Hadronic Physics and Exotics. Hanna Mahlke Cornell University EPS/HEP2007 July 19-25, 2007 Manchester, England

Transcription

1 Hadronic Physics and Exotics Hanna Mahlke Cornell University EPS/HEP2007 July 19-25, 2007 Manchester, England

2 Insight into what holds hadrons together access to the strong force Hadrons come in many different shapes and sizes access to different manifestations of the strong force Hadron spectroscopy and decay as a study ground for QCD Compare expected system of states (mesons, baryons, glueballs, ) against observations Observables: masses, widths, decay dynamics New observations just as important as comprehensive surveys and planning for the unexpected, too! Unless a heavy-system decay, this is non-perturbative QCD. 2

3 3-step program to make headway on Route QCD (1) (2) FIND SORT (3) Search for the expected Observe the unexpected Systematically probe properties: Confirmation Cross-check Anti-checks Categorize within the framework Perform precision studies Deviations from expectation? Back to (1)! Example: A new state is seen Study production and decay in different and in similar production and decay scenarios Assign a place in the system of states Leaving out (2) gets you a ticket! This talk: Examples from all three categories. 3

4 Q=c,b q=u,d,s Overview Two heavy quarks Q Q General goal: Explore QCD phenomena at different scales ψ(2s) width J/ψ, χ cj decay to light q B decay to charmonium States above DD threshold Charmonium-like states One heavy quark Q q Zero heavy quarks q q This talk: mostly mesons, but many new results on baryons as well. See list of topics at the end. 4

5 (QQ) States Study system of states, governed by underlying binding force: strong force. Charmonium and bottomonium very similar. (bb): less relativistic (cc): more data available? Masses? Widths? Production and decay dynamics Notation: n 2S+1 L J J=L+S 2m B L=0 L=1 L=2 2m D η Q 4 3 S 1 ψ, ϒ χ Q n=3 n=2 n=1 Partly discovery, partly precision measurements This summer mostly charmonium results. h Q J/ψ: 3.10 GeV ϒ(1S): 9.46 GeV Δ (1 3 S 1,2 3 S 1 ) ~ 600 MeV 5

6 ψ(2s) width measurements BES scan: ψ(2s) hadrons π + π J/ψ μ + μ 4MeV BES, PLB 550, 24 (2002) E CM (GeV) E835 (pp): beam energy spread is ~ψ(2s) width, can directly observe the line shape BES (e + e - ): beam energy spread is O(MeV), can measure width through effect on observed crosssections E835 FWHM is MeV! E835, pp e + e - (X): directly E CM (GeV) E835, hep-ex/ MeV Γ total : Different methods, different channels, consistent results BES 02 E385 through J/ψ 6

7 χ cj h + h - h 0 π 0 π + π - π 0 π 0 M(4hadrons) (GeV/c 2 ) K + K - π 0 π 0 ppπ 0 π 0 K + K - ηπ 0 K ± π K S π 0 ± Clear signals seen Survey of four-body decays Resonant substructure is important for 4π and KKππ, (ρππ or K*Kπ or KKρ or...) Branching fractions and contributions from intermediate resonances determined Isospin relations: ρ + π π 0 = ρ 0 π + π? K*Kπ modes: Expect 1:2 see talk by D. Cassel at this conference 7

8 Phys. Rev. Lett. 97 (2006) and talk by J. Chen at this conference 10.6k events K*(892) K * (1410) X(1580) Observation of a broad 1 resonance in J/ψ K + K - π 0 K*(892) Fit result C-parity cons: X should have J PC =1 --, 3 --, PWA results: Need K * (892), K * (1410), ρ(1700), X, non-res. using rho excitations to describe signal doesn t work Big destructive interference among X, ρ(1700) and phase space ( hole in the middle of the Dalitz plot) 1 is much better than Pole position of X ( ) i( ) MeV/c Br (J/ψ Xπ, X K K ) = (8.5 ± 0.6 ) component J/ψ π + π - π 0 Further check: K S K +/- π -/+ Width(X)» width(ρ(1450), ρ(1700)): 4-quark state? 8

9 BABAR-CONF-07/001, SLAC-PUB S. Tosi, talk at this conference K S K + π,k + K - π 0 Production: B η c K(*), h c K(*) γη c Goal: insight into production mechanisms of B cc, comparison btw different cc b ccs produces η c, J/ψ (B~0.1%) and χ c1 B~ % (and excitations) but not h c,χ c0, χ c2, need other mechanism Prediction: h c,χ c0, χ c2 + K(*) as copious as χ c1 + K(*) χ c0 + K(*) ~ 10-4 χ c2, h c + K(*): UL ~ 10-5 Uncertainty reduced by 50% Confirms h c suppression in B decays confirms Belle First limit Godwin et al., PRD 51, 1125 (1995) B 0 (KKπ) K* 0 η c J/ψ η c K* 0 (6.1 ±0.8 ± 0.8 ± 0.9) 10-4 h c K + h c η c γ h c K *0 h c η c γ m(kkπ(γ)) spectra after subtraction of background BaBar preliminary < < B + (γkkπ) K + h c B 0 (γkkπ) K* 0 h c 9

10 production of hadrons in e + e - scatt. Observed & Predicted States DD threshold States not accessible in e + e - can be reached through transitions, in pp, or in γγ production a systematic approach to identify the missing states is needed. Mass of charmonium states (GeV) 10

11 Re-analysis of BES R data and extraction of charmonium resonance parameters [*] BES, arxiv: [hep-ex], subm to PLB Resonance properties: R R res =R BW +R int Center-of-mass energy, GeV Resonance shapes Interference term Substantial difference between fits with or without interference! 11

12 NEW Contributions to the inclusive hadronic DD cross-section at 4-5GeV Consistent with BaBar hep-ex/ DD + 2 D*D* + 2 DD* + 2 DDπ = R P. Pakhlov, talk at this conference Cross section (nb) NEW Belle PRL 98, (2007) D * D * DD * DDπ, not D(2010,2007) Center-of-mass energy, GeV CLEO preliminary, 60 pb -1 scan M(DD/D*D*/DD*/DDπ) GeV What else is there: * charmonium production in the continuum,o(pb) * D s production * other DDnπ rates (non-resonant) * Charm baryons 12 Center-of-mass energy, GeV

13 P. Pakhlov, talk at this conference Resonant structure in ψ(4415) DDπ D 2 *(2460) M(D 0 π + ) vs M(D - π + ) from ψ(4415) region (D(2010,2007) vetoed) Clear D * 2 (2460) signals Positive interference Non D * 2 (2460) contribution smooth 1 st exclusive decay mode of ψ(4415) D 2 *(2460) M =4411± 7± 3 MeV Γ tot = 77±20±12 MeV N ev = 109±25±11 Consistent with BES, hep-ex/ , PDG06, Barnes at.al PRD72, (2005) Number of events 673fb -1 ψ(4415) DD * 2(2460) ~14σ DDπ not DD * 2(2460) M(D 0 D - π + ) GeV/c 2 σ(e + e - ψ(4415)) Br(ψ(4415) DD * 2 (2460)) Br(D* 2 (2460) Dπ)=(0.74±0.17±0.07)nb Br(ψ(4415) D(Dπ) non D2(2460) )/Br(ψ(4415) DD * 2(2460))<0.2 13

14 Above DD threshold: Observed & Predicted States X(4350) Y(4260) in ISR and e + e - X(3940) D*D in cc J/ψ, Y(3940) in B ωj/ψ X(3872) BaBar: Talk by G. Cibinetto CLEO: PRL 98, (2007) χ c2 (Belle) Many charmonium-like states found, most could not be identified with a charmonium state (or have been ruled out as conventional cc state) in order to claim new cc state, need to prove quantum numbers angular distributions, decay modes, Need systematic approach from several fronts 14

15 Reminder: Y(4260) J/ψ π + π - seen in ISR by BaBar, J/ψ,ψ(2S)π + π - States Initial state radiation: e + ππcc e - Simplest fit to peak uses single Breit- Wigner shape, multiple reonances possible CLEO, Belle: 2005/2006 Quantities of interest: Mass Width Decay BR s to different final states and ratios M(ππ) distribution J/ψ π + π -, J/ψ π 0 π 0, J/ψ K + K -, and more CLEO PRL 96, (2006) Direct production at 3770, 4040, 4160, 4260 MeV: ππcc e + e - 15

16 Belle arxiv: v1, subm to PRL M = 4008 ± 40 Γ = 226 ± /fb J/ψ+π + π - in Initial State Radiation MeV MeV M = 4247 ± 12 Γ = 108 ± MeV MeV Quantities of interest: mass, width, coupling New fit to improve low-side description: two overlapping resonances and constructive / destructive interference Earlier results, single BW fit: Refs see end of talk Mass, MeV Width, MeV BaBar ±23 CLEO 4284± Belle old ±26 Belle new 4263±6(st) 126±18(st) 2 solutions reproduce the data (same m,γ), but B(Y(4260) ππj/ψ) Γ ee a factor of 3.5 apart! 16

17 Fit input: assume two overlapping resonances 2 solutions reproduce the data (same m,γ) B(Y(4260) ππj/ψ) Γ ee a factor of 3.5 apart! Belle arxiv: v1, subm to PRL (cont d) J/ψ+π + π - in Initial State Radiation below GeV above M = 4008 ± 40 Γ = 226 ± MeV MeV M = 4247 ± 12 Γ = 108 ± MeV MeV M(ππ) distribution distinctly different for Y(4260) signal region than for sidebands MC: Belle, BaBar: 3body phase space CLEO: like ψ(2s) ππj/ψ BaBar ISR CLEO direct M(ππ) (GeV) PRL 95, (2005) PRL 96, (2006) 17

18 2 ψ(2s)+π + π - in Initial State Radiation Events / 50MeV/c Events / 50MeV/c ee Y(4350)γ m(2(π + π - )J/ψ) (GeV/c 2 ) ππcc e+ e- M = 4361± 9 ± 9MeV Γ = 74 ± 15 ± 15MeV M = 4664 ± 11± 5 MeV Γ = 48 ± 15 ± 3 MeV 5.8σ consistent NEW m(2(π + π - )J/ψ) (GeV/c ) Phys. Rev. Lett. 98, (2007) 18

19 Number of events Obtain J/ψ+D(*)D(*) samples through kinematic separation, look at m(d(*)d(*)) after background subtraction: 3.8 σ 5.5 σ Something s here, but it s not X(3940) M(DD) X(4160) claim: new state e + e - J/ψ D (*) D (*) J/ψ J/ψ D: J/ψ D*: c c Recoil mass DD DD* D*D c c D*D* D*D* 693fb -1 D(*) (inferred, not rec d) reconstruct D or D* Number of events M = 3942 ±6 MeV Γ tot =37 ±12 MeV N ev = 52 ±11 M(DD*) X(3940) is still there, 6.0σ X(3940) Crosscheck M(D*D*) +25 M = ±15MeV +111 Γ tot = 37 ±21MeV N ev = P. Pakhlov, talk at this conference, M(D*D) 19

20 G. Cibinetto, talk at this conference Confirmation of Y(3940) (B KωJ/ψ) Belle PRL 94, (2005), 253/fb, >8σ π + π - π 0 Unexplained state; mass and width compatible with radially excited P-wave cc state, but decay to hidden charm B ± YK ± M=3943±11±13 MeV Γ=87±22±26 MeV preliminary B 0 YK S New result, based on 350 fb -1 : Belle s evidence for B YK, Y J/ψω confirmed B 0 /B ± ~30MeV lower mass than Belle s Narrower width Isospin cons. Preliminary BF estimate similar to Belle s (~10-5 ) M(J/ψ ω) (GeV) 20

21 Q=c,b q=u,d,s Overview Two heavy quarks Q Q General goal: Explore QCD phenomena at different scales ψ(2s) width J/ψ, χ cj decay to light q B decay to charmonium States above DD threshold Charmonium-like states One heavy quark Q q D s1 (2536) + D *+ K 0 S Ξ c (3077), Ξ c (3123) Zero heavy quarks q q This talk: mostly mesons, but many new results on baryons as well. See list of topics at the end. 21

22 Partial Wave Analysis of D s1 (2536) + D *+ K 0 S V. Balagura, this conference D-wave S-wave M= ±0.02±0.40 MeV Γ=1.03±0.05±0.12 MeV BaBar, hep-ex/ D*K N/0.3 MeV/c ±81 events 200 M(D * K S ) e + e - continuum x P > M(D *+ KS) 0 MeV/c 2 D s1 (2536) + : j=3/2 with small admixture of j=1/2 Energy release is small D-wave decay to D*K S is suppressed j=1/2 can be visible 3-D fit results projections ρ 00 longitudinal polarization S-wave dominates π/2 π cosα β cosγ χ 2 difference between points and projected fit results corresponds to prob. 60%

23 Excited charm-strange baryons Data 384 fb -1 Σ c (2520) ++ +K Σ c (2455) ++ +K Ξ a) c (2980) + Ξ c (3055) + b) via cut on m(λ c + π + )=m(σ) T. Schroeder, talk at this conference Search: cs baryons Λ c+ + K S, K -, K - π +, K S π -, K S π - π +,K - π - π + Ξ c (3077) + Ξ c (3077) + Ξ c (3123) + M(Λ c+ K - π + ) (GeV) Ξ c (3055) + Mass (MeV/c 2 ) ± 1.2 ± 0.5 Width (MeV/c 2 ) 17 ± 6 ± 11 Yield 218 ± 53 ± 79 Significance 6.4σ Ξ c (3123) + Mass (MeV/c 2 ) ± 1.3 ± 0.3 Width (MeV/c 2 ) 4.4 ± 3.4 ± 1.7 Yield 101 ± 34 ± 9 Significance 3.6σ preliminary only observed in Σ c ++ K intermediate decays c and s split up. Further results: confirmation of Ξ c (2980) +, Ξ c (3077) +,0 Ξ c (2980) + mass and width measurements improved 23

24 Q=c,b q=u,d,s Overview Two heavy quarks Q Q General goal: Explore QCD phenomena at different scales ψ(2s) width J/ψ, χ cj decay to light q B decay to charmonium States above DD threshold Charmonium-like states Non-perturbative QCD One heavy quark a 0,f 0 (980) η,η mixing and glue in η η mass η( ) decay K +- π + π e +- ν, π + π 0 π 0, π ± π 0 γ This talk: mostly mesons, but many new results on baryons as well. See list of topics at the end. Q q Zero heavy quarks D s1 (2536) + D *+ K 0 S Ξ c (3077), Ξ c (3123) q q 24

25 KLOE EPJ C49 (2007) 473 KLOE Two fit models: φ Kaon Loop No Structure φ π 0 π 0 γ Context: Low-mass broad ππ, Kπ systems are everywhere : π+k/π scattering, K decay, D decay, σ,κ (low-mass ππ/kπ S-wave), a 0 (980) ηπ 0, f 0 (980) π + π,π 0 π 0, K + K -, K 0 K 0bar Parameters? Nature? Fit needs φ σ(500)γ, γ different parametrizations tried; p(χ 2 )~ % K - φ K K f 0 f 0 π γ π π π Goal: Understand low-mass dimeson behavior; here: ππ,kk. Result 1: An acceptable fit is obtained with both models: P(χ 2 )(KL)=14% P(χ 2 )(NS)= 4% The Dalitz plot: Result 3: BR( φ γf 0 π 0 π 0 γ ) ωπ 0 -- Also see φ γf 0 (980) γπ + π - and φ γa 0 (980) γηπ 0 KLOE results 25 M(πγ) 2 (GeV 2 ) f 0 M(ππ) 2 (GeV 2 ) Result 2: List of couplings for both models

26 η/η mixing; gluon content in the η B(φ η γ) / B(φ ηγ) = Gives insight into η/η mixing. Assuming η =uds only, no gg>: ϕ P =(41.4±0.3±0.7±0.6) o B(φ ηγ) =(1.301±0.024)% from PDG (4.77 ±0.09 stat. ±0.19 syst ) 10-3 B(φ η γ) = (6.20 ± 0.09 stat. ±0.25 syst. ) 10-5 η signal (no bgd) η signal (~10% bgd) M(6γ) M(6γ+π + π ) KLOE PLB648 (2007) 267 Now allow η to have gg>: Use SU(3) relations between modes involving π 0,ω,ρ,η,η and measured branching ratios to obtain X,Y,Z(η ) φ G, ϕ P Mixes η,η Mixes gluonium into η 26

27 Sin φ G η gluonium content Fit results φ P =(39.7 ± 0.7 tot ) φ G = (22 ± 3) Yη ( ) ( ) Γ ω π 0 γ ( ) Γ( π 0 γγ) ( ) Γ ω π 0 γ Γ η' ργ Γ(η γγ)/γ(π Γ η' γγ 0 γγ) Γ(η' ργ)/γ(ω π Γ η' ωγ 0 γ) R φ ( ) KLOE R φ Y η' PLB648 (2007) 267 KLOE Gluonium coefficient: sin 2 φ G =Z 2 =0.14 ± % χ 2 probability 1% χ 2 probability KLOE R φ Γ(η ωγ)/γ(ω π 0 γ) imposing Z=0 ϕ P Xη ϕ P Xη Bands constraints from input branching fractions (depend on X,Y,Z(η ) φ G, ϕ P ) 27

28 Invariant mass of η decay products: γγ 3π 0 π + π - π 0 CLEO ψ(2s) ηj/ψ η Mass CLEO: M(η) = ± ± MeV arxiv: KLOE: M(η) = ± ± MeV preliminary π + π - γ M(CLEO) M(PDG06) (MeV) γγ KLOE φ γη M(γγ) (MeV) 28

29 η( ) Branching Ratios (1) K + K - φ 58M decays J/ψ η( ) η to undetectable final states: η( ) to γγ: M(φ) η η η η Missing momentum 58M J/ψ, B(J/ψ η( )φ) = 7.4 (4.0) 10-4 B(φ K + K - ) = 50% BES PRL 97, (2006) 1760±49 72±13 B(η invisible) B(η γγ) ( invisible) B( η' γγ) B η ' < < Other invisible BR measurements: ϒ(1S): <0.39% (CLEO) PRD 75, (2007) <0.29% (Belle) PRL 98, (2007) 29 Important as an input to total width measurements! 3 UL, absolute: ~0.1%) ~0.01%

30 η branching fractions (2) CLEO-c Other l + l - J/ψ 27M decays ψ(2s) η R(CLEO) / R(Other) CLEO-c PDG Global Fit Fully reconstruct five final states: γγ + 3π 0 + π + π - π 0 + π + π γ + e + e - γ % Follow PDG procedure: sum of the above five modes is ~ 100% build absolute Br s from ratios CLEO, arxiv: Γ(CLEO) / Γ(PDG06) 30

31 KLOE B. V. Martemyanov, V. S. Sopov, PRD 71 (2005) Amplitude(s, t,u) Q 2 m = m 2 s 2 d arxiv: v1 A good understanding of η 3π dynamics can in principle lead to a very accurate determination of quark masses: Γ( η 3π ) A mˆ m 2 2 u, 2 1 Q 2 M(s, t,u) (*) 3s 4m M(s, t,u) = m m 2 η lowest order Current Algebra Fit parameters: A(X,Y) 2 = 1+aY+bY 2 +cx+dx 2 +exy+fy 3 with X=fct(π + -π - ), Y=fct(π 0 ) η π + π π 0 decay dynamics 2 π 2 π Fit result: Measured matrix element: N obs =(1.377±0.001) 10 6 B/S 0.3% Y=fct(π 0 ) X=fct(π + -π - ) LOCA: b = a 2 /4 Indicates need for higher order corrections compared to (*) 31

32 K +/- π +/- π 0 π 0 One-loop K ± π ± π π 0 K π = ± ± π π 0 K M 0 π + ± ± π - 0 π + M0 M1 Dalitz plot analysis. Look at M(π 0 π 0 ): cusp structure at π + π threshold (due to π + π π 0 π 0 rescattering) provides a new method to measure the ππ scattering lengths: a 0 and a 2 (χpt predictions exist) preliminary (a 0 a 2 )m + =0.261±0.006 stat. ±0.003 syst. ± ext. a 2 m + = 0.037±0.013 stat. ±0.009 syst. ± ext. Dominated by the theoretical uncertainties, consistent with Ke4 measurement and with a 2 -a 0 from DIRAC (pionium lifetime). Experimentally sensitive to higher-order terms in matrix element expansion π π k 100k 90k 80k 70k 3 NA48/2 Final state interactions Prop. to a 0 -a 2 M 1 not present Two-loop introduces dependence on a 2 in ampl. data π + π threshold M 2 (π 0 π 0 ), (GeV/c 2 ) 2 PLB 619, 50 (2005) G. Lamanna, talk at this conference 59.6 M events M(π 0 π 0 ) (GeV) 32

33 K +- π + π e +- ν (Ke4) results Comparison with other Ke4 results This measurement: a 02 = fct(a 00 ) Five independent kinematic variables, expansion in form factors with spin-dependent coefficients, modelindependent determination of coefficients and phase shift btw L=0 and L=1, δ. a 2 δ a 0 and a 2 via theory NA48/ K + and K - Ke4 decays (preliminary results on partial statistics) Ke4 Form factors measured with a precision within 5% to 15% A new level of sensitivity G. Lamanna, talk at this conference a 0

34 Q=c,b q=u,d,s Summary Two heavy quarks Q Q General goal: Explore QCD phenomena at different scales ψ(2s) width J/ψ, χ cj decay to light q B decay to charmonium States above DD threshold Charmonium-like states Non-perturbative QCD One heavy quark a 0,f 0 (980) η,η mixing and glue in η η mass η( ) decay K +- π + π e +- ν, π + π 0 π 0, π ± π 0 γ This talk: mostly mesons, but many new results on baryons as well. See list of topics at the end. Q q Zero heavy quarks D s1 (2536) + D *+ K 0 S Ξ c (3077), Ξ c (3123) q q 34

35 Conclusion Many measurements on hadron spectroscopy and decay are arriving Examples shown of new phenomena, systematic surveys, and precision studies Especially overwhelming the amount of new unclassified states: Organize!! Many thanks to my colleagues on BaBar, Belle, BES, CLEO, KLOE, NA48, 35

36 Many more results Bottomonium: CLEO bottomonium results: talk by H. Vogel at this conference CDF h b search: talk by A. Gessler at this conference Charmonium: psi(2s) to gamma+light survey: BES, PRL99, (2007) psi(2s) multibody survey: CLEO: PRL 95, (2005) psi(3770) non-ddbar: CLEO, PRL 96, (2006), PRD 73, (2006) BES, C. Jiangchuan, talk at this conference J/psi to light: BES, Phys. Rev. Lett. 97 (2006) : gamma pipi PWA Y(4260): BaBar: PRL 95, (2005), CLEO: PRD 74, (R), Belle old prelim: hep-ex/ X(3872): X(3872) mass: BaBar, G. Cibinetto, talk at this conference D0 mass: CLEO, PRL 98, (2007) Charm mesons: BaBar: T. Schroeder, talk at this conference Belle: B0bar -> D**+ pi-; (observation of D_0*) hep-ex/ (acc by PRD) Open charm production: Belle: e+e- -> D(*)D* cross-section (at sqrt(s) from threshold to ~5 GeV), PRL98, (2007) Baryons: Belle, Λ c (2880) J^P and Λ c (2940) -> Σ c π; PRL 98, (2007) Belle, Observation of Ξ c (2980), Ξ c (3077); PRL 97, (2006) BaBar: T. Schroeder, talk at this conference D0: Λ b lifetime, Ξ b discovery: E. De La Cruz Burelo, talk at this conference Light scalars: KLOE: a 0 eta pi 0, f 0 pi 0 pi 0 shown at winter conferences Light resonances: E. Fadeeva, talk at this conference NA48 Radiative decays: M. Piccini, talk at this conference 36

37 D. Ozerov, talk at this conference Pentaquarks BACKUP

38 Charmonium States η c (2S): mass recently remeasured, width a moving target, M1 rates not measured, only one decay mode seen χ cj : masses, width, dominant decay modes reasonably well measured. Beginning to study substructure. h c χ c ψ(2s) γχ cj η c (1S): mass and width known to MeV s, most urgent project: M1 transition rate J/ψ γη c η c ψ h c : Newest member of the family, seen in ψ(2s) π 0 h c γη c and in pp production, product BR measured. That s it! ψ(2s),j/ψ: accessible in e + e -. Masses, total width, dominant decay modes well measured. Studying BR s in the range of <0.01%, and substructure. E835 h c 38

39 PRL99, (2007) ψ(2s) γ+ light hadrons ψ(2s) to light hadrons, PDG07: The corresponding list for the J/ψ is almost 50 entries long All limits or meas ts at BR(ψ(2S) ggg + γgg) = 1 ππ,η,π 0 J/ψ ΣM1,E1 = ~ 20% J/ψ: γgg/ ggg ~6% BR(ψ(2S) γgg) ~ 1% Where are they? BES: survey of γ+n(π + π )+ m(k + K - ) Also included π 0 +2(π + π - )[and K + K - ], rich resonant substructure Sum nowhere near 1%... 39

40 Open charm production in e + e - Study dependence of production rate on center-of-mass energy Eichten et al, PRD 21, 208 (1980) inclusive: CLEO Multibody decays (D*Dπ,...) Decomposition of this crosssection? Measure yield of D/D*/D S / combinations as function of E cm CLEO preliminary Two-body (DD, D*D, ) e + e - hadrons at ~4GeV 40

41 CLEO PRL 98, (2007) D 0 mass measurement PDG: M(D 0 )=1864.5±0.4MeV average of LGW, MARK II, NA32 Measured in D 0 Kπ, Kπππ CLEO-c, 281pb -1, use D 0 K S φ: M(D 0 ) M(φ) M(K S )=347MeV p(k), p(π) <600MeV range Cross-check: M(ψ(2S) π + π J/ψ) 319±18evts π + K S φ K+ π - D 0 K - 41

42 D + LQCD D mass calculation D 0 LQCD arxiv: (hep-lat) Ave (OUR FIT): ± 0.13 MeV 42

43 η,η': mixing and gluonium The η, η' mesons wave function can be decomposed in the strangeness non strangeness base. Comparing with other decay rates using SU(3) relations: The gluonium coupling is neglected. 43

44 γγ 0.12 J/ψ momentum, GeV cos θ (EHi) +1 3π 0 π + π - π 0 π + π γ e + e - γ η branching ratios, CLEO l + l - J/ψ ψ(2s) 27M ψ(2s), B(ψ(2S) ηj/ψ) = 3.1%, B(J/ψ l + l - ) = 12%, Fully reconstruct five final states: γγ + 3π 0 + π + π - π 0 + π + π γ + e + e - γ Constrain l +, l - J/ψ, constrain J/ψ, η products ψ(2s) Excellent data/mc agreement Measurement of ratios allow cancellation of systematics Follow PDG procedure: sum of the above five modes is ~ 100% 44 build absolute Br s from ratios η

45 Results and systematics KLOE The result is dependent from the knowledge of the sqrt(s). It is calibrated using the resonance curve of the φ K S K L. m(φ) = ± ± MeV/c 2 CMD-2 Phys. Lett. B578, 285 M(π 0 ) = ( ± 6 stat ± 30 syst ) kev M(π 0 ) ΠΔΓ = ( ± 0.6 ) kev M(η) = ( ± 5 stat ± 69 syst ) kev NA48 compatibility: 0.24 σ Independent measurement with the η π + π π 0 decay mode in progress: m η = ± 0.15 MeV/c 2 (very preliminary fully in agreement with the γγ channel) Systematic table PRELIMINARY err./(tot. err) Calorimeter calibration 1% Calorimeter linearity 1 % Vertex position 1 % Azimuthal dependence 18 % Polar dependence 8 % Dalitz plot cut + corr. 67 % 45

46 KLOE Cusp: two loops K ± π ± π 0 M π 0 No rescattering π ± π ± K = ± π 0 K + ± π - π 0 K ± π 0 π + M0 π M1 0 Leading effect Cusp Sub- Leading effect M 2 (π 0 π 0 ), (GeV/c 2 ) 2 Cabibbo,Isidori JHEP 0503 (2005) 21 π ππ π π π 0 π Including 2-loops diagrams other terms appear in the amplitude All the S-wave amplitudes (5 terms) can be expressed as linear combination of a0 and a2 The isosping breaking effect is taking in to account The radiative correction (most relevant near threshold) are still missing A deviation from the no rescattering amplitude behaviour appears also above threshold 46

47 Κ ± π ± π 0 γ: First measurement of direct emission contribution IB DE NA48/2 Sensitive variable: IB INT DE K ± π ± π 0 π 0 K ± π ± π 0 γ W 2 ( P = * K P )( P * γ ( m m k * π 2 π) P * γ ) P * K = 4-momentum of the K± P * π = 4-momentum of the π± P * γ = 4-momentum of the γ ~124K events from 2003 data Preliminary result: Frac(DE) 0 <T* π <80 MeV = (3.35 ± 0.35 ± 0.25)% Frac(INT) 0<T * π<80 MeV = (-2.67 ± 0.81 ± 0.73)% Correlation=-92% 2004 data set: x4 # events and lower systematic due to trigger (analysis ongoing) 47

48 Κ ± π ± e + e γ Weak radiative decay NA48/2 Ξ 0 Λ 0 e + e - First evidence from 2003 data First evidence from 2002 data Preliminary result: BR=(1.27±0.14 stat ±0.05 sys ) 10 8 Final result (Phys.Lett.B650:1-8,2007): BR(Ξ Λee) = 7.7±0.5stat±0.4syst 10 6 α(ξ Λee)= 0.8 ±