Quarkonium Production at LHCb

Despite large experimental and theoretical efforts, quarkonium production in hadronic collisions is not yet satisfactorily understood. Due to its forward geometry, LHCb has the unique opportunity to explore the field of quarkonium production at high rapidity, thus exploring a new and unknown territory. We report the measurement of the double differential $J/\psi$, $\psi(2S)$ and $\Upsilon$ cross section at LHCb with the data sample recorded by the LHCb experiment during the 2010 data taking. The $J/\psi$ prompt components is separated from the products of $b$-hadrons decays using topological information. The results are compared with several theoretical models and other experiments. Preliminary results and prospects for the exotic quarkonium states as $X(3872)$ and $X(4140)$ will also be given.