カイラル対称性の回復と 中間子の質量変化
DESCRIPTION
カイラル対称性の回復と 中間子の質量変化. 原田正康 (名古屋大). @ 「 J-PARC の物理:ハドロン・原子核 研究の新しい局面」 (KEK, 2008年8月9日). based on M.H. and C.Sasaki, Phys.Rev.D74:114006,2006 M.H., C.Sasaki and W.Weise, arXiv:0805.4792, arXiv:0807.1417. see also M.H. and K.Yamawaki, Phys. Rept. 381, 1 (2003) - PowerPoint PPT PresentationTRANSCRIPT
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@ J-PARC (KEK, based on M.H. and C.Sasaki, Phys.Rev.D74:114006,2006 M.H., C.Sasaki and W.Weise, arXiv:0805.4792, arXiv:0807.1417 see also M.H. and K.Yamawaki, Phys. Rept. 381, 1 (2003) M.H. and C.Sasaki, Phys. Lett. B 537, 280 (2002) M.H., Y. Kim and M. Rho, Phys. Rev. D 66, 016003 (2002). M.H. and C.Sasaki, Nucl. Phys. A 736, 300 (2004) G.E.Brown, M.H., J.W.Holts, M.Rho and C.Sasaki, arXiv:0804.3196
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Origin of Mass?One of the Interesting problems of QCD=
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Origin of Mass = quark condensateSpontaneous Chiral Symmetry Breaking
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QCD under extreme conditions Hot and/or Dense QCD large flavor QCD Chiral symmetry restoration
Tcritical 170 200 MeV rcritical a few times of normal nuclear matter density Nfcritical 5 12 (still asymptotically free)
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-C. Bernard et al. PRD71, 034504 (2005)
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Dropping mass of hadrons
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Experimental data consistent with dropping r/w massAnalysis : R.Rapp and J.Wambach, ANP 25,1 (2000)Exp: G.Agakishiev et al. [CERES], PRL75, 1272 (1995)D.Trnka et al. [CBELSA/TAPS]PRL94, 192303 (2005)
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KEK-PS/E325 in-medium mass modificationmr = m0 (1 - /0) for = 0.09mf = m0 (1 - /0) for = 0.03K.Ozawa et al., PRL86, 5019 (2001)M.Naruki et al., PRL96, 092301 (2006)R.Muto et al., PRL98, 042501 (2007)F.Sakuma et al., PRL98, 152302 (2007)
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These analyses seem to assume the vector dominance (VD). In this talk Effect of the violation of VD (Dilepton in the VM) M.H. and C.Sasaki, Phys.Rev.D74:114006,2006 Effect of the Axial-vector Meson (Dilepton in the standard scenario) M.H., C.Sasaki and W.Weise, arXiv:0805.4792, arXiv:0807.1417 Recent experiments exclude dropping ?NA60 Nucl.Phys.A774:715-718,2006.CERES : Talk given by P. Braun-Munzinger at KIAS-APCTP Workshop 2006-09 HeavyIonMeeting(HIM 2006-09).dropping ??
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Outline1. Introduction2. Dropping and Dilepton Spectra3. Effect of the violation of Vector Dominance (Dilepton in the VM)4. Effect of the Axial-vector Meson (Dilepton in the standard scenario)5. Summary
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2. Dropping AndDilepton Spectra
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CERN/SPS (1995, 1996)
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G.Q.Li, C.M.Ko and G.E.Brown NPA 606, 568 (1996)
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BR scaling mr 0 Rapp-Wambach, 2000
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Dilepton production ratephoton self-energy ~Im
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Im P R ~ Nc = 3
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e+ e- + - (s < 1 GeV dominant) EM form factorIm Im
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Dilepton Production from + - e+ e- Im
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A1 e+ e- ; N* N e+ e- ; H.v.Hees and R.Rapp, NPA806, 339 (2008)
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BR scaling mr 0 Rapp-Wambach, 2000
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New Di-Muon Data from NA60 (PRL 96, 162302 (2006))vacuum dropping ???
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New Di-Electron data from CERESTalk given by P. Braun-Munzinger at KIAS-APCTP Workshop "Relativistic Heavy-Ion Collison : Present and Future" 2006-09 HeavyIonMeeting(HIM 2006-09).
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H.v.Hees and R.Rapp, NPA806, 339 (2008)1GeV 4 mode (
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J.Ruppert, C.Gale, T.Renk, P.Lichard and J.I.Kapusta, PRL100, 162301 (2008)
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(H.v.Hees and R.Rapp, hep-ph/0604269)
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intrinsic broadening (QCD sum rule)J.Ruppert, T.Renk and B.Mueller, PRC 73, 034907 (2006)
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intrinsic broadening (QCD sum rule)J.Ruppert and T.Renk, EPJ C49, 219 (2007) T
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(e+ e- + - )
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T > Tf ~ 0.7 Tc G.E.Brown, C.H.Lee and M.Rho, PRC74, 024906 (2006); NPA747, 530 (2005)(H.v.Hees and R.Rapp, hep-ph/0604269) T < Tf G.E.Brown, MH, J.W.Holts, M.Rho, C.Sasaki, arXiv:0804.3196
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4. Effect of the Violation of Vector Dominance(Dilepton in the VM)
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Quark Structure and Chiral representation coupling to currents and densitieslongitudinal components A1
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Hybrid Scenario (, A1, ) : m = mA1 = m = m : m m , A1 : mA1 m , : m m , A1 : m mA1 dropping mass
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Hybrid Scenario (, A1, ) : m = mA1 = m = m : m m , A1 : mA1 m , : m m , A1 : m mA1 dropping mass
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in the Vector Manifestation (VM)MH and C.Sasaki, PLB537, 280 (2002); NPA736, 300 (2004); PRD74, 114006 (2006) HLS Theory dropping mass
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Intrinsic T dependence
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VMVM with VDT = 0.75 Tc VM ~ VM with VD / 2T = 0.8 Tc VM ~ VM with VD /1.8 Tc A1
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5. Effect of the Axial-vector Meson(Dilepton in the standard scenario)
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dropping massHybrid Scenario (, A1, ) : m = mA1 = m = m : m m , A1 : mA1 m , : m m , A1 : m mA1 dropping A1 & masses
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A model including scalar, , , A1MH, C.Sasaki and W.Weise, arXiv:0805.4792, arXiv:0807.1417, & work in progress A1 and without A1(1260) Dilepton A1 (Standard Scenario for Chiral Restoration)Based on the generalized hidden local symmetry (EFT for , , A1) Partial linearization including scalar meson
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V-A mixing e+e-e M.Dey, V.L.Eletsky and B.L.Ioffe, PLB252, 620 (1990) cf: H.v.Hees and R.Rapp [NPA806, 339 (2008)] multi-pion
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A1 Intrinsic T dependence
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A1A1ImGv e-e+A1+e-e+A1
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V-A mixing Tc
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e-e+A1+e-e+A1
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V-A mixing Tc
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J.Ruppert, C.Gale, T.Renk, P.Lichard and J.I.Kapusta, PRL100, 162301 (2008) H.v.Hees and R.Rapp, NPA806, 339 (2008) A1
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A1 with A1 work in progress M.H., C.Sasaki and W.Weise
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6. Summary , A1, CERN/NA60 Dilepton VM T > Tf ~ 120MeV dropping T < Tf dropping A1 standard dropping A1 V-A mixing dropping A1 V-A mixing T=Tc CERN/NA60 dropping A1 dropping A1 with dropping A1
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A1 Im Dv Im Da
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dropping QCD sum rule :T.Hatsuda and S.H.Lee, PRC46, R34 (1992)T.Hatsuda, Quark Matter 91 [NPA544, 27 (1992)] dropping - mixing dropping e.g.: S.H.Lee, talk at YKIS06 [PTPS168, 535 (2007)]J-PARC P16: Electron pair spectrometer at the J-PARC 50-GeV PS to explore the chiral symmetry in QCD