Double parton interaction: the values of $σ_{\rm eff}$

In this letter we show that the two parton showers mechanism for $J/Ψ$ production, that has been discussed in Ref.[28], leads to small values of $σ_{\rm eff}$ for the production of a pair of $J/Ψ$. We develop a simple two channel approach to estimate the values of $σ_{\rm eff}$, which produces values that are in accord with the experimental data.

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