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Predictions for $e^+e^-\to J/ψη_c$ with Light-Cone Wave-Functions

J. P. Ma·Z. G. Si
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Abstract

Predictions for $e^+e^-\to J/ψη_c$ from previous studies are made by taking charmonia as a nonrelativistic bound state and by using nonrelativistic QCD(NRQCD) approach. The predicted cross-section is smaller by an order of magnitude than the experimentally observed. We study the process by taking charm quark as a light quark and use light-cone wave-functions to parameterize nonperturbative effects related to charmonia. The total cross section of $e^+e^-\to J/ψη_c$ can be predicted, if these wave-functions are known. Motivated by studies of light-cone wave-functions of light hadrons, we make a reasonable assumption of the forms of light-cone wave-functions. With these light-cone wave-functions we can obtain the cross section which is more closer to the experimentally observed than that from NRQCD approach. We also discuss in detail the difference between two approaches.

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J. P. Ma, Z. G. Si. 2004-07-06. Predictions for $e^+e^-\to J/ψη_c$ with Light-Cone Wave-Functions. https://doi.org/10.1103/physrevd.70.074007

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