Effect of charmed meson loops  on charmonium transitions

Guo, F.-K.; U.-G. Meißner, U.-G.; Hanhart, C.; Zhao, Q.; Li, G.

doi:10.1103/PhysRevD.83.034013

Journal Article

PreJuSER-18594

Effect of charmed meson loops on charmonium transitions

Guo, F.-K. ; Hanhart, C.FZJ* ; Li, G. ; U.-G. Meißner, U.-G.FZJ* ; Zhao, Q.

2011
Soc. [S.l.]

Physical review / D 83(3), 034013 (2011) [10.1103/PhysRevD.83.034013]

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Please use a persistent id in citations: http://hdl.handle.net/2128/10305 doi:10.1103/PhysRevD.83.034013

Abstract: The effects of intermediate charmed mesons on charmonium transitions with the emission of one pion or eta are studied systematically. Based on a nonrelativistic effective field theory we show that charmed meson loops are enhanced compared to the corresponding tree-level contributions for transitions between two S-wave charmonia as well as for transitions between two P-wave charmonia. On the contrary, for the transitions between one S-wave and one P-wave charmonium state, the loops need to be analyzed case by case and often appear to be suppressed. The relation to and possible implications for an effective Lagrangian approach are also discussed. This study at the same time provides a cross-check for the numerical evaluations.

Keyword(s): effective field theory: nonrelativistic ; charmed meson: intermediate state ; charmonium: hadronic decay ; effective Lagrangian: chiral ; pi0: production ; eta: production ; Feynman graph: higher-order ; tree approximation ; ground state ; excited state ; charmonium: width ; amplitude analysis ; numerical calculations ; bibliography

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Note: We thank Yu Jia, Thomas Mannel, and Joan Soto for useful discussions. F.-K.G., C. H., and U.-G. M. thank the Helmholtz Association for funds provided to the virtual institute "Spin and strong QCD'' (VH-VI-231) and by the DFG (SFB/TR 16, "Subnuclear Structure of Matter'') and the European Community-Research Infrastructure Integrating Activity Study of Strongly Interacting Matter'' (acronym HadronPhysics2, Grant Agreement No. 227431) under the Seventh Framework Program of the EU. U.-G. M. also thanks the BMBF for support (Grant No. 06BN9006). Q.Z. and G. L. acknowledge the support, in part, from the National Natural Science Foundation of China (Grants No. 10675131, No. 10491306, and No. 10947007), Chinese Academy of Sciences (No. KJCX3-SYW-N2), and Ministry of Science and Technology of China (No. 2009CB825200). G. L. thanks the partial support from Shandong Province (Grant No. ZR2010AM011).

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