Linac*LHC Based $ep, \gamma p, eA, \gamma A$ and $FEL\gamma-A$ Colliders: Luminosity and Physics

Main parameters and physics goals of different colliders, which can be realized if a special 1 TeV energy linear electron accelerator or corresponding linear collider is constructed tangential to LHC, are discussed. It is shown that L_(ep)=10^(32)cm^(-2)s^(-1) at sqrt(s_(ep))=5.29 TeV can be achieved within moderate upgrade of LHC parameters. Then, Gamma-p collider with he same luminosity and sqrt(s)=4.82 TeV can be realized using Compton backscattering of laser beam off the electron beam. Concerning the nucleus beam, L*A=10^(31)cm^(-2)s^(-1) can be achieved at least for light and medium nuclei for both eA and Gamma-A options. Finally, colliding of FEL beam from an electron linac and nucleus beam from LHC will give a new opportunity to investigate nuclear spektroscopy and photo-nuclei reactions.