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Recent Results from BES Weiguo Li IHEP, Beijing Representing BES collaboration ICFP2005 NCU, Chungli, Taiwan Oct. 5, 2005
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BESII Detector VC: xy = 100 m TOF: T = 180 ps counter: r = 3 cm MDC: xy = 250 m BSC: E/ E= 22 % z = 5.5 cm dE/dx = 8.4 % = 7.9 mr B field: 0.4 T p/p=1.8 (1+p 2 ) z = 2.3 cm Dead time/event: 〈 10 ms
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Data from BESI and BESII
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Recent J/ Results from BESII Multiquark candidates study at BES * pp threshold enhancement in * observation of X(1835) in * p threshold enhancement in * K threshold enhancement in * enhancement in Light scalar mesons -- , , f0(980), f0(1370), f0(1500) … Excited baryon states Measurements of J/ and c decays
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During the past two years, a lot of surprising experimental evidences, including some BES results showed the existence of hadrons that cannot (easily) be explained in the conventional quark model. J/ decay is a good place to search for the new form of hadrons.
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Observation of an anomalous enhancement near the threshold of mass spectrum at BES II M=1859 MeV/c 2 < 30 MeV/c 2 (90% CL) J/ pp M(pp)-2m p (GeV) 00.10.20.3 3-body phase spaceacceptance 2 /dof=56/56 acceptance weighted BW +3 +5 10 25 BES II Phys. Rev. Lett., 91 (2003) 022001 0 -+
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X(1835) 5.1 hep-ex/0508025 Accepted by PRL Observation of X(1835) in X(1835) 6.0
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Statistical Significance 7.7 BESII Preliminary Combine two channels X(1835) 7.7 BESII Preliminary
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M = 1830.6 6.7 MeV = 0 93 MeV In good agreement with X(1835) Include FSI curve from A.Sirbirtsev et al.(hep-ph/ 0411386) in the fit (I=0) Refit to J/ pp including FSI BES II Preliminary
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X(1860) from BES has large BR to pp BES measured: For a 0 -+ meson: So we would have: Considering that decaying into pp is only from the tail of X(1860) and the phase space is very small, such a BR indicates X(1860) has large coupling to pp !
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X(1835) could be the same structure as pp mass threshold enhancement. It is likely to be a pp bound state since it dominantly decays to pp when its mass is above pp mass threshold. ’ mode is expected to be the most favorable decay mode for a pp bound state below pp mass threshold G.J. Ding and M.L. Yan, PRC 72 (2005) 015208
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Observation of an anomalous enhancement near the threshold of mass spectrum at BES II BES II 3-body phase space For a S-wave BW fit: M = 2075 12 5 MeV Γ = 90 35 9 MeV Phys. Rev. Lett. 93, 112002 (2004)
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Similar enhancement also observed in 4 away from phase space.
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PS, eff. corrected Observation of a strong enhancement near the threshold of mass spectrum at BES II (Arbitrary normalization) BES II NX*NX* BES II Preliminary
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A strong enhancement is observed near the mass threshold of M K at BES II. Preliminary PWA with various combinations of possible N* and Λ* in the fits —— The structure N x *has: Mass 1500~1650MeV Width 70~110MeV J P favors 1/2 - The most important is: It has large BR(J/ψ pN X *) BR(N X * KΛ) 2 X 10 -4, suggesting N X * has strong coupling to KΛ. BES II Preliminary
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Observation of threshold enhancement in J/ DOZI process M3M3 M KK BES II Preliminary
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A clear threshold enhancement is observed Phase Space Eff. curve Side-band S wave fit: BES II Preliminary
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Study of the scalars There have been hot debates on the existence of and . Lattice QCD predicts the 0 ++ scalar glueball mass in the range 1.5 - 1.7 GeV. f 0 (1500) and f 0 (1710) are good candidates.
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study in study in study f 0 (980), f 0 (1370), f 0 (1500), f 0 (1710) and f 0 (1790) in 0 ++
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The study of evidence for a low mass pole in the early DM2 and BESI data on J/ . huge event concentration in the I=0 S-wave channel seen in M ~ 500 – 600 MeV in the pp central production exp. to explain scattering phase shift data , should be introduced in chiral perturbative theory. FNAL E791 exp. D + + - + data
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The pole in at BESII M( ) M( + - 0 ) M( + - ) 00
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Fit to J/ → + (whole mass region) f 0 contribution preliminary b 1 (1235) Method I: Channels fitted to the data: J/ f 2 (1270) f 0 (980) b 1 (1235) ’(1450) f 2 (1565) f 2 (2240) f 2 contribution
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Fit to J/ → + (M < 1.5 GeV) Method II: Channels fitted to the data: J/ f 2 (1270) f 0 (980) b 1 (1235) phase space f 0 contribution f 2 contribution
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Breit-Wigner for :
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Averaged pole position: MeV Phys. Lett. B 598 (2004) 149 BW form Pole position (MeV) Const. with Adler zero form BW formMass(MeV)Width(MeV) Pole position(MeV) Const. with with (HQ) I II Fit results:
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The study of A possible pole is controversial. Some analyses of LASS K scattering data need (800), some don’t. Scadron et al. favors a nonet made up of , (800), f 0 (980) and a 0 (980). Julich group used t-channel exchanges to explain K scattering data. evidence of in FNAL E791 data on D + K - + + slightly lower statistics of CLEO D 0 K - + 0 data find no evidence of FOCUS data on K + K - + + require K* 0 interfere with either a constant amplitude or a broad 0 + resonance in K
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κ hep-ex/0506055 Submitted to PLB
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BES Preliminary K* 0 (1430)
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Pentaquark searches not forbidden by QCD: definite evidence of pentaquark states would be an important addition to our understanding of QCD. a baryon with S=+1 is a natural candidate + (1540)
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Need more experimental facts (through different processes) BES: e + e - collision; has relatively clean data samples with less backgrounds investigate the pentaquark state in the hadronic decays of charmonium
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No pentaquark state (1540) (or ) is observed. J/ (2S)
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Upper limits @ 90% C.L. PRD70 (2004) 012004
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Lattice QCD: the lightest scalar glueball in the region of 1.5- 1.7 GeV Glueball searches should be performed in simultaneously. I will skip the other parts of J/ decay results to save time, please refer to the BES talks at Hadron05. Study of other scalars
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BES preliminary c0 → + K + K Different way for scalar study: 1.Start from J PC =0 ++, 1 ++, 2 ++ 2.Start from gluon+gluon 3.Pair production of scalars, very different information than in J/ decays 1371 evts c0 c1 c2 Can study different kinds of resonances: ( )( K K ) (K )(K ) (K ) K (2S) and CJ Decays hep-ex/0508050 Submitted to PRD
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f 0 (1710) f 0 (2200) f 0 (980) BES preliminary, c0 → + K + K ( + ) ( K + K ) Q. Zhao, hep-ph/0508086, try to understand these data and the scalars … f 0 (980) f 0 (1370) (770)
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(K )(K ) K* 0/2 (1430) K* 0 (1950) K*(892) 0 With kappa-kappa Without kappa-kappa S=39. BES preliminary c0 → + K + K
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1371 events M(K ) [896±60] M( ) [700,850] K 1 (1270) K 1 (1400) K 1 (1270) BES preliminary, c0 → + K + K The mixing angle between K 1A and K 1B >57 degrees, while in ’ decays to K 1 K, the angle is <29 degrees. Why? (K )K
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Violation found by Mark-II, confirmed by BESI at higher sensitivity. Extensively studied by BESII/CLEOc VP mode: , K *+ K - +c.c., K *0 K 0 +c.c., 0,… PP mode: K S K L BB mode: pp, , … VT mode: K*K* 2, f 2 ’, a2, f 2 3-body: pp 0, pp , + - 0, … Multi-body: K S K S hh, + - 0 K + K -, 3( + - ), … “12% rule” and “ puzzle” K*K ρπ MARK-II
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In Potential model, if J/ , ’, and ’’ are pure 1S, 2S, and 1D states, one expects Extension of the “12% rule” but ’ and ’’ are known not pure 2S and 1D states, PRD17, 3090 (1978); 21, 203 (1980); 41, 155(1990); … Let’s look at data … (and first, the story of )
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BESII CLEOc 229 0 s 196 0 s BES and CLEOc in good agreement! BESII: PLB619, 247 (2005) CLEOc: PRL94, 012005 (2005) ’ + - 0
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Dalitz plots after applying 0 mass cut! Very different from J/ 3 ! Similar Dalitz plots, different data handling techniques: PWA vs counting! J/ ’ + - 0 CLEOc BESII ’ is observed, it is not completely missing, BR is at 10 -5 level!
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J/ + - 0 Make mass cut, and count events PWA analysis assuming interferes with excited states L. P. Chen and W. Dunwoodie, Hadron’91, MRK3 data Very different! PDG: 1.27 0.09%
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phase Continuum contribution is crucial in ’’ analysis: 1.Total ’’ charmless decays (<2nb) is much less than total continuum process (~16nb), 2.Interference between amplitudes φ interference ’’ + - 0 BESII preliminary Very small in ’’ decays
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BESII preliminary 3.773GeV BES and CLEOc are in good agreement! X-section at ’’ peak is smaller than at continuum! BESII: hep-ex/0507092 CLEOc: CLEO-CONF 05-01 ’’ + - 0 3.650GeV 3.773GeV 3.670GeV CLEOc preliminary
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BESII preliminary 3.773 BES and CLEOc are in good agreement! X-section at ’’ peak is smaller than at continuum! non-zero ’’ amplitude. BESII: hep-ex/0507092 CLEOc: CLEO-CONF 05-01 ’’ + - 0 3.65 CLEOc preliminary 3.773 3.67 Subtle difference in handling efficiency and ISR correction.
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BESII: hep-ex/0507092 CLEOc: CLEO-CONF 05-01 ’’ Wang, Yuan and Mo:PLB574,41(2003) Total cross section B depends on efficiency and ISR correction, efficiency and ISR correction depends on B (s) ! Iteration is necessary! Three unknowns with two equations --- One can plot the BR versus phase .
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’’ BESII: hep-ex/0507092 CLEOc: CLEO-CONF 05-01 BES data restrict BR and phase in a wide range (@90% C.L.): CLEOc data further restrict BR and phase in a ring*. At =-90 : *Toy MC is used to get BR from CLEOc data (not CLEO official results)!
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In S-D mixing model, using mixing angle θ=12°, using Rosner’s assumption (12% rule for 1S and 2S), one predicts Q ’ ρπ =(2.7-5.3)% ! J/ , ’, ’’ ρπ Partial width of ψ’’ ρπ is larger than that of ψ’ ρπ! hard to understand if ψ’’ is pure 1D state, also hard if ψ’’ is 2S and 1D mixture. -90 or imperfect model?
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Other ’ decay modes ’ is suppressed by a factor of 60! ’’ is enhanced! Other modes may supply more information! We list a few new measurements using BESII/CLEOc data …
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’ VP K * (892)K+c.c. K *0 Br ± =(2.9±1.7 ±0.4) 10 –5 Br 0 =(13.3±2.7 ±1.7) 10 –5 K* Good agreement! Large Isospin violation! Both modes suppressed! BESII : PLB614, 37 (2005) CLEOc: PRL94, 012005 (2005) Br 0 =(9.2±2.7 ±0.9) 10 –5 Br ± =(1.3±1.0 ±0.3) 10 –5 BESII
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’ VP CLEOc: PRL94, 012005 (2005) BESII : PRD70, 112007 (2004) PRD70, 112003 (2004) Some modes are suppressed, while some others obey the 12% rule!
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Multi-body ’ decays BESII: PRD71, 072006 (2005) CLEOc: PRL95, 062001 (2005) BESII, preliminary Some modes are suppressed, some are enhanced, while some others obey the 12% rule! CLEOc preliminary: hep-ex/ 0505057
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Search for ’’ decays to light hadrons CLEOc preliminary: LP2005-439 Same operation as for ’’ should done for all the modes to extract the BRs of ’’ decays. BR( ’’ final state) =-90 degrees as in J/ and ’ decays? Any way to choose one solution? Some x-sections agree, some very different.
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“12%” rule and “0.02%” rule ’ VP suppressed ’ PP enhanced ’ VT suppressed ’ BB obey/enhan. Multi-body –obey/sup. The ’’ decays into light hadrons may be large --- more data and more sophisticated analysis are needed to extract the branching fractions from the observed cross sections. Why D-wave decay width so large? Model to explain J/ , ’ and ’’ decays naturally and simultaneously? S-D mixing in ’ and ’’ [J. L. Rosner, PRD64, 094002 (2001)] DD-bar reannihilation in ’’ (J. L. Rosner, hep-ph/0405196) Four-quark component in ’’ [M. Voloshin, PRD71, 114003 (2005)] Survival cc-bar in ’ (P. Artoisenet et al., hep-ph/0506325) Other model(s)? Seems no obvious rule to categorize the suppressed, the enhanced, and the normal decay modes of J/ and ’. The models developed for interpreting specific mode may hard to find solution for other (all) modes.
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Measurements of (e + e - hadrons) and BF for (3770) D 0 D 0, D + D -, DD and (3770) non DD
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(3770) BES was the first to report the non DD Decay of (3770) Before BES-II one knows the decays BES-II established the transition at level ! PLB605(2005)63-71 BF(( (3770) J/ ) = (0.34 0.14 0.09)% (( (3770) J/ ) = (80 33 23)KeV Now study non-DD decay by R measurement and energy peak scan
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Measurement of R R is one of the most fundamental quantities in particle physics, which counts directly the charges, the flavors and the colors of quarks involved. pQCD calculates the R ratioExperimentally, one measures : # of hadronic : Luminosity : Eff. events : radiative correction factor
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E CM [GeV] σ obs had σ Born had R 3.650 3.665 3.671 3.773 Including J/ψ and ψ ’ contribution Including the contribution from high order processes (preliminary !) BES contribution paper to Lepton-photon 2005 see below Obtaining by fitting to the R values measured by BES in the range from 2.0 to 3.0 GeV
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(preliminary !)
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Taking the R for light hadron production to be a constant, then We obtain obtained based on PDG04 (3770) resonance parameters PLB 603(2004)130 My calculation It is consistent with determined with
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Observed cross sections for DD-bar production at 3.773 GeV PLB 603(2004) 130 of data @ 3.773 GeV From Monte Carlo PDG04 Br
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Preliminary ! An absolute measurement Contribution paper to LP05 Checked by double tagging method (33pb -1 data)
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Assuming that decay exclusively into (3770) Radiative correction PR D62 (2000)012002-1 Radiative correction factor Obtained from analysis of R Determination of branching fractions with and Some systematic uncertainties can be canceled out Radiative correction factor obtained based on new (3770) resonance parameters measured by BES-II.
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These results are preliminary ! Results of branching fractions Uncertainties due to luminosity, trigger, radiative corrections are canceled out.
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Measurement of branching fractions for and (3770) production The data were collected at 49 energy points from 3.66 to 3.89 GeV, which begin from off-resonance, cover (2S), (3770) and stop at DD* threshold. Cross section scan experiment Separated beam collision data at 3 energy points were collected to study beam associated background. Some J/ , (2S) data were also taken to calibrate BEPC energy and determine trg
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(Kuraev and Fadin) Observed cross section Hadron efficiency vs C.M. energy
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When scan over 3.770 GeV Just before the scan experiment Mass [MeV] PDG04 BEPC BEPC energy calibration E BEPC is the energy of BEPC set in the experiment, E true is the true energy
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(3770) Resonance parameters To get right resonance parameters, the two resonance production and decays should be considered simultaneously. In this way the “correct” QED background ( ) can be determined correctly ! BES-II Preliminary !
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(preliminary !) Experiment MARK-I DELCO MARK-II PDG04 BES-II Comparison of (3770) Resonance Parameters
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Comparison of (3686) Resonance Parameters experiment This measurement (preliminary !) BES-II published (PLB550(2002)24) PDG2004 Using a constant for vacuum polarization correction The measured partial width is consistent with PDG04 partial width of (3686).
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Line shape of the cross sections for hadron and DD-bar production Inclusive hadrons
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[GeV] Red: inclusive had. Black: D0D0-bar Blue: D+D-
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Branching fractions where the first error is statistical and second systematic, which arises from the un-canceled systematic uncertainties in hadron cross sections (~3.4 %), neutral DD-bar cross sections (~6.2 %) and charged DD-bar cross sections (~8.6 %). These results are preliminary ! Obtained from fitting to the inclusive hadron and the DD-bar production cross sections simultaneously. Considered the correlation between the two branching fractions for the two modes
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Summary Lots of new results from J/ , (2S), CJ and (3770) decays. X(1835) observed in J/ +( ’ ) decays, could be the same state observed in J/ pp, could be a baryonium. Other threshold enhancements. Parameters of and are given. Vector charmonia (J/ , ’, and ’’) hadronic decays are studied extensively and simultaneously to understand charmonium decay dynamics. “ puzzle” remains a puzzle. Inclusive and exclusive (3770) non DD decay reported.
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Status of BEPCII/BESIII Two ring machine, design luminosity 3 10 10 32 cm - 2 s -1. Detector design: SC magnet 1 tesla field; small cell MDC; CsI crystal calorimeter; Time of flight ~100ps; RPC as muon detector 9 layers. Schedule: Summer of 2006, machine to be commissioned. Detector moved to beam line early of 2007, and started to commission detector with machine together. Expect to have test run in 2007.
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Thanks 谢谢
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BES, PRL91, 022001(2003) Old fit w/o FSI New fit with FSI
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Gounaris-Sakurai’s parametrization C is incoherent background term ’ + - 0 PWA
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A prediction of ’’ charmless decays Wang, Mo and Yuan, PRD70, 114014(2004) Prediction on ψ(3770) charmless decay branching fraction: 16% (or 3.8MeV) S- and D-wave mixing Average enhancement factor Non-zero phase btwn matrix elements Phase=0 B( (2S) ggg)/B(J/ ggg) = 0.26 ± 0.04
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0 ++ states: f 0 (980), f 0 (1370), f 0 (1500), f 0 (1710), f 0 (1790) PDG 2004 values: f 0 (980): M = 980 10 MeV, = 40 – 100 MeV , KK f 0 (1370): M = 1200 – 1500 MeV, = 200 – 500 MeV 2 , 4 , KK … f 0 (1500): M = 1507 5 MeV, = 109 7 MeV 2 , 4 , , ’, KK … f 0 (1710): M = 1714 5 MeV, = 140 10 MeV 2 , 2K, 4 , , ’ …
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Important parameters from PWA fit: Large coupling with KK indicates big strange quark component in f 0 (980) f 0 (980) Phys. Lett. B 607 (2005) 243
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There has been debate whether f 0 (1370) exists or not. f 0 (1370) clearly seen in J/ , but not seen in J/ . PWA 0 ++ components f 0 (1370) NO f 0 (1370) f 0 (1370) Phys. Lett. B 607 (2005) 243
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Clear f 0 (1710) peak in J/ KK. No f 0 (1710) observed in J/ ! f 0 (1710) NO f 0 (1710) Phys. Lett. B 603 (2004) 138
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PWA analysis shows one scalar in 1.7 GeV region. Phys. Rev. D 68 (2003) 052003
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A clear peak around 1790 MeV is observed in J/ . No evident peak in J/ KK. If f 0 (1790) were the same as f 0 (1710), we would have: Inconsistent with what we observed in J/ , KK New f 0 (1790)?? f 0 (1790) ? f 0 (1790) is a new scalar ??
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Scalars in J/ Two scalars in J/ : –One is around 1470 MeV, may be f 0 (1500)? –The other is around 1765 MeV, is it f 0 (1790) or f 0 (1710) or a mixture of f 0 (1710) and f 0 (1790)? BES II Preliminary
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Excited baryon states Probe the internal structure of light quark baryons Search for missing baryons predicted by quark model
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J/ decays processesbranching ratios(10 -3 )N* decays 2.0 0.1 6.0 0.5 2.0 0.1 2.1 0.2 0.9 0.4 1.3 0.3 relatively large branching ratios
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Pure isospin 1/2 Feynman diagram of the production of For and, and systems are limited to be pure isospin 1/2.
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The evidence of 2 new N* peaks Missing mass spectrum (GeV/c 2 ) N*(1440)? N*(1520) N*(1535) N*(1650) N*(1675) N*(1680) ?
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Fitting formula : momentum of : proton momentum in M x frame ► Possible new N* resonance ► preliminary PWA shows: this N* favors 3/2+ hep-ex/0405030
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Measurements of J/ and c decays
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First observation of J/ f 2 (1270)f 2 (1270) 4 M (GeV/c 2 ) signal J/ anything MC BG fit with: BW: 0 (770), f 2 (1270) BG: 2nd order polynomial + f 2 P. R. D. 70 (2004) 112008
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Measurement of J/ decays to Vector + Pseudoscalar --- channels measured:
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The measured branching ratios Phys. Rev. D 71 (2005) 032003
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First measurements of J/ 2( + - ) and 3( + - ) J/ 2( + - ) J/ 3( + - ) Phys. Lett. B 610 (2005) 192 M( ) GeV
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Measurement of J/ decays to + Pseudoscalar ---
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preliminary
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First observation of c K + K - 2( + - ) and 3( + - ) Ndata=100 26 significance: at 90% C.L.
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Ndata=427 64 significance: Submitted to Phys. Lett. B (hep-ex/0505093)
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In SM, lepton flavor symmetries are conserved. neutrinos having mass and flavor oscillation indicates the existence of LVF J/ e , and e are LVF processes Search for Lepton flavor violation (LFV ) Phys. Lett. B 555 (2003) 174 Phys. Lett. B 598 (2004) 172 Decay modesN signal N background Upper limit (@90%C.L.) J/ →e 42 1.1 10 -6 J/ →e 10 8.3 10 -6 J/ → 0 0 2.0 10 -6
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Events Recorded by BESII Cosmic-ray and beam associated background The distributions of the averaged Z of events could be estimated based on cross sections, luminosity and acceptance Radiative correction could remove the effects of high order processes from the cross section, and gives The events observed in the experiment
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MC generator & simulation Full energy range ISR Generator Nch KNO φ Thrust Oblateness cosθ Sphericity Aplanarity Jet axis cosθ x η Y PtPt Density [nb/GeV]
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ISR corrections Kuraev & Fadin the electron equivalent radiator thickness Effective c.m. energy Moninal c.m. energy
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Vacuum polarization change the photon propagator results in Vacuum polarization correction
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Integrated luminosities Monte Carlo Luminosities were measured by using large angle Bhabha scattering About 5.4 pb -1 of data were collected for the experiment (for hadron events) Developed a inclusive hadronic event generator with high order ISR corrections to simulate the hadronic event production (including Lorentz boost due to initial state photon emission) in the full energy region Using more cross section scan data to reconstruct DD-bar events
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Distributions of invariant masses of Energy dependent cross sections DD-bar production combinations at different c.m. energies
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Inclusive hadrons Observed cross section for hadron production [nb] Observed cross sections
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Fitting the observed inclusive hadron and DD-bar production cross sections to the theoretical cross sections, one obtains the branching fractions Fit to the observed cross sections momentum of D at peak momentum of D threshold function (3770) total width
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Independent hadron and DD-bar data sample Branching fraction for the singly tagged D channel These relations remove those hadronic events which also appear in the DD-bar samples, so that the inclusive hadronic and DD-bar samples are independent.
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Source Uncertainty in R [%] (around 3.666 GeV) Uncertainty in R [%] (at 3.773 GeV) luminosity Had. Evt. Selection MC Generator (Monte Carlo Modeling) ISR & |1-Π(s)| -2 Ψ(3770) parameters Trigger ~2.1 ~2.8 ~2.0 ~1.5 ~0.5 ~2.1 ~2.8 ~2.0 ~1.5 ~2.7 ~0.5 Total ~4.3 ~5.1 Systematic uncertainty in the measured R values The detection efficiency for hadronic events is determined via a Monte Carlo simulation using JETSET74 event generator. Parameters in the generator are tuned using a hadronic event sample collected near 3.55 GeV (it is the same as that used in BES R measurements. PRL 84(2000) 594) and PRL 10(2002)101802-3.
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Source of systematic uncertainties in the measured branching fractions for (3770) DD-bar
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Estimation of the un-canceled systematic errors MC Modeling ~ 2.0% Hadron selection ~ 2.8% Total~ 3.4% PID ~1.5% Tracking & K.F. ~4% BCK shape ~3% MC statistic ~0.6% BF ~3.2% (neutral mode) ~6.5% [charged mode] Total ~6.2% (neutral) ~8.6% (charge) The uncertainties due to luminosity, trigger and radiative corrections are canceled in measurements of the branching fractions.
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SUMMARY BES measured R at 3.773 GeV and around 3.666 GeV with average uncertainties of BES measured the energy dependent DD-bar cross sections, and the cross section at 3.773 GeV . (preliminary !) Singly tagged D analysis Doubly tagged D analysis Obtained from fitting to (3686) and (3770)
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BES measured the branching fractions for inclusive non-DD-bar decays of (3770) using two different data sample and two different methods . (preliminary !) SUMMARY These are first measurements. Determined from analysis of R values and DD-bar cross sections Obtained from fitting to the inclusive hadron and the DD-bar production cross sections simultaneously.
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