Charmonium Hybrid Production in exclusive B-decays

Frank Close + Stephen Godfrey

Phys Lett B574 (2003) 210

SpectroscopyDecayProductionSignatures

2S: 1-

1S: 1-

2+

1+

0+

3097

3686

3415 3510 3556

cc*)

DD* 3870

DD 3730

DD** 4280

Spectroscopy2

2S: 1-

1S: 1-

2+

1+

0+

3097

3686

3415 3510 3556

cc*)

DD* 3870

DD 3730

DD** 4280

Flux tube 4.0 – 4.2

Lattice 1^{-+} 4.04-4.4

Quenched Lattice 1^{-+} 4.43 \pm 0.04

Hybrid Spectroscopy3

2S: 1-

1S: 1-

2+

1+

0+

3097

3686

3415 3510 3556

cc*)

DD* 3870

DD 3730

DD** 4280

Hybrid

DD** =O(10) MeV

DD*; not DD; not D*D*

Cascade to cc* + pions, omega, gamma

Decays4

Light hadrons

cc*)Hybrid Production

b

c c*

sB KFactorisation: cc* = 0-,1-,1+

Expt: also 0+,2+ rate like 1-,1+ !

Color octet contributions big

5

cc*)Hybrid Production

b

c c*

sB KFactorisation: cc* = 0-,1-,1+

Expt: also 0+,2+ rate like 1-,1+ !

Color octet contributions big

Octet higher order v/cBut larger Wilson coeffs. Leading behaviour for hybrids

6

cc*)Hybrid Production

b

c c*

sB K

Estimates of rates

Chiladze Falk Petrov 98

M = 4GeV but Lattice =4.7GeV reduces rate.

Close Dunietz Page Veseli Yamamoto 98

= similar to conventional charmonium

7

Effect of DD** threshold8

cc*)Hybrid Signatures

M< DD**

50

120

M>DD**

6

5

Events/100fb-1

10 3

Width 1 keV. MonochromaticAlso seek cc*

BaBar measures

so accessible

9

Mass distributions of light hadrons

Decays to charmed hadrons

Critical for

Anomalous modes: no DD, no D*D* some DD* prominent DD**

10

Mass distributions of light hadrons

Decays to charmed hadrons

K(*) momentum spectrumExcess low mom K(*) recoil against4-4.5 GeV hybrid

11

cc*)Hybrid Backgrounds

cc* with similar M and narrow widths

12

Hybrid Charmonium

Production rates from B similar cc* 0.1-1%

Relatively narrow

Distinctive final states

Observable branching ratios

13

Mass distributions of light hadrons;

e.g. Belle see