Charmonium and Charmonium-like States at BaBar PANIC 11 - MIT - - - PowerPoint PPT Presentation
Charmonium and Charmonium-like States at BaBar PANIC 11 - MIT - - - PowerPoint PPT Presentation
Charmonium and Charmonium-like States at BaBar PANIC 11 - MIT - July 28, 2011 Torsten Schrder Ruhr-Universitt Bochum Representing the BaBar Collaboration Outline Introduction - Charmonia & Exotics - BaBar Experiment Results:
Outline
- Introduction
- Charmonia & Exotics
- BaBar Experiment
- Results: Charmonia
- Observation of χc2(2P) in γγ DD
- Observation of ηc(1S), ηc(2S), χcJ(1P)
in γγ K+K-π+π-π0, γγ K+K-π0
- Results: Exotics
- Evidence of X(3872) J/ψω
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- Phys. Rev. D 81,
092003 (2010)
- Phys. Rev. D 84,
012004 (2011)
- Phys. Rev. D 82,
011101(R) (2010)
Charmonium
Until 2002
- Charmonium spectrum
well understood up to ψ(3770) (i.e. up to
- pen charm threshold)
- above threshold:
significant width, decay mainly to open charm
- Some missing states:
ηc(2S) hc(1P) χcJ(2P)
- No new states
discovered between 1980 and 2002
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Mass / GeV/c2 JPC
Experiment Potential model (Godfrey & Isgur,
- Phys. Rev. D32, 189)
Charmonium
After 2002
- Missing states
- bserved:
- ηc(2S) [Belle 2002]
- hc(1P) [Cleo 2005]
- χc2(2P) [Belle 2006]
- B-factories (Belle,
BaBar) contributed and also discovered numerous unexpected charmonium-like states
- X, Y, Z
- not matching
conventional states
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Mass / GeV/c2 JPC
Experiment Potential model (Godfrey & Isgur,
- Phys. Rev. D32, 189)
χc2(2P) hc(1P) ηc(2S)
Exotic Charmonium-like states
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QWG Report
- Eur. Phys. J. C71,
1534 (2011)
- S. Godfrey & S.Olsen,
- Annu. Rev. Nucl.Part.
- Sci. 58, 51 (2008)
χc2(2P)
Exotic Charmonium-like states
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QWG Report
- Eur. Phys. J. C71,
1534 (2011)
- S. Godfrey & S.Olsen,
- Annu. Rev. Nucl.Part.
- Sci. 58, 51 (2008)
Exotics: Interpretation
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c c g
- P. Lacock et al. (UKQCD), PLB 401, 308 (1997)
S.L. Zhu, PLB 625, 212 (2005) F.E. Close, P.R. Page, PLB 628, 215 (2005)
- E. Kou, O. Pene, PLB 631, 164 (2005)...
Charmonium Hybrid additional gluonic degree of freedom Lattice QCD: mass of lowest state ≈ 4.2 GeV/c2 JPC = 0+-, 1-+, 2+-... possible
Exotics: Interpretation
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c c g c q c q
- P. Lacock et al. (UKQCD), PLB 401, 308 (1997)
S.L. Zhu, PLB 625, 212 (2005) F.E. Close, P.R. Page, PLB 628, 215 (2005)
- E. Kou, O. Pene, PLB 631, 164 (2005)...
Charmonium Hybrid additional gluonic degree of freedom Lattice QCD: mass of lowest state ≈ 4.2 GeV/c2 JPC = 0+-, 1-+, 2+-... possible Molecular state weakly bound pair of two mesons via π exchange
N.A. Tornqvist, PLB 590, 209 (2004) E.S. Swanson, PLB 598, 197 (2004)
- E. Braaten, T. Kusunoki, PRD 69,
074005 (2004) C.Y. Wong, PRC 69, 055202 (2004) M.B. Voloshin, PLB 579, 316 (2004) F.E. Close & P.R. Page, PLB 578, 119 (2004)
- X. Liu, EPJ C54, 471 ...
Exotics: Interpretation
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c c g c q c q q c c q
- L. Maiani et al., PRD 71, 014028 (2005)
T.W. Chiu & T.H. Hsieh, PRD 73, 111503 (2006)
- D. Ebert et al., PLB 634, 214 (2006) …
- P. Lacock et al. (UKQCD), PLB 401, 308 (1997)
S.L. Zhu, PLB 625, 212 (2005) F.E. Close, P.R. Page, PLB 628, 215 (2005)
- E. Kou, O. Pene, PLB 631, 164 (2005)...
Charmonium Hybrid additional gluonic degree of freedom Lattice QCD: mass of lowest state ≈ 4.2 GeV/c2 JPC = 0+-, 1-+, 2+-... possible Molecular state weakly bound pair of two mesons via π exchange Tetraquark compact, strongly bound diquark-antidiquark pair
N.A. Tornqvist, PLB 590, 209 (2004) E.S. Swanson, PLB 598, 197 (2004)
- E. Braaten, T. Kusunoki, PRD 69,
074005 (2004) C.Y. Wong, PRC 69, 055202 (2004) M.B. Voloshin, PLB 579, 316 (2004) F.E. Close & P.R. Page, PLB 578, 119 (2004)
- X. Liu, EPJ C54, 471 ...
Exotics: Interpretation
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c c g c q c q q c c q
- L. Maiani et al., PRD 71, 014028 (2005)
T.W. Chiu & T.H. Hsieh, PRD 73, 111503 (2006)
- D. Ebert et al., PLB 634, 214 (2006) …
- P. Lacock et al. (UKQCD), PLB 401, 308 (1997)
S.L. Zhu, PLB 625, 212 (2005) F.E. Close, P.R. Page, PLB 628, 215 (2005)
- E. Kou, O. Pene, PLB 631, 164 (2005)...
M.B. Voloshin, Prog. Part. Nucl. Phys. 61, 455 (2008)
- S. Dubynski et al., PLB 671, 82 (2009) ...
Charmonium Hybrid additional gluonic degree of freedom Lattice QCD: mass of lowest state ≈ 4.2 GeV/c2 JPC = 0+-, 1-+, 2+-... possible Molecular state weakly bound pair of two mesons via π exchange Tetraquark compact, strongly bound diquark-antidiquark pair Hadrocharmonia cc within complex structure (light quarks, gluons), similar to nuclear bound cc non-zero charge & strangeness possible q c c q g
N.A. Tornqvist, PLB 590, 209 (2004) E.S. Swanson, PLB 598, 197 (2004)
- E. Braaten, T. Kusunoki, PRD 69,
074005 (2004) C.Y. Wong, PRC 69, 055202 (2004) M.B. Voloshin, PLB 579, 316 (2004) F.E. Close & P.R. Page, PLB 578, 119 (2004)
- X. Liu, EPJ C54, 471 ...
Exotics: Interpretation
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c c g c q c q q c c q
N.A. Tornqvist, PLB 590, 209 (2004) E.S. Swanson, PLB 598, 197 (2004)
- E. Braaten, T. Kusunoki, PRD 69,
074005 (2004) C.Y. Wong, PRC 69, 055202 (2004) M.B. Voloshin, PLB 579, 316 (2004) F.E. Close & P.R. Page, PLB 578, 119 (2004)
- X. Liu, EPJ C54, 471 ...
- L. Maiani et al., PRD 71, 014028 (2005)
T.W. Chiu & T.H. Hsieh, PRD 73, 111503 (2006)
- D. Ebert et al., PLB 634, 214 (2006) …
- P. Lacock et al. (UKQCD), PLB 401, 308 (1997)
S.L. Zhu, PLB 625, 212 (2005) F.E. Close, P.R. Page, PLB 628, 215 (2005)
- E. Kou, O. Pene, PLB 631, 164 (2005)...
Artifact e.g. threshold, cusp effects: No resonance at all
- C. Meng & K.T. Chao, PRD 75, 114002 (2007)
- W. Dunwoodie & V. Ziegler, PRL 100, 062006 (2008)
- O. Zhang, C. Meng & H.Q. Zheng, arXiv:0901.1553 ...
M.B. Voloshin, Prog. Part. Nucl. Phys. 61, 455 (2008)
- S. Dubynski et al., PLB 671, 82 (2009) ...
Charmonium Hybrid additional gluonic degree of freedom Lattice QCD: mass of lowest state ≈ 4.2 GeV/c2 JPC = 0+-, 1-+, 2+-... possible Molecular state weakly bound pair of two mesons via π exchange Tetraquark compact, strongly bound diquark-antidiquark pair Hadrocharmonia cc within complex structure (light quarks, gluons), similar to nuclear bound cc non-zero charge & strangeness possible Conventional Meson e.g. high angular momentum state q c c q g
The BaBar Experiment
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Electron-Positron Collider: PEP-II / SLAC Integrated luminosity 1999-2008: 531 fb-1
- Υ(4S): 432 fb-1
- Y(3S): 30 fb-1
- Y(2S): 14 fb-1
- Scan, Offpeak: 54 fb-1
Powerful B-Factory: 467 million BB pairs Also rich Charm source: 690 million cc events Great environment for (charm) spectroscopy
Charmonium Production at BaBar
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e- e+ cc cc e- e+ c c γ γ* γ* e- e- e+ e+ γ(*) γ(*) c c
2-Photon Interaction: JPC=0±+, 2±+, 3++, ... Double Charmonium Production: J/ψ or ψ(2S) and 2nd cc state Initial State radiation: JPC=1-- collision below CM energy Color-suppressed B decays: all quantum numbers
c c b W- q q s B-, B0
χc2(2P): Overview
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Radial excitations of χcJ
- predicted mass region 3.9 – 4.0 GeV/c2
- S. Godfrey and N. Isgur,
- Phys. Rev. D 32, 189 (1985).
- no further information until 2005
Belle 2006: Z(3930)
- observed in γγ X DD
- data sample: 395 fb-1 collected at
Y(4S) CMS and below
- resonance parameters consistent with χc2(2P)
PRL 96, 082003 (2006)
χc2(2P): Overview
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Radial excitations of χcJ
- predicted mass region 3.9 – 4.0 GeV/c2
- S. Godfrey and N. Isgur,
- Phys. Rev. D 32, 189 (1985).
- no further information until 2005
BABAR
- confirmed observation &
parameters of Z(3930)
- consistent with χc2(2P)
- observed in γγ X DD
- Data sample: 384 fb-1 collected at
Y(4S) CMS and below
D0 → K−π+ ¯ D0 → K+π− D0 → K−π+ ¯ D0 → K+π−π0 D0 → K−π+ ¯ D0 → K+π−π+π− D0 → K−π+π+π− ¯ D0 → K+π−π0 D+ → K−π+π+ D− → K+π−π−
PRD 81, 092003 (2010)
Radial excitations of χcJ
- predicted mass region 3.9 – 4.0 GeV/c2
- S. Godfrey and N. Isgur,
- Phys. Rev. D 32, 189 (1985).
- no further information until 2005
BABAR
- confirmed observation &
parameters of Z(3930)
- consistent with χc2(2P)
- observed in γγ X DD
- Data sample: 384 fb-1 collected at
Y(4S) CMS and below
χc2(2P): Overview
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PRD 81, 092003 (2010) D D 2-photon interaction: clean environment to study charmonia This analysis: Outgoing e+, e- not detected, lost in beampipe small scattering angle quasi-real γ large missing mass m2
miss = |pe++pe--pD-pD|2
small transversal momentum of resonance Spin-parity JP: 0±, 2±, 3+...
- J=1 suppressed for quasi-real γ (Yang)
- Charge conjugation C = +1
γ γ
D0 → K−π+ ¯ D0 → K+π− D0 → K−π+ ¯ D0 → K+π−π0 D0 → K−π+ ¯ D0 → K+π−π+π− D0 → K−π+π+π− ¯ D0 → K+π−π0 D+ → K−π+π+ D− → K+π−π−
χc2(2P): Mass & Width
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∝
- m2 − m2
t(m − mt)αe[−β(m−mt)]
χc2(2P) Mass: 3926.7 ± 2.7 ± 1.1 MeV/c2 Width: 21.3 ± 6.8 ± 3.6 MeV Γγγ[χc2(2P)]×BF[χc2(2P)DD] = 0.24 ± 0.05 ± 0.04 keV
Signal: convolution of relativistic Breit-Wigner with detector resolution parameterization Background model: Belle Mass: 3929 ± 5 ± 2 MeV/c2 Width: 29 ± 10 ± 2 MeV Γγγ×BF = 0.18 ± 0.05 ± 0.03 keV NSignal = 76 ± 17 Significance 5.8σ PRD 81, 092003 (2010)
χc2(2P): Angular Distribution & Spin
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Entries in signal region (from fit to data; m, Γ fixed) Data efficiency corrected, ε(cosθ) D θ DD Lab momentum D Spin 2, Helicity 2 (Helicity 0 contribution largely suppressed) Spin 0 Flat distribution
sin4θ
DD rest frame
Spin 2 most likely, Production, Decay JPC=2++ States with higher J unlikely Spin, Mass: χc2(2P) [PDG 2010]
PRD 81, 092003 (2010)
ηc(1S) & ηc(2S): Overview
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ηc(1S) [Charmonium ground state]
- discovered in 1980, but
- mass, width: large range depending on
production process
- Γ ≈ 15 MeV in radiative decays
Γ ≈ 30 MeV in B decays, 2-photon int. ηc(1S) mass ηc(1S) width PDG 2010
- Phys. Rev. Lett. 45, 1150–1153 (1980)
ηc(1S) & ηc(2S): Overview
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ηc(2S)
- many hints, already in 1976
but no significant signal
- discovered in 2002 in B decays by Belle
- bserved in 2-photon interaction,
double charmonium production
- only decay seen so far: KKπ
- precise mass may help discrimate
between charmonium models ηc(2S) mass PDG 2010
- J. S. Whitaker et al. (Mark I Collaboration),
- Phys. Rev. Lett. 37, 1596 (1976)
- C. Edwards et al., Phys. Rev. Lett. 48, 70 (1982)
- S. K. Choi et al. (Belle collaboration),
- Phys. Rev. Lett. 89, 102001 (2002)
ηc(1S) & ηc(2S): Results
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BABAR Data sample: 519 fb-1 collected at Y(2S,3S,4S) CMS in
γγ → K0
SK+π−
- Phys. Rev. D, 84, 012004 (2011)
)
2
) (GeV/c
! !
"
"
K
S
m(K 2.6 2.8 3 3.2 3.4 3.6 3.8 4 )
2
Events / ( 0.004 GeV/c 200 400 600 800 1000 (a)
3.3 3.4 3.5 3.6 3.7
- 50
50 (b)
ηc(1S) χc2(1P) ηc(2S) J/ψ ηc(2S) χc2(1P) Insets: Background subtracted J/ψ: background from ISR events
21
Signal: convolution of Breit-Wigner with detector resolution parameterization Background: Combinatorical: 4th order polynomial J/ψ background: Gaussian
)
2
) (GeV/c
! !
"
"
K
S
m(K 2.6 2.8 3 3.2 3.4 3.6 3.8 4 )
2
Events / ( 0.004 GeV/c 200 400 600 800 1000 (a)
3.3 3.4 3.5 3.6 3.7
- 50
50 (b)
ηc(1S) χc2(1P) ηc(2S) J/ψ ηc(2S) χc2(1P)
ηc(1S) & ηc(2S): Results
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γγ → K+K−π+π−π0
BABAR Data sample: 519 fb-1 collected at Y(2S,3S,4S) CMS in
γγ → K0
SK+π−
)
2
) (GeV/c !
- !
+
!
- K
+
m(K 2.6 2.8 3 3.2 3.4 3.6 3.8 4 )
2
Events / ( 0.004 GeV/c 200 400 600 800 1000 1200 1400 1600 (c)
3.3 3.4 3.5 3.6 3.7
- 50
50 100 150 (d)
ηc(1S) J/ψ χc2(1P) χc0(1P) ηc(2S) χc2(1P) χc0(1P) ηc(2S) Signals: First observation in K+K-π+π-π0: ηc(1S) [18 σ] ηc(2S) [5.3 σ] χc0(1P) [5.4 σ] (not allowed in KSK+π-) χc2(1P) [4.0 σ] No signal from χc2(2P) Insets: Background subtracted J/ψ: background from ISR events
- Phys. Rev. D, 84, 012004 (2011)
ηc(1S) & ηc(2S): Results
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ηc(1S) m = 2982.5 ± 0.4 ± 1.4 MeV/c2 m = 2984.5 ± 0.8 ± 3.1 MeV/c2 Γ = 32.1 ± 1.1 ± 1.3 MeV Γ = 36.2 ± 2.8 ± 3.0 MeV ηc(2S) m = 3638.5 ± 1.5 ± 0.8 MeV/c2 m = 3640.5 ± 3.2 ± 2.5 MeV/c2 Γ = 13.4 ± 4.6 ± 3.2 MeV
(KSK+π-) (K+K-π+π-π0) (KSK+π-) (K+K-π+π-π0)
- ηc(2S) mass, width: more precise than
world average
- PDG 2010 value
ηc(1S) m = 2980.3 ± 1.2 MeV/c2 Γ = 28.6 ± 2.2 MeV ηc(2S) m = 3637 ± 4 MeV/c2 Γ = 14 ± 7 MeV
- Phys. Rev. D, 84, 012004 (2011)
ηc(1S) & ηc(2S): Results
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ηc(1S) m = 2982.5 ± 0.4 ± 1.4 MeV/c2 m = 2984.5 ± 0.8 ± 3.1 MeV/c2 Γ = 32.1 ± 1.1 ± 1.3 MeV Γ = 36.2 ± 2.8 ± 3.0 MeV ηc(2S) m = 3638.5 ± 1.5 ± 0.8 MeV/c2 m = 3640.5 ± 3.2 ± 2.5 MeV/c2 Γ = 13.4 ± 4.6 ± 3.2 MeV
- First observation of decays to
K+K-π+π-π0 BF
- BF: upper limit for χc2(2P)
- Phys. Rev. D, 84, 012004 (2011)
(KSK+π-) (K+K-π+π-π0) (KSK+π-) (K+K-π+π-π0)
X(3872) Overview
Parameters
- charmonium-like state discovered by
Belle in B J/ψππK (2003) confirmed by CDF, D0, BaBar
- mass 3871.56 ± 0.22 MeV/c2
width < 2.3 MeV (90% CL)
- Decays to DD*
Radiative decays C-parity +1,
- Decay modes, angular distribution:
Spin-parity JP = 1+ or 2-
- No charged partner I=0
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- S. K. Choi et al. (Belle Collaboration),
- Phys. Rev. Lett. 91 (2003) 262001,
Interpretation
- conventional charmonium
χc1(2P) [1++ ], ηc2
(= 1D2) [2-+] mass and width inconsistent with prediction
isospin-violating decay not expected, but J/ψρ (ρ-like ππ-spectrum)
- DD* molecule
(at threshold: m(DD*) =3871.73 ± 0.29) Decays to J/ψω expected large BF for radiative decays and decays to J/ψππ disagree with molecular picture
- tetraquark state
neutral, charged partner states not found
- hybrid: mass too small
X(3872) Overview
Parameters
- charmonium-like state discovered by
Belle in B J/ψππK (2003) confirmed by CDF, D0, BaBar
- mass 3871.56 ± 0.22 MeV/c2
width < 2.3 MeV (90% CL)
- Decays to DD*
Radiative decays C-parity +1,
- Decay modes, angular distribution:
Spin-parity JP = 1+ or 2-
- No charged partner I=0
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- F. E. Close and P. R. Page, Phys. Lett. B 628, 215 (2005)
- F. E. Close, Contemp. Phys. 49, 343 (2008)
- N. A. Tornqvist, Phys. Lett. B 590, 209 (2004)
- E. Braaten and M. Kusunoki, Phys. Rev. D 69, 074005 (2004)
- E. S. Swanson, Phys. Lett. B 588, 189 (2004)
- M. B. Voloshin, Phys. Lett. B 604, 69 (2004)
- M. B. Voloshin, Phys. Rev. D 76, 014007 (2007)
- L. Maiani et al., Phys. Rev. D 71, 014028 (2005)
- S. K. Choi et al. (Belle Collaboration),
- Phys. Rev. Lett. 91 (2003) 262001,
X(3872)J/ψω: Motivation
Belle (2005) BJ/ψπππK: excess of events in πππ Interpretation as X(3872)J/ψω Old BABAR analysis (2008)
- BJ/ψπππK
- required tight mass window on 3π
0.7695 < m3π < 0.7965 GeV/c2 (B+) 0.7605 < m3π < 0.8055 GeV/c2 (B0) (ω signal region)
- Y(3940)J/ψω signal but
but no evidence of X(3872)J/ψω PRL 101, 082001 (2008)
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)
2
Events / 10 (MeV/c
+
B 200 400
a)
)
2
(GeV/c
! " J/
m
3.8 4 4.2 4.4 4.6 4.8 )
2
Events / 10 (MeV/c B 200 400
b)
B+ J/ψπ+π-π0K+ B0 J/ψπ+π-π0K0 hep-ex/0505037
kinematic limit
Y Y
2
Events/10 MeV/c 200 400 a)
3.85 3.9 3.95 200 400
c)
)
2
(GeV/c
! " J/
m 4 4.2 4.4 4.6 4.8
2
Events/10 MeV/c 200 400 b)
Data Fit function X(3872) Y(3940) Nonresonant
X(3872)J/ψω: Results
New BABAR analysis
- Full Data sample: 467x106 BB
- B+,0 J/ψπ+π-π0K+,0
same selection criteria, except 0.7400 < m3π < 0.7965 GeV/c2 (B+) 0.7400 < m3π < 0.8055 GeV/c2 (B0) (ω signal region)
- Lineshapes
X(3872): Gaussian (resolution) Y(3940): Breit-Wigner x phasespace Nonresonant: mJ/ψω x Gaussian x phasespace
- π+π-π0 from ω or non-resonant?
use ω-Dalitz-plot weights
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PRD 82, 011101(R) (2010) B+ J/ψπ+π-π0K+ B0 J/ψπ+π-π0K0
X(3872): m = 3873.0+1.8
- 1.6 (stat) ± 1.3 (syst) MeV/c2
Y(3940): m = 3919.1+3.8
- 3.4 (stat) ± 2.0 (syst) MeV/c2
Γ = 31+10
- 8 (stat) ±5 (syst) MeV
X Y X Y
2
Events/7.4 MeV/c 5 10
a)
2
Events/7.4 MeV/c 2 4
b)
)
2
(GeV/c
! 3
m 0.74 0.76 0.78
2
Events/7.4 MeV/c 5 10 15
c) MC S-wave MC P-wave
X(3872)J/ψω: Results
3π mass for events in X(3872) signal region: 3862.5 < mJ/ψω < 3882.5 GeV/c2
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PRD 82, 011101(R) (2010) B+ J/ψπ+π-π0K+ B0 J/ψπ+π-π0K0
Fit to 3π mass S-wave lineshape: χ2/NDF =10.2/5 P=7% P-wave lineshape: χ2/NDF =3.5/5 P=62% negative parity favored JPC = 2-+ more likely than 1++
nominal ω mass (πππ suppr. near kinem. limit)
Conclusions
Charmonium spectroscopy:
- Many new states above DD threshold discovered
Interpretation: - Conventional charmonium states
- Exotic states
- Recent results with B-factory/BaBar contribution presented:
- Confirmation of χc2(2P)
- Observation of ηc(2S) K+K-π+π-π0
- Evidence of X(3872) J/ψω
configuration of X(3872) still under investigation
- Limited statistics
redo analyses using full data samples new & future experiments (LHCb, SuperB, Belle-2)
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cc states
Additional Material
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Exotic Charmonium-like states
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χc2(2P): Cross section
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Spin 2
Cross section:
(εB: mean reconstruction efficiency including D branching fractions)
Use 2-photon-generator GamGam: Calculate cross-section σ depending on two-photon width Γγγ Compare with data (for J = 2)
ΓγγxBF(Z(3930)DD)
= 741 ± 166 fb
Spin 2 Spin 0
- exp. σ
σ(e+e− → γγ → Z(3930) → DD) = NSignal
B R Ldt
solid line: values from GamGam MC generator
PRD 81, 092003 (2010)
X(3872)J/ψω: ω-Dalitz-plot weights
X(3872) final state: J/ψπ+π-π0
- π+π-π0 from ω or non-resonant?
- Different angular distributions
Weight events with 5/2(1-3cos2θh) small weight for non-resonant π+π-π0 ω signal remains, background projected away Weighting method used in several BaBar analyses
- B. Aubert et al., Phys. Rev. D 78, 034008 (2008)
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- T. Schröder - PANIC 11
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π+ π0 θh π+π- rest frame PRD 82, 011101(R) (2010)
X(3872)J/ψω: ω-Dalitz-plot weights
July 28, 2011
- T. Schröder - PANIC 11
35
mES for events in X(3872) signal region weighting: Background reduced, signal yield constant Crosscheck: events in ηπ+π‐π0 signal region (B J/ψηK) no weighting weighting Signal: ω resonance no weighting PRD 82, 011101(R) (2010)