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Evidence for Exotic Mesons Belle Workshop on light flavors & chiral dynamics 北 大 Sept 29-30,2007 Stephen Olsen U. of Hawai’i & 高能所 北京 BaBar
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X(3872) Y(4260) X(3940) Y(3940) Y(4325) Y(4660) X(4160) Y(4008) Y(4780) Z(4430) Talk outline
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Constituent Quark Model (CQM) (& 6 antiquarks) Mesons: qq c:c: c +2/3 c:c: C -2/3 + : s -1/3 s +1/3 c -2/3 u -2/3 b +1//3 u +2/3 - : b -1/3 S =1/3 b +1/3 t -2/3 c +2/3 b -1/3 t +2/3 6 quarks Baryons: qqq u -2/3 d +1/3 s +1/3 u +2/3 d -1/3 s -1/3 Gell-Mann Zweig
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Fabulously successful mesons q q
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QCD suggests non-qq meson spectroscopies Glueballs: gluon-gluon color singlet states Multi-quark mesons: molecules: diquark-antidiquark: qq-gluon hybrid mesons d c d c cc d c dc
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Searching for non-QPM hadrons is a risky business
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Remember the pentaquark T.Nakano et al (LEPS) PRL 91 012002 (2003) 742 citations + (1530)? forget
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You never can be sure: or something else. Is mother nature is smiling at you?
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The XYZ mesons: candidates for non-qq states cc uc u c 4 quark candidates (from Belle) “hybrid” qq-gluon candidates (from Babar & Belle)
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Charmonium is of particular interest because it is an especially good system to use to search for non-qq mesons
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a cc meson has to fit into one of these slots: If it doesn’t, it is a good candidate for a non qq meson
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B-factories produce lots of cc pairs 0 -+, 1 - - or 1 ++ 0 -+, 0 ++, 2 ++ C =+ states 1 - - only
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Lots new on the “XYZ” particles X(3872) – J/ in B K J/ Z(3930) –DD in DD Y(3940) – J/ in B K J/ X(3940) – e + e - J/ X & e + e - J/ DD* Y(4260) – J/ in e + e - J/ Y(4325) – + - ’ in e + e - + - ’ Y(4008)? Y(4250) Y(4370) Y(4660) X(3880) DD - e + e - J/ DD X(4160) D*D* - e + e - J/ D*D* Z + (4430) + - B K + ’ New Belle/BaBar results: (Summer 2007) Status spring 2007: confirmed by BaBar updated by Belle
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I’ll concentrate on recent results.
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X(3872) >300 citations
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X(3872) properties (PDG2007) M D0 + M D*0 = 3.871.8 ± 0.4 MeV
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M( ) looks like 2 / dof = 43/39 (CL=28%) kinematic limit≈m PRL 96 102002 CDF Belle Belle & CDF: J PC = 1 ++ most likely
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What’s new with the X(3872)? BaBar confirms Belle’s DD threshold enhancement Mass is 3.8 ± 1.2 MeV above WAvg X(3872) J/ mass; (~3 is this significant? Both groups see a high mass value
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Belle’s B K S X & B K ± X comparison M = 0.22 ± 0.90 ± 0.27 MeV K S modeK ± mode “molecular” models predicted this to be <<1 (Braaten et al PRD 71 074005) “diquark-antidiquark” models predicted this to be 8±3 MeV (Maiani et al PRD 71 014028) Confirms an earlier BaBar result
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Is there a cc slot for the X(3872)? 3872 r J/ too small r ( J/ ) too big 1 ++ ( c1 ’) c J/ ispin forbidden D 0 D 0 0 @ thresh.suppressed B Kcc(J=2) suppressed 2 -+ ( c2 )
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Y(3940) in B K J/ M≈3940 ± 11 MeV ≈ 92 ± 24 MeV Belle PRL94, 182002 (2005) M( J/ ) MeV M 2 (K ) GeV 2 M 2 ( J ) GeV 2
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Y(3940) properties Belle PRL94, 182002 (2005) M( J/ ) MeV (Y 3940 J/ > 7 MeV (an SU F (3) violating decay) ~ this is 10 3 x ( ’ J/ (another SU F (3) violating decay) if the Z(3930) is the c2 ’ the Y(3940) mass is too high for it to be the c1 ’
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Confirmed by BaBar this summer B ± K ± J/ B 0 K S J/ M 2 (K ) J ) ratio Some discrepancy in M & ; general features agree G.Cibinetto EPS-2007
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Is there a cc slot for Y(3940) ? Can M( c1 ’)>M( c2 ’)? c1 ’ Mass is low c”c” “ “ c0 ’ 3940 3931 For any charmonium assignment, [Y(3940) J/ is too large.
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Belle updates e + e - J/ D ( * ) D ( * ) D(*)D(*) Use “partial reconstruction technique” reconstruct these J/ D(*)D(*) “Recoil” D ( * ) undetected (inferred from kinematics) Continuum e + e - annihilation e+e+ e-e-
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J/ D ( * ) recoil mass J/ DD J/ DD* J/ D*D* J/ DD* Partial reconstruction reconstruct Belle arXiv:0708.3812
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M(DD*): Confirm X(3940) DD* D-reconstructed D * -tag D sidebands 6.0 Bg subtracted M = 3942 +7 ± 6 MeV tot = 37 +26 ±12 MeV Nsig =52 +24 ± 11evts -6 -15 -16 Previous values: M = (3943 ± 6 ± 6) MeV = (15.4 10.1) MeV < 52 MeV at 90%CL PRL 98, 802001 (2007) arXiv:0708.3812
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Is there a cc slot for X(3940) ? Mass is > M( c2 ’) & no c1 recoil seen c1 ’ Mass is ~ 60 MeV low (if (3S) = (4040)) c”c” c0 ’ 3940 3931 Mass is > M( c2 ’) & DD decays not seen Maybe the c ”
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M(DD): Broad threshold enhancement arXiv:0708.3812 Relativistic BW D sidebands D-reconstructed D-tag 3.8 Bg subtracted Resonance? Thresh effect? … ?
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M(D*D*) a new state at ~4160 MeV D*-reconstructed + D*- tag 5.5 M = 4156 +25 ± 15 MeV tot = 139 +111 ± 21MeV Nsig =24 +12 ± 11evts -20 -61 -8 arXiv:0708.3812 It has to have C=+; most likely 0 -+,... possibly 0 ++ if 0 ++, why is it not seen in DD
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A cc assignment for X(4160) ? Mass is far too low (unless (4S)= (4160), but, then, where is (2D?)) c ’’’ Mass is too high (if (3S)= (4040)) or too low (if (3S) = (4160)) c”c” 3940 3931 Can place either the X(3940) or X(4160), but probably not both.
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The 1 -- states seen in ISR
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e + e - isr Y(4260) at BaBar 233 fb -1 Y(4260) BaBar PRL95, 142001 (2005) ~50pb M=4259 8 +2 MeV = 88 23 +6 MeV -6 -9 fitted values:
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Not seen in e + e - hadrons (Y4260 J/ ) > 1.6MeV @ 90% CL X.H. Mo et al, PL B640, 182 (2006) 4260 BES data ~3nb peak Y(4260) + J/ pb Huge by charmonium standards
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“Y(4260)” at Belle (New) M=4247 12 +17 MeV = 108 19 ± 10 MeV -32 M=4008 40 +114 MeV = 226 44 ± 87 MeV -28 ??? C.Z Yuan et al (Belle) arXiv:0707.2541 To appear in PRL M=4259 8 +2 MeV = 88 23 +6 MeV -6 -9 BaBar values: Resonance? Thresh effect? …?
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M( ) near 4008 & 4260 MeV 3.8 < M( J/ ) <4.2 GeV 4.2 < M( J/ ) <4.4 GeV
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No 1 -- cc slot for the Y(4260) 4280 4260 X.H. Mo et al, hep-ex/0603024
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Is the Y(4260) a cc-gluon hybrid? cc qq-gluon excitations predicted 30 yrs ago lowest 1 -- cc-gluon mass expected at ~4.3 GeV relevant open charm threshold is D**D (~4.28 GeV) ( J/ ) larger than that for normal charmonium (e + e - ) smaller than that for ordinary charmonium Horn & Mandula PRD 17, 898 (1977) Banner et al, PRD 56, 7039 (1997); Mei & Luo, IJMPA 18, 15713 (2003) Isgur, Koloski & Paton PRL 54, 869 (1985) McNeile, Michael & Pennanen PRD 65, 094505 (2002) Close & Page NP B443, 233 (1995) Y(4260) seems to match all of these !!!
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DD** thresholds in & “Y(4260)” 4.28-m D D** spectrum M( J/ ) GeV No obvious distortions D1DD1D D2DD2D
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BaBar ’ peak at 4325MeV Nbkg = 3.1 1.0 Nevt = 68 (<5.7 GeV/c 2 ) 2 -prob < 5.7 GeV/c 2 Y(4260) 6.5 10 -3 (4415)1.2 10 -13 Y(4320)29% e + e - ISR ’ M=4324 24 MeV = 172 33 MeV above all D**D thresholds S.W.Ye QWG-2006 June 2006 Not Compatible with the Y(4260) D1DD1D D2DD2D 298 fb -1 (BaBar) hep-ex/0610057 BaBar PRL 98 252001 (2007)
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4325 MeV ’ peak in Belle (new) M=4324 24 MeV = 172 33 MeV 548 fb -1 X.L. Wang et al (Belle) arXiv:0707.3699 Two peaks! M=4664 11 ± 5 MeV = 48 15 ± 3 MeV M=4361 9 ± 9 MeV = 74 15 ± 10 MeV BaBar values (both relatively narrow) (& both above D**D thresh) (& neither consistent with 4260) 4260
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Y(4660) f 0 (980) ’? 4.0 < M( ’ ) <4.5 GeV4.5 < M( ’ ) <4.9 GeV f 0 (980)?
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K + K - J/ from Belle (very new) C.Z.Yuan et al (Belle) arXiv:0709.2565 (4415)? M=4875 132 MeV = 630 126 MeV M=4430 +38 MeV = 254 +55 MeV 4260 -43 -46
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M(K + K - )
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Latest News electrically charged!!
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M( ± ’) from B K ± ’ M 2 (K ) GeV 2 M 2 ( ’ ) GeV 2 K. Abe et al (Belle) arXiv:0708.1790 K* K K 2 * K Veto M( ’ ) GeV 6.5 M = 4433 ± 4 ±1 MeV tot = 45 +17 +30 MeV Nsig =124 ± 31evts -13-11
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Could this be a reflection from the K channel?
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Cos vs M 2 ( ’ ) 16 GeV 2 22 GeV 2 M 2 ( ’) +1.0 cos M ( ’) & cos are tightly correlated; a peak in cos peak in M( ’) (4.43) 2 GeV 2 0.25 ’’ K
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Can interference between K partial waves produce a peak? Only S-, P- and D-waves seen in data interfere Add incoherently
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Can we make a peak at cos ≈0.25 with only S-, P- & D-waves? Not without introducing other, even more dramatic features at other cos (&, , other M ’ ) values.
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Comments on the Z + (4430) Not a reflection from the K system ~ No significant signal in B K J/ It has non-zero charge not cc or hybrid Mass, width & decay pattern similar to Y(4360) & Y(4660)
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conclusions There seems to be a new hadron spectroscopy in the M=3.5~5 GeV region –Maybe more than one –Bodes well for BESIII, Super-B factories & PANDA Some states are narrow even though they are far above decay thresholds –e.g. Y(4660) ’ & Z + (4430) ’ have large Q but ≈50 MeV characterized by large partial widths (Bfs) to hadrons+J/ (or ’) – Br(X(3872) J/ ) > 4.3% (Isospin=1) – (Y(3940) J/ ) > 7 MeV (SU(3) octet) – (Y(4260) J/ ) > 1.6 MeV States that decay to ’ not seen decaying to J/ (and vice-versa) –Bf(Y(4660) ’) >> Bf(y(4660) J/ ) same for Y(4360) & Z(4430 ’ –Y(4260) not seen in Y(4260) ’ The new 1 -- states are not apparent in the e + e - D ( * ) D ( * ) cross sections There is no evident transitions at the D**D mass threshold (mine)
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New 1 -- states J/ J/ ’ ’
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some of the states are near thresholds, but this is not a universal feature D S D S thresholdsDD thresholds
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D*D* DD* DD tot Y(4660)Y(4360) Y(4260) Y(4008) The 1 -- states do not match well to peaks in hadr. cross-sections Pakhlova (Belle) PRL 98, 092001 (2007)
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Lots of pieces Y(4360) Y(4660) Y(4260) Y(4008) X(3872) X(3940) X(4160) Z(4430) Y(3940) Are they all from the same puzzle?
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謝謝
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Inclusive B Kx from BaBar ? Fully reconstructed B - tags
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M 2 ( ’ ) / cos plot 1.0< M(K )<1.4 GeV Our attempts to fit the M=4.43 GeV (cos =0.25) peak with any combination of S-, P- & D-waves
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BaBar looked for a charged partner of the X(3872) and excluded isospin 1: BF(B 0 X - K + ) BF(X J/ψ - 0 ) < 5.4 x 10 -6 BF(B - X - K 0 ) BF(X J/ψ - 0 ) < 2.2 x 10 -5 c.f BF(B 0 X 0 K+ ) BF(X 0 J/ψ -- + ) =(1.28 0.41 ) x 10 -5
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