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Resonances in Ψˊ→π+π-π0 and
study of Ψˊ→VP decays at BESII
Zheng Wang
IHEP, Beijing,10039 China
For BES Collaboration.
Topical Seminar on Frontier of Particle physics 2004: QCD and Light Hadrons
Sep. 26-30, 2004, Beijing, China
Introduction
Outline
• Introduction
• PWA of Ψˊ→π+π-π0
• Study of Ψˊ→VP
((,,)(,,ˊ),K*K )
• Summary
IHEP
Zheng Wang
Introduction
BES Detector and the data
14
14 Million
12
10
8
6
4
2
0
Tracking: Main Drift Chamber
Photon ID: BSC
Hadron ID: MDC(dE/dx)+TOF
IHEP
Zheng Wang
MKI
MKII
MKIII CBAL BESI
BESII CLEOc
6.42pb-1 continuum data
(Ecm=3.65GeV) was used to
estimate the continuum bg.
Introduction
From “12% rule” to “ρπ puzzle”
J/ and ’ hadronic decays proceed via 3 gluons or a virtual
photon, neglect the difference of S at J/ and ’ , the ratio
of ’ and J/ BRs is :
B( (2S) ggg ) 3s ( (2S)) B( (2S) e e )
Qh= B(J / ggg ) 3 (J / ) B(J / e e ) ≈12%
s
•Suppression in VP mode ( & K*K ) revealed by MARK-II
{ M.E.B. Franklin et al, PRL 51 (1983) 963 }
• Suppression confirmed by BESI with higher sensetivity
{ Y.S.Zhu, Proc. of ichep ‘96, p.507 }
IHEP
Zheng Wang
Introduction
ρπ Puzzle
suppressed
Qh values of main J/Ψ and Ψˊhadronic decays in PDG and previous BES results
“12% rule” holds for many exclusive hadronic final state, but violated in
Ψˊ → VP,VT decays compared with the expectation of “12% rule”, the
outmost are Ψˊ→ρπ and K*K decays.
IHEP
Zheng Wang
Introduction
Theoretical explanations
Brodsky, Lepage, Tuan: { PRL 59 (1987) 621 }
Intermediate vector glueball
Chaichian & Torngvist : { NP B323 (1989) 75 }
Hadronic form factor
Pinsky :
{ PL B236 (1990) 479 }
Generalized hindered M1 transition
Li-Bugg-Zou
{ PR D55 (1997) 1421 }
Final-state interaction
Brodsky-Karliner
{ PRL 78 (1997) 4682 }
Intrinsic charm |qqcc> Fock components
of the light vector mesons
Chen-Braaten
{ PRL 80 (1998) 5060 }
Fock state with cc pair in a color-octet
IHEP
Zheng Wang
Introduction
Theoretical explanations
Gerard-Weyers
{ PL B462 (1999) 324 }
cc annihilation into 5g via 2 steps
Feldmann-Kroll
{ PR D62 (2000) 074006 }
Decays thru light-quark Fock component
by a soft mechanism
Suzuki
{ PR D63 (2001) 054021 }
(2S) - vector glueball mixing
Rosner
{ PR D64 (2001) 094002 }
(2S) - (1D) mixing
J. P. Ma
{ PR D65 (2002) 097506 }
Relativistic Correction
IHEP
Zheng Wang
hep-ex/0408047 submitted to PRL
PWA of Ψˊ→π+π-π0
14M Ψˊdata
ΨˊData
2 good track,2 more good gamma
One π ID.
electron veto
µ veto
Continuum Data
Kinematic fit
J/Ψ→μμ decay veto
Mass of π0 cut
Samples of Ψˊ→π+π-π0
IHEP
Two photons invariant mass
Continuum contribution are subtracted
incoherently in 3 πevents.
Zheng Wang
hep-ex/0408047 submitted to PRL
PWA of Ψˊ→π+π-π0
ρ(770) band
J/Ψ→μμ
decay veto
Except the suppression in Ψˊdecay, Dalitz plots for J/Ψand
Ψˊ +π-π0 are very different.
IHEP
Zheng Wang
hep-ex/0408047 submitted to PRL
PWA Ψˊ→ π+π-π0
•ML fit for the Dalitz plot.
π
Ψˊ
ρ
•Helicity amplitude:
π
π
•ρ and its excited states.
•ρ was described by Gounaris-Sakurai(GS) parameter.
IHEP
Zheng Wang
VP mode
PWA of Ψˊ→π+π-π0
• Ψˊ→ρ(770)π
decay
mode is observed for
the first time.
• in Ψˊ→3π process.
(770)π, (2150) π
are dominant.
3π: (770)π: (2150) π
= 1:0.28±0.03:1.07±0.09
IHEP
Zheng Wang
VP mode
PWA of Ψˊ→3π
Results on BRs
_____________________________________________________________________________________________________________________
Ψˊ + - 0
18.1 1.8 1.9
Ψˊ
5.1 0.7 0.8
PDG04 (10 – 5 )
8 5
< 8.3
Ψˊ
(2150) + - 0
19.4 2.5
________________________________________________
1st measurement or precision much improved.
BES Preliminary
BESII (10 – 5 )
BR
Interference between ρand its excited states was taken
into account.
IHEP
Zheng Wang
hep-ex/0407037 , submitted to PRL
Ψˊ→K*(892)K KSK+- +c.c.
K*
K*0
Dalitz plot in ˊK*(892)K KSK
IHEP
Zheng Wang
hep-ex/0407037 , submitted to PRL
Ψˊ→K*(892)K
K*
9.6±4.2 Evts.
K*0 65.6±9.0 Evts.
Br±(2.9±1.3±0.4)10 –5
5.2±2.7
IHEP
Zheng Wang
Ψˊ→K0 K* (892)0
Br0(15.0±2.1±1.9)10 –5
isospin-violation
BES Preliminary
Ψˊ K K* (892)±
VP model
Ψˊ→ , 0 ,ˊ,ωη,ωηˊ
Ψˊ’
( ’ +-, +- )
Ψˊ→φη
Ψ→φπ0 not
seen
Ψˊ→ωη
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Ψˊ→ωηˊ
Ψˊ→ωηˊ
(ηˊ→γππ)
(ηˊ→ηππ)
Zheng Wang
VP mode, EM process
EM Process: 0,,ˊ at Ecm=3650,3686,3773 MeV
For EM processes at continuum e+e- (VP) 0 , , ˊ
Pvp(S)=q3vp/3
; q3vp – momentum of V or P ;
Fvp(s) – form factor .
For EM processes at Ψˊ (VP) 0, , ’
=R+cont
(INT 0, P.Wang et al, PL B593 (2004) 89 )
interference
BRs (M Ψ(2S) ) & Fvp obtained simultaneously.
IHEP
Zheng Wang
VP model ,EM process
EM Process: 0,,ˊ at Ecm=3650,3686,3773 MeV
ωπ0
ρη
ρηˊ
Ecm=3650 MeV L = 6.42 pb-1
IHEP
Ecm=3686 MeV N Ψ(2S) = 14M
Zheng Wang
Ecm=3773 MeVL = 17.3 pb-1
VP mode ,form factor
0 form factor
Curve B –V.Chernyak,
hep-ph/9906387
F(0) ~ 1/s2
IHEP
Zheng Wang
BES Preliminary
Curve A -- J.Gerard,
PLB425(1998)365
F(0) ~ 1/s
VP model
Results of Ψˊ→VP
’
Nevt
(770)
B(’)
(10-5)
5.1 0.7 0.8
(2150)
B(J/) (10-4)
PDG04
127
9
Q (%)
0.40 0.08
.2
19.4 2.5 11
2.1
13.2 4.8
1.78 0.65 0.22
1.93 0.23
9.2 3.7
’
2.5 1.7
1.87 1.27 0.36
1.05 0.18
17.8 12.9
14.0 4.8
1.88 0.64 0.32
4.2 0.6
4.5 1.8
<3.3
< 1.1
’
4.1 2.8
4.3 2.9 1.0
1.67 0.25
< 3.0
< 0.3
< 0.068
17.8 5.3
3.5 1.0 0.6
6.5 0.7
5.4 1.9
’
9.1 3.6
3.2 1.3 0.6
3.3 0.4
9.7 4.5
K+K*-+c.c.
9.6 4.2
2.9 1.3 0.4
50
4
0.58 0.27
K0K*0+c.c.
65.6 9.0
15.0 2.1 1.9
42
4
3.6 0.8
15.8 1.6
< 0.7
26 19
BES Preliminary
Test of pQCD 12% Rule
PQCD 12% Rule test using BESII Ψˊ→VP results
IHEP
Zheng Wang
Summary
Measured BRs or upper limits of VP channels:
ˊ (,,)(,,’), K*K (12 channels)
In ˊ +π-π0, (770)π decay was observed for the first
time. (770) & (2150) dominant.
Observe large isospin-violation in ˊ K*K channel.
F(0,,ˊ) at Ecm=3650, 3686, 3773 MeV measured.
Tested 12% rule for all these decay modes. Some suppressed,
some consistent. 12% rule seems to be too simplistic. A
theory which can quantitatively describe these data is
desired. More and accurate J/ ,ˊ and continuum data are
helpful to elucidate the J/ and ˊ properties as well as
properties of strong interaction.
Thanks !
IHEP
Zheng Wang
谢谢!
VP mode
BESII .VS. CLEO-c
• Most channels BRs
are consistent.
• BES BR()>CLEO
by ~ 3 because the
different treatment of
continuum BG. and
the interference
between ρ(770) and its
excited state in PWA.
• BR(K*0K0) are
deviated
Upper limit @90% C.L.
IHEP
Zheng Wang
VP mode, EM process
Br(Ψˊ VP) and FVP(S) for 0,,ˊ
IHEP
Zheng Wang
,ˊ at Ecm=3650,3686,3773 MeV
e+e- at
Ecm=3650MeV
Ψˊ
e+e- ’ at
Ecm=3650MeV
Ψˊ ’
IHEP
Zheng Wang
e+e- at
Ecm=3773 MeV
e+e- ’ at
Ecm=3773 MeV