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In the framework of perturbative QCD and nonrelativistic bound stateformalism, we calculate the production of $B_c$ and $B_c^*$ mesons at theconditions of the CDF and LHCb experiments. We derive first estimations for the$B_c$ wave function from a comparison with the available data.

First estimates of the $B_c$ wave function from the data on the $B_c$ production cross section