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114
Eric
Swanson
GHP2004
Oct
,
2004
DD* and D*D* Molecules
X(3872)
D. Acosta (CDF) hep-ex/0312021
S.-K. Choi (Belle), hep-ex/0309032
X(3872)
B. Aubert (Babar) hep-ex/0402025
CDF @ ICHEP
Belle
X Mass and Width
3850
3800
3950
4000
3900
3D3
3D2
3D1
1D2
2 3P2
3P1
3P0
1P1
✔
✔
✘
✘
✘
cc states
3850
3800
3950
4000
3900
3D3
3D2
3D1
1D2
2 3P2
3P1
3P0
1P1
thresholds
ESS, PLB588, 189 (2004)
constituent quark interaction
quark-pion interaction
we need a microscopic model:
ESS, PLB588, 189 (2004)
constituent quark interaction
quark-pion interaction
project onto DD* S- and D-wave,
channels
, and
we need a microscopic model:
[and to and ]
A. de Rujula, H. Georgi, S. Glashow, PRL38, 317 (1977)
0
0
Interpretation
mass is very close to D D* , not so close to CQM states
postulate a DD* bound state
examine two mechanisms for binding: pion exchange and quark interactions
[history of molecular DD states dates to 1976 and the ψ(4040)]
N. Törnqvist, Z. Phys. C61, 525 (1994)
pion exchange
isospin breaking
channels
strongest attraction: I=0 1
++
coupled channel problem
strongest attraction: I=0 1
++
find a single bound state
coupled channel problem
N. Tornqvist, Z. Phys. C61, 525 (1994)
nonrelativistic PsV interaction:
pion exchange
T. Barnes & ESS, PRD46, 131 (1992)
ESS, Ann Phys 220, 73 (1992)
D
D*
ω
J/ψ
quark-level interactions
strongest attraction: I=0 1
++
find a single bound state
isospin symmetry violation is natural in weakly bound molecules
coupled channel problem
components
Decay Mechanisms
rearrangement
dissociation
annihilation
pion induced
Decay Mechanisms
mixing
ππ production
decay widths
weak binding → use free space decay widths to estimate dissociation decay modes
/
/
K. Abe et al [Belle], hep-ex/0408116
decay widths
weak binding → use free space decay widths to estimate dissociation decay modes
/
/
decay widths
EM Transitions
ESS, PLB to appear
EM Transitions
ESS, PLB to appear
I=0 D*D* states
ESS, in progress
Other Molecules
Babar, hep-ex/0402025
Babar, hep-ex/0402025
preliminary
Decay Modes
Conclusions
X decay modes probe its structure and hence soft QCD
✛
ÆRIC
MEC
HEHT
GEWYRCAN
DD* →ω J/ψ T-Matrix
Effective Potential
k
Properties
0
119
{0, 0}
28 96 1040 633 0 0 1024 746
1.000000