05 Feb. 17, 2005 Yoshinori AKAISHI, Akinobu DOTE and.

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Presentation transcript:

Unique Feature and Perspectives of Nuclear K Bound Systems K-K- Atomic states Nuclear state Chiral05 Feb. 17, 2005 Yoshinori AKAISHI, Akinobu DOTE and Toshimitsu YAMAZAKI _

Few-Body KN Systems _ Strange baryon Di-baryon Tri-baryon Tetra-baryon Strange heavy nucleus Strange matter pp p p p n n p p n p p n S=-1 S=-2 p  K _ = p p   = H*? DA  NE1999 Y. Akaishi & T. Yamazaki Kaplan-Nelson Brown-Rho

DA  NE K  X-ray 1S 2P

KN interaction MeV -285 MeV -436 MeV -412 MeV none KpX Iwasaki et al. (1997) Martin (1981) p+K - n+K 0 -  (1405) -++-++ ++-++- 0+00+0 +0+ (MeV)

L.Ya. Glozman, W. Plessas, K. Varga & R.F. Wagenbrunn, Phys. Rev. D 58 (1998) A Chiral Constituent-Quark Model Lattice QCD quenched to 3Q H. Suganuma et al. Theor Exp N  GeV GeV  (1405) Exp Theor  (1385) 

no  (1670) Funabashi potential : M. Wada, M. Obu, S. Shinmura

Chiral SU(3) Dynamics T. Waas, N. Kaiser & W. Weise, Phys. Lett. B379 (1996) K+K+ K-K- 200 MeV  /100 MeV Tomozawa-Weinberg 7 times Chiral symmetry NN KN - Isoscalar

Nuclear KNN bound states _ T = 3/2 Unbound T = 1/2 Above the  + n threshold T = 1/2 E = -48 MeV  = 61 MeV S = 0 S = 1 S = 0 obtained from 3-body variational calculation V T=0

Structure of ppK - pp K-K fm rms distance 1.36 fm fm r fm 3.90 fm rms distance T. Yamazaki & Y. Akaishi, Phys. Lett. B535 (2002) 70.

K - + p 123 r fm MeV  (1405) ++ ++ K - + pp 123 r fm MeV ++ ++ K He 123 r fm MeV ++ ++

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) fm p

   KN   Chiral dynamics of two  (1405) states D. Jido, J.A. Oller, E. Oset, A. Ramos & U.-G. Meissner, Nucl. Phys. A 725 (2003) 181 Experimental check !

pp T. Yamazaki & Y. Akaishi, Phys. Lett. B535 (2002) 70.  (1405) Doorway State

123 r fm MeV ++ (-69, 66) MeV (-86, 32) MeV Nuclear bound state 1.47 fm Free R core fm MeV  E core (R core ) E K (R core ) E K +  E core Hasegawa-Nagata’s NN ~1Gev repulsion E  Y. Akaishi & T. Yamazaki, Phys. Rev. C 65 (2002) Shrinkage !

MeV T n MeV ４ He ( stopped K -, n) Branching ~2% M. Iwasaki et al., Nucl. Inst. Meth. A473 (2001) 286. K He T = 1 T = MeV E K MeV d+  - +   d+  + +   d+  - +  

Evidence for K - ppn Oct.16, 2003 M. Iwasaki et al. 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 nucl-ex/ from 4 He(stopped K -,n)

ppnK - udd uud us _ 11 or 9 quarks ? What structure? Challenging problem ! Meson-baryon ? pp n K-K- 1.5 fm  N (0) = 8.9  0   av =3.1  0 Y. En’yo et al.,  fm Exp.  B ｔｈ -ex ~ 60 MeV Chiral restoration ? Relativistic effect ? m K / f 2

Atomic systems by point-Coulomb interaction [MeV] Z Schroedinger Dirac Klein-Gordon Z  =1 -mc 2 =-494 MeV m X

Klein-Gordon equation Atomic state Deeply bound state

K - -p  (1405) K - -ppn S 1 (3140)   V 0  s  Sch -581 unbound K-G(s) K-G(v) Sch K-G(v) [MeV] Mapping

SS Relativistic effect Kaon condensation   RC (MeV)  T RC  RC (MeV) (Virial)

[MeV] 12 r [fm] Separation energy Binding energy “Separating” pot. “Binding” pot. 50 _ _ _ (Effective KN int. with enhancement by 9%) Bare KN int. with enhancement by 15 % [MeV] 1 23 r [fm] -5 [MeV] -23 Relativistic effect UK(r)UK(r) Without shrinkage With shrinkage Bare KN int. without enhancement Core polarization due to shrinkage r Core Exp = -161

A. Dote et al., Phys. Rev. C70 (2004) NN LS potential effect 3 P 2 pairing N(0s) 2 (0p) K _ N(0s) 3 K _ T=1 T=0 T=1 T=0 T=1 T=0 T=2

Observe all. Exciting ! pppK - ppnK - pnnK MeV N(0s) 3 K N(0s) 2 (0p) K -97 MeV -135 MeV -126 MeV Bare KN interaction enhanced by 15% _ _ _ -194 MeV( obs.) 3/2 + T=1 1/2 + T 3 =1 T 3 =0 T 3 =-1 Relativistic effect -169 MeV (obs.) T=0,1/2 -

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 Discovery of S 0 (3115) in 4 He(stopped K -,p)K - pnn Phys. Lett. B597 (2004) 263 Press release on Aug. 24, 

4 He( stopped K -, n) 4 He( stopped K -, p) S 0 (3115)? S 1 (3140)? S 0 (3115) -194 MeV( obs.) 3/2 + T=1 1/2 + T=0,1/2 -

Spectra from (  +,K + ) Reaction P  =1.5 GeV/c Green’s function method O. Morimatsu & K. Yazaki, Nucl. Phys. A435 (1985) 727

Relativistic effect SS Kaon condensation   RC [MeV] [MeV] ppn-K - pnn-K - T=0 1/2 - T=1 3/2 +

Nona-Quark States Y. Maezawa, T. Hatsuda & S. Sasaki, Hep-ph/ Color-magnetic interaction MIT bag: R 9 =1.3 fm S 1 (3140) S 0 (3115) Search !

ppnK - pp n K-K fm  N (0) = 8.9  0   av =3.1  fm 9-quark ? or 11-quark ? (kaonic nucl.) 1.31 fm p  (1405) 3-quark ? or 5-quark ?

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

pppnK - pppK - ppK - Spectral Function  * Q.F Arbitrary unit

8 Be 8 BeK - 7 fm Density (/fm^3) Density (/fm^3) A ntisymmetrized M olecular D ynamics calculation A. Dote, H. Horiuchi, Y. Akaishi & T. Yamazaki, Phys. Lett. B590 (2004) 51. Dense & Cold

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. 300 MeV 5050 Temperature T Density  Normal density

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

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

ppnK -  + d K-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 ppK -  + p

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

S=0 nucleiS=-1S= Excitation energy (MeV) Nuclei of 2 nd generation The s quark plays a leading role in forming a dense and cold nucleus. A new paradigm of Nuclear Physics T. Yamazaki et al. An epoch-making milestone has been obtained by T. Suzuki, M. Iwasaki et al.