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We propose and demonstrate that a gamma-gamma collider with W_gg < 12 GeV canbe added to the European XFEL with a minimal disruption to its main program.High-energy photons will be obtained by Compton scattering of 0.5 micron laserphotons on the existing 17.5 GeV electron beams. Such a gamma-gamma colliderwould be an excellent place for the development and application of moderntechnologies: powerful lasers, optical cavities, superconducting linacs, andlow-emittance electron sources -- as well as training the next generation ofaccelerator physicists and engineers. The physics program would includespectroscopy of C=+ resonances in various J^P states b\bar{b}, c\bar{c},four-quark states, quark molecules and other exotica) in a mass range barelyscratched by past and not covered by any current or planned experiments.Variable circular and linear polarizations will help in the determination ofquantum numbers and measurement of polarization components of the gamma-gammacross section (\sigma_\perp, \sigma_\parallel, \sigma_0, \sigma_2).

Gamma-gamma collider with W_gg < 12 GeV based on the 17.5 GeV SC linac of the European XFEL