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Tcc’s and their production in electron-positron collisions
Yan-Rui Liu (刘言锐)
Shandong University
全国第十届重味物理和CP破坏研讨会@青岛(Oct. 25-28, 2012)
In collaboration with
M. Oka, T. Hyodo, S. Yasui, K. Sudoh
arXiv: 1209.6207 [hep-ph]
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Content
• Exotic tetraquarks: Tcc
• Tcc production in e+e- collisions
• Summary and perspectives
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What is Tcc ?
• Conventional and exotic hadrons
• Charmonium
• c c
• cc Tcc
Flavor exotic
no annihilation!!
Existent?
Stable?
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Diquarks in conventional baryons
• Color-spin interaction from gluon exchange
• “Good” light diquark in c
color=3, s=0, I=0
• “Bad” light diquark in c & c*
color=3, s=1, I=1
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Diquarks in conventional baryons
• Heavy diquark in cc
cc: color=3, s=1, I=0
cc: color=6, s=0, I=0
• NRQCD
J.P. Ma , Z.G. Si,
Phys. Lett. B 568, 135 (2003).
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Diquarks in Tcc
• Tcc with “Good” light diquark
ud: color=3, s=0, I=0
cc: color=3, s=1, I=0
• Interactions ud: 1/mC
0 dominant attraction cq: 1/mC
1 suppressed cc: 1/mC
2 suppressed
Stable?
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Stability of Tcc
• Lowest two-meson threshold: DD*
• Binding energy from this threshold
B.E. 71 MeV
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• Tcc studied in many Refs.
Doubly charmed compact tetraquark I(JP)=0(1+) ・ S. Zouzou, B. Silvestre-Brac, C. Gignoux, J. M. Richard, Z. Phys. C30, 457 (1986).
・ H. J. Lipkin, Phys. Lett. B 172, 242 (1986).
・ L. Heller and J. A. Tjon, Phys. Rev. D 35, 969 (1987).
・ J. Carlson, L. Heller, J. A. Tjon, Phys. Rev. D37, 744 (1988).
・ B. Silvestre-Brac and C. Semay, Z. Phys. C 57, 273 (1993).
・ B. Silvestre-Brac and C. Semay, Z. Phys. C 59, 457 (1993).
・ C. Semay, B. Silvestre-Brac, Z. Phys. C61, 271-275 (1994).
・ S. Pepin, F. Stancu, M. Genovese and J. M. Richard, Phys. Lett. B 393, 119 (1997).
・ J. Schaffner-Bielich and A. P. Vischer, Phys. Rev. D 57 4142 (1998).
・ D. M. Brink and F. Stancu, Phys. Rev. D 57, 6778 (1998).
・ D. Janc and M. Rosina, Few Body Syst. 35, 175 (2004).
・ J. Vijande, E. Weissman, A. Valcarce, N. Barnea, Phys. Rev. D76, 094027 (2007).
・ J. Vijande, A. Valcarce and J. M. Richard, Phys. Rev. D 76, 114013 (2007).
・ D. Ebert, R. N. Faustov, V. O. Galkin and W. Lucha, Phys. Rev. D 76, 114015 (2007).
・ F. S. Navarra, M. Nielsen and S. H. Lee, Phys. Lett. B 649, 166 (2007).
・ M. Zhang, H. X. Zhang and Z. Y. Zhang, Commun. Theor. Phys. 50, 437 (2008).
・ S. H. Lee, S. Yasui, W. Liu, C. M. Ko, Eur. Phys. J. C54, 259-265 (2008).
・ Y. Yang, C. Deng, J. Ping and T. Goldman, Phys. Rev. D 80, 114023 (2009).
・ J. Vijande, A. Valcarce, N. Barnea, Phys. Rev. D79, 074010 (2009).
・ T. F. Carames, A. Valcarce and J. Vijande, Phys. Lett. B 699, 291 (2011).
・ J. Vijande, A. Valcarce and T. F. Carames, Few Body Syst. 50, 195 (2011).
Support its existence
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&
• Notation for the ground Tcc:
• Another configuration:
ud: color=6, s=1, I=0
cc: color=6, s=0, I=0
Weaker attraction
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Decay of
• Mass splitting between and
M.S. 125 MeV
• Energy levels
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Decay of
• To and : kinematically forbidden
• To DD*: dominant decay, color recombination and size of cc may be narrow
• Two “narrow” Tcc states:
• Mixing?
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Mixing between and
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Production of Tcc
A. Del Fabbro, D. Janc, M. Rosina, D. Treleani, PRD71, 014008 (2005)
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Tcc production in
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Inclusive cc production:
J.P. Ma , Z.G. Si,
Phys. Lett. B 568, 135 (2003).
Framework: NRQCD
Tcc production in
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Tcc production in
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Tcc production in
e+ e- Θ
p
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Different behavior for and
・Peak position and height
・Θ-dependence
・ …
e+ e- Θ
p
[1/GeV]
Independent of h
Jiang, Wu,, Liao, Zheng, Fang, arXiv: 1208.3051 [hep-ph]
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Total cross section
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Total cross section
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Total cross section
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Summary and perspectives
• Color configurations in doubly charmed Tcc
• Estimate the cross sections of and
produced in e+e- collisions: different momentum- and angle-dependence
• More rigorous studies should be required:
mixing, h, …
Thank you!