Title: Excited Charmonium in e e- annihilation and B decay
1 Excited Charmonium in ee- annihilation and
B decay
- K-T Chao
- Peking University
- QWG Workshop, Beijing, Oct. 12-15, 2004
2 - 1. Double Charm Production in ee? Annihilation
- Inclusive J/? cc\bar production
- Exclusive J/? ?C (?C0(1P), ?C(2S),) production
- Search for excited ?C0(2P), ?C(3S)
- Has ?C0(2P) or ?C(3S) been observed at 3.94GeV
in ee- ? J/? cc\bar by Belle? - 2. Charmonium in B exclusive decays with QCD
factorization - Predicted rates too small (but infrared safe) for
- B? J/? K, ?CK, ?C1K, ?(3770)K (with
S-D mixing) - Infrared divergences in
- B? ?C0K, ?C2K , hC K
- The role of NRQCD color-octet in
exclusive processes?
3Double Charm Production in ee? Annihilation
- INCLUSIVE PRODUCTION
- ee?? J/?cc\bar
- Theory via ONE virtual photon
- Cho-Leibovich (1996)
- Yuan-Qiao-Chao (1997)
- Baek-Ko-Lee-Song (1998)
- pQCD predicts cross section at ?s ? 10.6 GeV ?
0.10-0.15pb
4- Belle data ? 0.9pb, PRL89(2002)142001
- larger than theory by at least 5 times. Higher
order relativistic and QCD radiative corrections?
5Double Charm Production in ee? Annihilation
- EXCLUSIVE PROCESS
- ee? ? J/? ?C (?C0, ?C(2S),)
- Theory via ONE virtual photon
- (Braaten-Lee (2003) PRD67, 054007)
- (Liu-He-Chao (2003) PLB557, 45)
- (Hagiwara-Kou-Qiao (2003) PLB570, 39)
- pQCD prediction smaller again by an order of
magnitude than - Belle cross section ? 33 femto-barn for
- ee? ?J/??C (decaying to ? 4 charged) (PRL89,
142001)
6 Double Charm Production in ee? Annihilation
- Theory via TWO photons
- Enhanced by photon fragmentation (small photon
virtuality 4mc2?? s ) - Suppressed by QED over QCD couplings
- Exclusive J/? J/? enhanced (Bodwin-Braaten-Lee,
PRL90, 162001), the same order as for J/? ?C
(but ruled out later by data) - Inclusive J/? cc\bar via two photons prevail over
via one photon when ?s ? 20GeV (Liu-He-Chao,
PRD68, R031501)
7Double Charm Production in ee? Annihilation
- Annihilation into TWO photons can NOT solve
problems for both inclusive and exclusive double
charm production - Both data larger than pQCD predictions by about
an order of magnitude - Color octet contributions are negligible
- pQCD factorization fails(?)
- C glueballs misidentified as ?C (?) (Brodsky
et al.) excluded!
8- Search for excited charmonium states in ee-
annihilation - (Liu, He Chao, hep-ph/0408141)
- Predicted relative production rates seem to be
compatible with data (Belle PRL89(2002)142001
hep-ex/0407009) - See also ICHEP04/Belle, Pakhlov et al.
- In ee- ? J/?(cc)res ee- ? ?(2S)(cc)res
- ?c, ?c0, ?c(2S) seen
- ?c1, ?c2, J/?, ?(2S) not seen
- Calculate the production cross sections, and
Search for excited ?C0(2P), ?C(3S) - Test the production mechanisms
- Search for new charmonium states
9ee- ? J/?(cc)res with L155 fb-1
ICHEP04/Belle, Pakhlov et al.
- Study recoil mass against J/?
- Mrecoil ?((Ecms EJ/?)2 PJ/?2)½
- Include all known charmonium states
- ?c, J/?, ?c0, ?c1, ?c2, ?c, ?(2S)
N M GeV/c ?
?c J/? ?c0 ?c1 ?c2 ?c ?(2S) 235 ? 26 -14 ? 20 89 ? 24 10 ? 27 164 ? 30 -26 ? 29 2.972?0.007 fixed 3.407 ?0.011 fixed 3.630 ?0.008 fixed 10.7 -- 3.8 -- 6.0 --
- Yields for J/?, ?c1, ?c2, ?(2S) 0 ? set UL
?c, ?c0, ?c confirmed
J/?, ?c1, ?c2, ?(2S) not seen
10ee- ? ?(2S)(cc)res
- Similar analysis for reconstructed ?(2S)?J/???
- Fit to Mrecoil (?(2S)) spectrum
N ?
?c J/? ?c0 ?c1 ?c2 ?c ?(2S) 36.7? 10.4 6.9 ? 8.9 35.4 ? 10.7 6.6 ? 8.0 36.0? 11.4 -8.3 ? 8.5 4.2 -- 3.5 -- 3.4 --
- 5.3 ? observation of sum of ?c, ?c0, ?c
- Similar tendency ?c, ?c0, ?c seen J/?, ?c1,
?c2, ?(2S) not seen
11Evidence for new charmonium
- The reconstruction and selection procedure is not
changed since the first Belle paper - Extend the studied region
- No signal of X(3872)
- Significant peak at M3.940?0.011 GeV/c2
- N148?33 (4.5?)
- The width is surprisingly narrow lt resolution (
32 MeV)
12X(3940) could be ?C0(2P) or ?C(3S)? ?C0(2P)
0 mass consistent with potential model
estimate. narrow width node in wave function may
cause suppression for DDbar (see e.g. Eichten et
al) but 0 can not decay to DDbar. ?C(3S)
0- mass lower than potential model expected
close or even heavier than ?(3S)
?(4040) decay 0- can not decay to DD\bar, and
the allowed DD\bar could be suppressed by the
node structure--natural explanation for the
observed decay width and modes? Unkonw 1 if
it is ?C1(2P), why ?C1(1P) not observed? Another
1? Is this X(3940) related to the J/??
structure at 3940 MeV in B decay? Branching ratio
?C0(2P)? J/?? seems too large? Width smaller than
90 MeV.
13Infrared Divergences in B? ?CJ K and B? hCK
Decays in QCD Factorization(Song, Chao,
Phys.Lett. B568 (2003)127)(Song, Meng, Gao,
Chao, Phys.Rev.D69(2003)054009)(Song, Meng,
Chao, Eur.Phys.JC36(2004)365)
- BBNS (Beneke et al.) QCD factorization
- Good for B?pi pi, B?D pi.
- Problems for B?charmoniumK
14- Color transparency, cc-bar small size, viewed as
a color (singlet) dipole, factorization might be
good? - S-wave B?J/? K (infrared safe) , but smaller
than data by 8 times (Chay-Kim, Cheng-Yang)
- S-wave B? ?C K (infrared safe) , but smaller
than data by 8 times (Song-Meng-Chao) - P-wave B? ?CJ K and B? hCK , Infrared
divergences (due to vertex corrections) in QCD
factorization and NRQCD
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28Z M2/MB2 ? 4mc 2 /mb2 ? is the gluon mass for
infrared regularization
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34If using the infrared divergence term to
estimate the B exclusive decay widths as in the
case of hadronic decay widths
?(hc ? ggg)5/6 ? (?c1?qqg)
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36Too large branching ratio for B?hcK ! New method
and ingredients based on NRQCD are expected to
remove infrared divergences !
37Questions about NRQCD color-octet
mechanism Color octet components in charmonium
should help, as in the INCLUSIVE B decays, to
enhance the decay rates and remove the infrared
divergences, but HOW to do it in EXCLUSIVE decays?
38Other approach to solve the problems
- Rescattering effects by intermediate charmed
mesons, B? DDs?XcoK - (Colangelo-DeFazio-Pham,PLB542(2002)71
PRD69(2004),054023) - LCSR large for B?J/psi K, Xc1K
- small for B?etacK, XcoK
- (Melic, PRD68(2003)034004)
- (Wang-Li-Huang, hep-ph/0311296)