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Paper IPM / Particles / 13975 |
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Abstract: | |
The production of heavy quarkonia is a powerful tool to test our understanding of strong interaction dynamics. It is well-known that the dominant production mechanism for heavy quarkonia with large transverse momentum is fragmentation. In this work we, analytically, calculate the QCD leading order contribution to the process-independent fragmentation functions (FFs) for a gluon to split into the vector (J/ψ) and pseudoscalar (ηc) S-wave charmonium states. The analyses of this paper differ in which we present, for the first time, an analytical form of the
g→ J/ψ FF using a different approach (Suzuki's model) in comparison with other results presented in literatures, where the Braaten's scheme was used and
the two-dimensional integrals were presented for the gluon FFs which must be evaluated numerically.
The universal fragmentation probability for the g→ J/ψ is about 10−6 which is in good consistency with the result obtained in the Braaten's model.
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