Hidden charm spectroscopy from B-factories
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Transcript Hidden charm spectroscopy from B-factories
ITEP Winter School 2012, Feb 18 2012
Quarkonium, experiment
Roman Mizuk
ITEP, Moscow
BELLE Collaboration
1
Contents
B-factories observed CP violation in B decays
Confirmed Kobayashi-Maskawa mechanism Nobel prize 2008
Other highlights:
many rare B decays
D0 mixing
Unexpected bonus :
new exotic quarkonium(-like) states
this lecture – experiment
Mikhail Voloshyn – theory
2
X(3872)
CP
B→Xsγ
630
365
Belle citation count
548
Phys.Rev.Lett.91 262001, (2003)
9th anniversary!
Outline
Conventional quarkonium
X(3872)
1– – family
_
Charged states with bb pairs
Heavy quarkonium
Approximately non-relativistic
System
_ _
uu,dd
_
ss
_
cc
_
bb
Ground triplet state
(v/c)2
Name
Mass, MeV
, MeV
r
800
150
~1.0
f
1000
4
~0.8
y
3100
0.09
~0.25
9500
0.05
~0.08
“hydrogen atom” of QCD
Rich array of bound states
Charmonium Levels
M, GeV
4.50
S = s1 + s2 = {0, 1}
J=S+L
n – radial quantum number
y(4415)
4.25
y(4160)
c2(2P)
4.00
y(3770)
c(2S)
2M(D)
y(2S)
hc
3.50
c2
c1
c0
L=0 S=0
0– +
c (1S), c(2S)
L=0 S=1
1– –
J/y , y(2S) ,
y(4040) , y(4415)
L=1 S=0
1+ –
hc(1P)
L=1 S=1
0+ +
1+ +
2+ +
c0(1P)
c1(1P)
c2(1P), c2 (2P)
L=2 S=1
1– –
y(3770), y(4160)
3.25
J/y
3.00
2.75
c
0– +
1– –
C = (–1)L+S
JPC
y(4040)
3.75
P = (–1)L+1
1+ –
(0,1,2)++
JPC
n2S+1LJ y(3770) = 13D1 + 0.2 23S1
6
Bottomonium levels
notation :
•y
• subscript “c” ”b”
7
Observation of J/y
BNL AGS
SLAC SPEAR e+e- annihilation
Mark I first 4 detector
extracted 28 GeV p-beam
Be target
, nb
, nb
e e hadrons
p + Be → e+e- + X
Richter et al.
e e
, nb
Ting et al.
Width of t
M(
e+e-
)
JPC=1– –
ee ee
E c.m.s.
8
Observation of J/y
Nov 1974 – revolution
J/y is heavy and very narrow smth new
Observation of 4th quark
Quarks were widely recognized as particles
Beginning of modern physics
9
Why J/y is so narrow?
, MeV
0.093 ± 0.002
0.327 ± 0.011
27 ± 4
11 ± 1
27 ± 1
85 ± 12
J/y
y(2S)
c
c0
y(3770)
y(4040)
C-parity
1/3 2/3
c
~as3
‾
c
c
‾
c
g
c
g
‾
c
g
e,,q
DD*
D*D*
DD
at
threshold
e,,q
¯
For J/y strong decays are suppressed so much
that EM decays are competitive.
10
Observation of y family
JPC of photon produced in e+e- collisions
1– –
R = (e+e- hadrons) / 0(e+e- +-)
0 = 4a2 / 3s
11
Observation of cJ and c
y(2S) cJ g
cJ J/y g
y(2S) c g
0– + 1– –
E1
E1
M1
(0,1,2)+ +
12
Observation of
cJ
c
– DASP, DESY (1976)
– Crystall Ball, SLAC (1980)
Crystal Ball: sphere
with 900 NaI crystals
13
Charmonium before B-factories
1980 – 2002 : no new charmonium states
14
Bottomonium before B-factories
1– –
(0,1,2)+ +
Lederman
(1S), (2S) – 1977 FNAL
pA collisions
e+e- colliders:
DORIS, DORIS-II (DESY)
CESR (Cornell)
VEPP-4 (Novosibirsk)
1985 – 2008 : no new
bottomonium states
15
B-factories
Data taking : 2000 – 2010
e+e– → (4S)
Ecms ~ 10.6 GeV
@ KEK
@ SLAC
16
Charmonium production at B factories
in B decays
γγ fusion
c(2S)
c2(2P)
Any quantum numbers can be produced,
to be determined from angular analysis.
double charmonium production
initial state radiation
JPC =
JPC = 0± +, 2± +
1– –
Only JPC = 0± + observed so far.
17
Observation of hc(1P)
CLEOc 2005 (c-Factory)
y(2S) hc(1P) 0
0
1– –
1+ –
18
QCD potential
Schrödinger equation
V (r )
a s (r )
one-gluon exchange,
asymptotic freedom
r
r
confining potential,
“chromoelectric tube”
There are other
parameterizations,
shapes are similar
for 0.1 < R < 1 fm.
c J/y c2 y(2S)
19
Predictions of
Potential Models
State
Experim
20
M, GeV
Predictions of Potential Models
Potential models reproduce also
annihilation widths
J/y, y(2S)→ℓ+ℓc, cJ → gg and
radiative transitions btw. charmonia.
JPC
21
X(3872)
22
PRL91,262001 (2003)
X(3872) was observed by Belle in
B+ → K+ X(3872)
→ J/ψ π+ π-
y(2S)
X(3872)
Confirmed by CDF, D0 and BaBar (+LHCb)
Recent signals of X(3872) → J/ψ π+ πpp collisions
PRL103,152001(2009)
arXiv:0809.1224
direct production
only 16% from B
PRL93,162002(2004)
PRD 77,111101 (2008)
23
Puzzles of X(3872)
_
2003 revolution
Mass above DD threshold, but very narrow
M = 3871.63 0.19 MeV , Γ < 1.2 MeV (90% C.L.)
X(3872) → J/ψ π+ π-
M(+-)
+- pair is produced via r0
X(3872) is observed in isospin-violating mode
Bf(XJ/y ) / Bf(XJ/y r) = 0.8 0.3
confirm even C-parity
Bf(XJ/y g) / Bf(XJ/y r) = 0.21
_ 0.06
expect for cc ~20
Mass close to D*0D0 threshold: m = – 0.09 0.34 MeV
Very unlikely that X(3872) is charmonium
24
Exotic interpretations
u
c
tetraquark
c u
compact diquarkdiantiquark state
Tetraquark
Predictions:
π c
c
u
u
molecule
two loosely bound
D mesons
Maiani, Polosa, Riquer, Piccini;
Ebert, Faustov, Galkin; …
1. Charged partners of X(3872).
2. Two neutral states ∆M = 8 3 MeV,
one populate B+ decay, the other B0.
Experiment:
BaBar, Belle : J/y+0 channel no charged partner
CDF : signal shape in J/y+- channel
Belle : production in B+ and B0 decays
no 2nd neutral resonances
Tetraquarks are not supported by any experimental evidence.
25
Molecule
Swanson, Close, Page; Voloshin; Kalashnikova, Nefediev; Braaten; Simonov, Danilkin ...
Mass close to D*0D0 threshold: m = – 0.09 0.34 MeV
_
a few fm
Weakly bound S-wave D*0D0 system
JP = 1 +
Large isospin violation 8 MeV difference btw D*+D- and D*0D0 thresholds.
_
Large production rate in pp and in B decays admixture of c1(2P).
_
Predicts different line shapes for J/y+- and D*0D0 modes:
Bound state
J/y+-
Virtual state
D0D00
D0D00
D*0D0
J/y+-
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X(3872) → D*0D0
B K
arXiv:0810.0358
D0D*0
D*→Dγ
PRD77,011102(2008)
4.9σ
B+& B0 D0D*0K
D*→D0π0
605 fb-1
347fb-1
Flatte vs BW similar result: 8.8σ
~2
Bf(XDD*) / Bf(XJ/yr)
= 9.5 3.1
Shifted mass and higher
width are in accord with
molecular model
27
Molecule (2)
Bound or virtual?
c1(2P) admixture?
Simultaneous analysis of
J/y and DD* data
Braaten, Stapleton
Zhang, Meng, Zheng
arXiv: 0907.3167
0901.1553
Kalashnikova, Nefediev arXiv:0907.4901
State
c1(2P)
admixture
Belle data
bound
~ 30%
BaBar data
virtual
~0
~2 experimental difference reverses conclusion
Present statistics are insufficient to constrain theory
28
Angular analysis
CDF, BELLE all JPC except 1++ and 2-+ are excluded
MC
JPC= 2-+
MC
JPC=1++
cosqX
cosqX
cos
cos
cosql
cosql
cosqr
cosqr
29
Nature of binding force
One pion exchange ?
Coupled channel resonance ?
D
c1
D
c1
D*
c1
D*
30
“Loose ends”
_
Improve line-shape measurement for D*0D0
Super B-factories
Angular analysis to discriminate JPC=1++ and 2 – +
LHCb
More decay channels : 00y, +-c
BELLE ?, LHCb, Super B-factories
31
–
–
1
family
32
Use ISR to measure
open&hidden charm exclusive final states
eγ+
e–
e–
cc
e+
s =(Ecm– Eγ)2 – p2
ISR at B factories
Quantum numbers of final states are fixed JPC
= 1– –
Continuous ISR spectrum:
• access to the whole √s interval
• αem suppression compensated by huge luminosity
• comparable sensitivity to energy scan (CLEO-c, BES)
33
e+e– → gISR J/y (y) +- : Y(4008,4260,4360,4660)
PRL99, 182004
550/fb
arXiv: 0808.1543
454/fb
PRL99, 142002
670/fb
PRL98, 212001
298/fb
–
Above DD threshold, decay to open charm?
34
Y(4660)
ψ
y (4415)
Y(4260)
Y(4325)
Y(4360)
y (4160)
ψ(4160)
ψ
y (4040)
Y(4008)
ψ
y (3770)
(e+e–→hadrons)
R(s) =
– Ruds
(e+e–→μ+μ–)
No evidence for Y’s → hadrons
Durham Data Base
ee is small. Since eeB(Yy) is finite (is measured) B(Yy) is big
X.H. Mo et al, PL B640, 182 (2006)
(Y(4260) → J/y+-) > 0.508 MeV @ 90% CL
Much larger than measured
charmonium widths:
(y→ J/y+-) = 0.044 ± 0.008 MeV
(y → J/y+-) = 0.104 ± 0.004 MeV
35
Interpretation
PRD80, 091101R (2010)
c
c
hybrid
g state with excited qluonic
degree of freedom
Y(4260) ψ(4415)
DD*
–
–
hybrid → D**
D
→
(D*π)
D
1
c c–
π
π
hadrocharmonium
charmonium embedded
into light hadron
predictions?
36
DD
DD*
D*D*
DDπ
DD*π
Λ+c Λ–c
D(*)+s D(*)–s
Inclusive cross-section
is saturated by
exclusive contributions
37
Charged resonances
_
with bb
(5S)
Zb(10610)+
+
Zb(10650)
arXiv:1103.3419
(1S)+ (2S)+ (3S)+ hb(1P)+ hb(2P)+ -
arXiv:1110.2251
38
Integrated Luminosity at B-factories
(fb-1)
asymmetric e+e- collisions
> 1 ab-1
On resonance:
(5S): 121 fb-1
(4S): 711 fb-1
(3S): 3 fb-1
(2S): 24 fb-1
(1S): 6 fb-1
Off reson./scan :
~100 fb-1
530 fb-1
On resonance:
(4S): 433 fb-1
(3S): 30 fb-1
(2S): 14 fb-1
Off reson./scan :
~54 fb-1
39
e+e- hadronic cross-section
BaBar PRL 102, 012001 (2009)
(1S)
(5S)
(6S)
(4S)
(2S)
(3S)
(4S)
Belle took data at
E=10867 1 MэВ
2M(B)
2M(Bs)
_
e+ e- ->(4S) -> BB, where B is B+ or B0
_
_
_
_
_
e+ e- -> bb ((5S)) -> B(*)B(*), B(*)B(*), BB, Bs(*)Bs(*), (1S) , X …
study
40
Puzzles of (5S) decays
Anomalous production of (nS) +PRL100,112001(2008)
(MeV)
PRD82,091106R(2010)
line shape
of Yb
102
(5S)
Similar effect in charmonium?
Y(4260) with anomalous (J/y +-)
assume Yb close to (5S)
to distinguish energy scan
shapes of Rb and () different (2)
41
Observation of
hb(1P) & hb(2P)
42
Trigger
CLEO observed e+e- → hc +– @ ECM=4170MeV
(hc +–) (J/y +–)
PRL107, 041803 (2011)
Y(4260)
Hint of rise in (hc+-)
@ Y(4260) ?
4260
Y(4260)Yb search for hb(nP)+- @ (5S)
43
Introduction to hb(nP)
_
(bb) : S=0 L=1 JPC=1+
Expected mass
(Mb0 + 3 Mb1 + 5 Mb2) / 9
MHF test of hyperfine interaction
For hc MHF = 0.00 0.15 MeV,
expect smaller deviation for hb(nP)
Previous search
arXiv:1102.4565
PRD 84, 091101
BaBar
3.0
(3S) → 0 hb(1P)
MM(+-)
44
Introduction to hb(nP)
_
(bb) : S=0 L=1 JPC=1+
Expected mass
(Mb0 + 3 Mb1 + 5 Mb2) / 9
MHF test of hyperfine interaction
For hc MHF = 0.00 0.15 MeV,
expect smaller deviation for hb(nP)
Previous search
arXiv:1102.4565
PRD 84, 091101
BaBar
3.0
(3S) → 0 hb(1P)
MM(+-)
45
(5S) hb +- reconstruction
hb → ggg, gb (→ gg) no good exclusive final states
reconstructed
“Missing mass”
M(hb) = (Ec.m. – E*+-)2 – p+* 2 Mmiss(+-)
(1S)
hb(1P) (2S) hb(2P) (3S)
46
Results
121.4 fb-1
Significance w/
systematics
hb(1P) 5.5
hb(2P) 11.2
47
Hyperfine splitting
Deviations from CoG (Center of Gravity) of bJ masses
hb(1P) (1.7 1.5) MeV/c2 consistent with zero, as expected
2
hb(2P) (0.5 +1.6
-1.2 ) MeV/c
Ratio of production rates
spin-flip
=
for hb(1P)
for hb(2P)
no spin-flip
Process with spin-flip of heavy quark is not suppressed
Mechanism of (5S) hb(nP) +- decay violates
Heavy Quark Spin Symmetry
48
Resonant structure of
(5S)hb(nP)
+
49
M(hb–), GeV/c2
Resonant structure of (5S) hb(1P) +phase-space MC
M(hb+), GeV/c2
50
phase-space MC
fit Mmiss(+–)
in M(hb) bins
hb(1P) yield / 10MeV
M(hb–), GeV/c2
Resonant structure of (5S) hb(1P) +121.4 fb-1
M(hb+), GeV/c2
Zb(10610), Zb(10650)
M(hb), GeV/c2
Fit function
_
Results
MeV/c2 ~BB* threshold
M1 =
1 =
MeV
a=
_
18 (16 w/ syst)
MeV/c2 ~B*B* threshold
M2 =
2 =
Significance
MeV
non-res.~0
=
degrees
51
phase-space MC
fit Mmiss(+–)
in M(hb) bins
hb(1P) yield / 10MeV
M(hb–), GeV/c2
Resonant structure of (5S) hb(2P) +121.4 fb-1
M(hb+), GeV/c2
hb(1P)+M1 =
1 =
M2 =
2 =
hb(2P)+MeV/c2
MeV/c2
MeV
MeV
MeV/c2
MeV/c2
MeV
MeV
Significances
6.7 (5.6 w/ syst)
a=
=
M(hb), GeV/c2
degrees
non-res.~0
degrees
non-res. set to zero
52
Resonant structure of
(5S)(nS)
+
(n=1,2,3)
53
(5S) (nS) + +-
(n = 1,2,3)
(3S)
(2S)
(1S)
reflections
Mmiss (+-), GeV/c2
54
(5S) (nS) + +-
(n = 1,2,3)
purity 92 – 94%
(3S)
(2S)
(1S)
Mmiss (+-), GeV/c2
55
(5S) (nS) +- Dalitz plots
(1S)
(2S)
(3S)
56
(5S) (nS) +- Dalitz plots
(1S)
(2S)
(3S)
Signals of Zb(10610) and Zb(10650)
57
Results of Dalitz plots analyses
(2S)
(1S)
(3S)
58
Results of Dalitz plots analyses
(1S)
(3S)
(2S)
59
Summary of Zb parameters
Average over 5 channels
M1 = 10607.22.0 MeV
1 = 18.42.4 MeV
M2 = 10652.21.5 MeV
2 = 11.5 2.2 MeV
Angular analysis JP = 1+ for both Zb
60
Summary of Zb parameters
Average over 5 channels
M1 = 10607.22.0 MeV
1 = 18.42.4 MeV
o
= 180
M2 = 10652.21.5
MeV
= 0o
hb(1P) yield / 10MeV
2 = 11.5 2.2 MeV
M(hb), GeV/c2
Zb(10610) yield ~ Zb(10650) yield in every channel
Relative phases: 0o for and 180o for hb
61
Heavy quark structure in Zb
Bondar et al. PRD84 054010 (arXiv:1105.4473)
Wave func. at large distance – B(*)B*
1 1
'
Z
1
Qq
b
0
Qq
bb 0
bb1
2
2
1 1
Z
1
Qq
b
0
Qq
bb 0
bb1
2
2
Explains
• Why hb is unsuppressed relative to
• Relative phase ~0 for and ~1800 for hb
• Production rates of Zb(10610) and Zb(10650) are similar
• Widths
–”–
Predicts
• Existence of other similar states
Other Possible Explanations
• Coupled channel resonances (I.V.Danilkin et al, arXiv:1106.1552)
• Cusp
(D.Bugg Europhys.Lett.96 (2011),arXiv:1105.5492)
• Tetraquark
(M.Karliner, H.Lipkin, arXiv:0802.0649)
62
_
States that do not fit qq table
QWG, arXiv:1010.5827
63
States that do not fit qq table
BZK
QWG, arXiv:1010.5827
multiquark candidates
Z(4430)+
widths 100–200 MeV
difficult to interpret
rescattering?
Pakhlov PLB702,139(2011)
64
Conclusions
Quark Model provides good description of quarkonium
below open flavor threshold
Above threshold new regime : light quarks become important
molecules, hadrocharmonium (... ?)
observations at B-factories
BELLE established new type of elementary particles
We knew that neucleons can form bound states (deutron, nuclei)
Now we know that D and B mesons can form bound states
“Meson chemistry”
65